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Global existence and boundedness in a Keller–Segel–Stokes system involving a tensor-valued sensitivity with saturation

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/mma.1146openalex-snapshot
Does a ‘volume-filling effect’ always prevent chemotactic collapse?
inferredcites →https://doi.org/10.1006/jdeq.1993.1045openalex-snapshot
Holder Estimates for Local Solutions of Some Doubly Nonlinear Degenerate Parabolic Equations
inferredcites →https://doi.org/10.1007/bfb0082920openalex-snapshot
Partial Differential Equations
inferredcites →https://doi.org/10.1007/bfb0089647openalex-snapshot
Geometric Theory of Semilinear Parabolic Equations
inferredcites →https://doi.org/10.1007/s00033-015-0541-yopenalex-snapshot
Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis–fluid system
inferredcites →https://doi.org/10.1007/s00033-017-0816-6openalex-snapshot
Global existence and boundedness in a 3D Keller–Segel–Stokes system with nonlinear diffusion and rotational flux
inferredcites →https://doi.org/10.1007/s00205-013-0678-9openalex-snapshot
Stabilization in a two-dimensional chemotaxis-Navier–Stokes system
inferredcites →https://doi.org/10.1007/s00285-008-0201-3openalex-snapshot
A user’s guide to PDE models for chemotaxis
inferredcites →https://doi.org/10.1007/s00285-013-0748-5openalex-snapshot
Macroscopic equations for bacterial chemotaxis: integration of detailed biochemistry of cell signaling
inferredcites →https://doi.org/10.1007/s00526-015-0922-2openalex-snapshot
Boundedness and large time behavior in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity
inferredcites →https://doi.org/10.1007/s00526-016-1027-2openalex-snapshot
Global classical small-data solutions for a three-dimensional chemotaxis Navier–Stokes system involving matrix-valued sensitivities
inferredcites →https://doi.org/10.1016/0022-0396(86)90096-3openalex-snapshot
Solutions for semilinear parabolic equations in Lp and regularity of weak solutions of the Navier-Stokes system
inferredcites →https://doi.org/10.1016/0022-1236(91)90136-sopenalex-snapshot
Abstract Lp estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
inferredcites →https://doi.org/10.1016/j.anihpc.2011.04.005openalex-snapshot
A coupled chemotaxis-fluid model: Global existence
inferredcites →https://doi.org/10.1016/j.anihpc.2012.07.002openalex-snapshot
Locally bounded global solutions in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion
inferredcites →https://doi.org/10.1016/j.anihpc.2015.05.002openalex-snapshot
Global weak solutions in a three-dimensional chemotaxis–Navier–Stokes system
inferredcites →https://doi.org/10.1016/j.jde.2004.10.022openalex-snapshot
Boundedness vs. blow-up in a chemotaxis system
inferredcites →https://doi.org/10.1016/j.jde.2010.02.008openalex-snapshot
Aggregation vs. global diffusive behavior in the higher-dimensional Keller–Segel model
inferredcites →https://doi.org/10.1016/j.jde.2011.07.010openalex-snapshot
Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant
inferredcites →https://doi.org/10.1016/j.jde.2011.08.019openalex-snapshot
Boundedness in a quasilinear parabolic–parabolic Keller–Segel system with subcritical sensitivity
inferredcites →https://doi.org/10.1016/j.jde.2012.01.045openalex-snapshot
Finite-time blowup and global-in-time unbounded solutions to a parabolic–parabolic quasilinear Keller–Segel system in higher dimensions
inferredcites →https://doi.org/10.1016/j.jde.2014.01.028openalex-snapshot
Boundedness in quasilinear Keller–Segel systems of parabolic–parabolic type on non-convex bounded domains
inferredcites →https://doi.org/10.1016/j.jde.2014.12.004openalex-snapshot
New critical exponents in a fully parabolic quasilinear Keller–Segel system and applications to volume filling models
inferredcites →https://doi.org/10.1016/j.jde.2015.05.012openalex-snapshot
Global weak solutions for the three-dimensional chemotaxis-Navier–Stokes system with nonlinear diffusion
inferredcites →https://doi.org/10.1016/j.jfa.2015.10.016openalex-snapshot
Existence and uniqueness theorem on mild solutions to the Keller–Segel system coupled with the Navier–Stokes fluid
inferredcites →https://doi.org/10.1016/j.jmaa.2004.12.009openalex-snapshot
Preventing blow-up in a chemotaxis model
inferredcites →https://doi.org/10.1016/j.jmaa.2013.08.008openalex-snapshot
Decay estimates of the coupled chemotaxis–fluid equations in R3
inferredcites →https://doi.org/10.1016/j.jmaa.2015.02.023openalex-snapshot
Existence and decay of global smooth solutions to the coupled chemotaxis–fluid model
inferredcites →https://doi.org/10.1016/j.matpur.2013.01.020openalex-snapshot
Finite-time blow-up in the higher-dimensional parabolic–parabolic Keller–Segel system
inferredcites →https://doi.org/10.1016/j.nonrwa.2014.07.001openalex-snapshot
Reaction terms avoiding aggregation in slow fluids
inferredcites →https://doi.org/10.1016/j.nonrwa.2016.03.008openalex-snapshot
Sublinear signal production in a two-dimensional Keller–Segel–Stokes system
inferredcites →https://doi.org/10.1073/pnas.0406724102openalex-snapshot
Bacterial swimming and oxygen transport near contact lines
inferredcites →https://doi.org/10.1080/03605302.2010.497199openalex-snapshot
Global Solutions to the Coupled Chemotaxis-Fluid Equations
inferredcites →https://doi.org/10.1080/03605302.2011.589879openalex-snapshot
Biomixing by Chemotaxis and Enhancement of Biological Reactions
inferredcites →https://doi.org/10.1080/03605302.2011.591865openalex-snapshot
Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops
inferredcites →https://doi.org/10.1080/03605302.2013.852224openalex-snapshot
Global Existence and Temporal Decay in Keller-Segel Models Coupled to Fluid Equations
inferredcites →https://doi.org/10.1088/0951-7715/27/8/1899openalex-snapshot
Global-in-time bounded weak solutions to a degenerate quasilinear Keller–Segel system with rotation
inferredcites →https://doi.org/10.1090/mmono/023openalex-snapshot
Linear and Quasi-linear Equations of Parabolic Type
inferredcites →https://doi.org/10.1090/tran/6733openalex-snapshot
How far do chemotaxis-driven forces influence regularity in the Navier-Stokes system?
inferredcites →https://doi.org/10.1093/imrn/rns270openalex-snapshot
A Note on Global Existence for the Chemotaxis–Stokes Model with Nonlinear Diffusion
inferredcites →https://doi.org/10.1137/070711505openalex-snapshot
Multiscale Models of Taxis-Driven Patterning in Bacterial Populations
inferredcites →https://doi.org/10.1137/130936920openalex-snapshot
Global Well-Posedness for the Two-Dimensional Incompressible Chemotaxis-Navier--Stokes Equations
inferredcites →https://doi.org/10.1137/140979708openalex-snapshot
Large-Data Global Generalized Solutions in a Chemotaxis System with Tensor-Valued Sensitivities
inferredcites →https://doi.org/10.1142/s0218202510004507openalex-snapshot
COUPLED CHEMOTAXIS FLUID MODEL
inferredcites →https://doi.org/10.1142/s0218202515500177openalex-snapshot
Global small-data solutions of a two-dimensional chemotaxis system with rotational flux terms
inferredcites →https://doi.org/10.1142/s021820251550044xopenalex-snapshot
Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
inferredcites →https://doi.org/10.3934/dcds.2010.28.1437openalex-snapshot
Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: Global existence and asymptotic behavior
inferredcites →https://doi.org/10.3934/dcds.2012.32.1901openalex-snapshot
Global existence and boundedness in a Keller-Segel-Stokes model with arbitrary porous medium diffusion
inferredcites →https://doi.org/10.3934/dcds.2013.33.2271openalex-snapshot
Existence of smooth solutions to coupled chemotaxis-fluid equations
inferredcites →https://doi.org/10.3934/dcds.2015.35.3463openalex-snapshot
Global existence and boundedness for chemotaxis-Navier-Stokes systems with position-dependent sensitivity in 2D bounded domains
inferredcites →https://doi.org/10.3934/dcdsb.2015.20.2751openalex-snapshot
Convergence rates of solutions for a two-dimensional chemotaxis-Navier-Stokes system
inferredcites →https://doi.org/10.3934/dcdsb.2015.20.3235openalex-snapshot
Global classical solutions of a 3D chemotaxis-Stokes system with rotation
inferredcites →https://doi.org/10.4310/cms.2012.v10.n2.a7openalex-snapshot
A coupled Keller–Segel–Stokes model: global existence for small initial data and blow-up delay
inferredcites →https://doi.org/10.4310/cms.2014.v12.n3.a8openalex-snapshot
Weak solutions for a bioconvection model related to Bacillus subtilis

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.4683696openalex-extracted
A New Result for Global Solvability of Keller-Segel-Navier-Stokes System with Nonlinear Diffusion and Matrix-Valued Sensitivities in Three Dimensions
inferred← citeshttps://doi.org/10.1002/mma.10671openalex-snapshot
Global Mild Solution for a Fractional Chemotaxis–Fluid System Modeling Coral Fertilization With Tensor‐Valued Sensitivity
inferred← citeshttps://doi.org/10.1002/mma.4807openalex-snapshot
Global existence and asymptotic behavior of classical solutions for a 3D two‐species chemotaxis‐Stokes system with competitive kinetics
inferred← citeshttps://doi.org/10.1002/mma.5561openalex-snapshot
A Keller‐Segel‐fluid system with singular sensitivity: Generalized solutions
inferred← citeshttps://doi.org/10.1002/mma.5920openalex-snapshot
Global existence and boundedness in a chemotaxis‐Stokes system with arbitrary porous medium diffusion
inferred← citeshttps://doi.org/10.1002/mma.6154openalex-snapshot
Global weak solutions and eventual smoothness in a 3D two‐competing‐species chemotaxis‐Navier‐Stokes system with two consumed signals
inferred← citeshttps://doi.org/10.1002/mma.7137openalex-snapshot
The small‐convection limit in a two‐dimensional chemotaxis‐Navier‐Stokes system with singular sensitivity
inferred← citeshttps://doi.org/10.1002/mma.7503openalex-snapshot
Stabilization in a high‐dimensional chemotaxis system involving arbitrary superlinear degradation
inferred← citeshttps://doi.org/10.1002/mma.9419openalex-snapshot
Keller–Segel–Stokes interaction involving signal‐dependent motilities
inferred← citeshttps://doi.org/10.1002/zamm.70064openalex-snapshot
Global boundedness of solutions for a quasilinear chemotaxis‐Stokes system with nonlinear production
inferred← citeshttps://doi.org/10.1007/978-3-030-15242-0_12openalex-snapshot
Mathematical Research for Models Which is Related to Chemotaxis System
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Does Fluid Interaction Affect Regularity in the Three-Dimensional Keller–Segel System with Saturated Sensitivity?
inferred← citeshttps://doi.org/10.1007/s00021-019-0469-7openalex-snapshot
Boundedness in a Chemotaxis-(Navier–)Stokes System Modeling Coral Fertilization with Slow p-Laplacian Diffusion
inferred← citeshttps://doi.org/10.1007/s00021-021-00600-3openalex-snapshot
Global Classical Solutions and Stabilization in a Two-Dimensional Parabolic-Elliptic Keller–Segel–Stokes System
inferred← citeshttps://doi.org/10.1007/s00021-024-00899-8openalex-snapshot
Uniform $$L^p$$ Estimates for Solutions to the Inhomogeneous 2D Navier–Stokes Equations and Application to a Chemotaxis–Fluid System with Local Sensing
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A Sharp Global Boundedness Result for Keller–Segel–(Navier–)Stokes Systems with Rapid Diffusion and Saturated Sensitivities
inferred← citeshttps://doi.org/10.1007/s00025-025-02537-9openalex-snapshot
Local Existence and Finite-Time Blow-up in a Rotational Chemotaxis System with Two Species and Two Chemicals
inferred← citeshttps://doi.org/10.1007/s00028-017-0411-5openalex-snapshot
Singular sensitivity in a Keller–Segel-fluid system
inferred← citeshttps://doi.org/10.1007/s00028-018-0440-8openalex-snapshot
Global mass-preserving solutions in a two-dimensional chemotaxis-Stokes system with rotational flux components
inferred← citeshttps://doi.org/10.1007/s00028-026-01247-1openalex-snapshot
Global boundedness for three-dimensional Keller–Segel–Stokes system modeling indirect signal production with nonlinear diffusion
inferred← citeshttps://doi.org/10.1007/s00030-019-0600-8openalex-snapshot
Does repulsion-type directional preference in chemotactic migration continue to regularize Keller–Segel systems when coupled to the Navier–Stokes equations?
inferred← citeshttps://doi.org/10.1007/s00033-016-0732-1openalex-snapshot
Blow-up prevention by quadratic degradation in a two-dimensional Keller–Segel–Navier–Stokes system
inferred← citeshttps://doi.org/10.1007/s00033-017-0816-6openalex-snapshot
Global existence and boundedness in a 3D Keller–Segel–Stokes system with nonlinear diffusion and rotational flux
inferred← citeshttps://doi.org/10.1007/s00033-019-1147-6openalex-snapshot
Global existence and boundedness of weak solutions to a chemotaxis–Stokes system with rotational flux term
inferred← citeshttps://doi.org/10.1007/s00033-019-1202-3openalex-snapshot
On a Keller–Segel–Stokes system with logistic type growth: blow-up prevention enforced by sublinear signal production
inferred← citeshttps://doi.org/10.1007/s00033-019-1232-xopenalex-snapshot
Boundedness in a two-dimensional Keller–Segel–Navier–Stokes system involving a rapidly diffusing repulsive signal
inferred← citeshttps://doi.org/10.1007/s00033-020-1285-xopenalex-snapshot
Fluid interaction does not affect the critical exponent in a three-dimensional Keller–Segel–Stokes model
inferred← citeshttps://doi.org/10.1007/s00033-020-1290-0openalex-snapshot
Eventual smoothness and stabilization of renormalized radial solutions in a chemotaxis consumption system with bounded chemotactic sensitivity
inferred← citeshttps://doi.org/10.1007/s00033-021-01508-8openalex-snapshot
Suppressing blow-up by gradient-dependent flux limitation in a planar Keller–Segel–Navier–Stokes system
inferred← citeshttps://doi.org/10.1007/s00033-021-01546-2openalex-snapshot
A new result for the global existence and boundedness of weak solutions to a chemotaxis-Stokes system with rotational flux term
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Global existence of solutions without Dirac-type singularity to a chemotaxis–fluid system with arbitrary superlinear degradation
inferred← citeshttps://doi.org/10.1007/s00033-024-02223-wopenalex-snapshot
Globally bounded solutions in a 2D chemotaxis-Navier–Stokes system with general sensitivity and nonlinear production
inferred← citeshttps://doi.org/10.1007/s00033-024-02323-7openalex-snapshot
Blow-up prevention by indirect signal production mechanism in a two-dimensional Keller–Segel–(Navier–)Stokes system
inferred← citeshttps://doi.org/10.1007/s00033-024-02400-xopenalex-snapshot
Global classical solutions of 2D Keller–Segel–Navier–Stokes equations with logistic source
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Existence of global weak solution for a self-consistent Keller–Segel–Navier–Stokes system with tensor-valued sensitivity and signal production in three dimensions
inferred← citeshttps://doi.org/10.1007/s00033-025-02621-8openalex-snapshot
Global existence and classical boundedness of solutions in a two-dimensional chemotaxis-Stokes system involving logistic source term
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Maintenance of global boundedness for a 2D chemotaxis-Navier–Stokes system with strengthened cross-diffusion
inferred← citeshttps://doi.org/10.1007/s00033-025-02691-8openalex-snapshot
Global classical solutions to a chemotaxis-fluid system with singular sensitivity and indirect signal production
inferred← citeshttps://doi.org/10.1007/s00033-026-02931-5openalex-snapshot
Global existence and uniform boundedness of classical solutions to a two-dimensional Keller–Segel–Navier–Stokes system with tensor-valued sensitivity
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The small-convection limit in a two-dimensional chemotaxis-Navier–Stokes system
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Optimal Regularity and the Sharp Saturation Exponent for the 3D Keller–Segel–Stokes System
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On the Existence of Solutions for a Three-Dimensional Keller–Segel–Navier–Stokes System with Indirect Signal Production
inferred← citeshttps://doi.org/10.1007/s00526-016-1027-2openalex-snapshot
Global classical small-data solutions for a three-dimensional chemotaxis Navier–Stokes system involving matrix-valued sensitivities
inferred← citeshttps://doi.org/10.1007/s00526-019-1568-2openalex-snapshot
An optimal result for global existence in a three-dimensional Keller–Segel–Navier–Stokes system involving tensor-valued sensitivity with saturation
inferred← citeshttps://doi.org/10.1007/s00526-019-1656-3openalex-snapshot
The fast signal diffusion limit in Keller–Segel(-fluid) systems
inferred← citeshttps://doi.org/10.1007/s00526-021-02039-wopenalex-snapshot
To what extent is cross-diffusion controllable in a two-dimensional chemotaxis-(Navier–)Stokes system modeling coral fertilization
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Stabilization in a two-dimensional attraction–repulsion Stokes system with consumption of chemoattractant
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Global existence and boundedness in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity
inferred← citeshttps://doi.org/10.1007/s10255-023-1092-1openalex-snapshot
Large Time Behavior of Solutions to a 3D Keller-Segel-Stokes System Involving a Tensor-valued Sensitivity with Saturation
inferred← citeshttps://doi.org/10.1007/s10255-025-0030-9openalex-snapshot
Some Further Progress for Existence and Boundedness of Solutions to a Two-dimensional Chemotaxis-(Navier-) Stokes System Modeling Coral Fertilization
inferred← citeshttps://doi.org/10.1007/s10440-019-00307-8openalex-snapshot
Blow-up Prevention by Saturated Chemotactic Sensitivity in a 2D Keller-Segel-Stokes System
inferred← citeshttps://doi.org/10.1007/s10440-020-00312-2openalex-snapshot
Can Fluid Interaction Influence the Critical Mass for Taxis-Driven Blow-up in Bounded Planar Domains?
inferred← citeshttps://doi.org/10.1007/s10440-020-00321-1openalex-snapshot
Global Strong Solutions to a Coupled Chemotaxis-Fluid Model with Subcritical Sensitivity
inferred← citeshttps://doi.org/10.1007/s10440-020-00374-2openalex-snapshot
Keller-Segel Chemotaxis Models: A Review
inferred← citeshttps://doi.org/10.1007/s10884-019-09797-4openalex-snapshot
Global Boundedness and Stabilization in a Two-Competing-Species Chemotaxis-Fluid System with Two Chemicals
inferred← citeshttps://doi.org/10.1007/s10884-021-10043-zopenalex-snapshot
The Stokes Limit in a Three-Dimensional Keller–Segel–Navier–Stokes System
inferred← citeshttps://doi.org/10.1007/s40306-025-00589-1openalex-snapshot
Stability in a Two-dimensional Keller-Segel-Navier-Stokes System
inferred← citeshttps://doi.org/10.1007/s40840-024-01807-zopenalex-snapshot
Finite-Time Blow-Up in a 2D Keller-Segel System with Spatially Dependent Rotational Flux
inferred← citeshttps://doi.org/10.1007/s41808-025-00331-wopenalex-snapshot
Convergence rates in an attraction-repulsion chemotaxis of parabolic-elliptic-elliptic type
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A further study on a 3D chemotaxis–Stokes system with tensor-valued sensitivity
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Boundedness in a three-dimensional Keller–Segel–Stokes system with subcritical sensitivity
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Regularized linear schemes for the molecular beam epitaxy model with slope selection
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Global boundedness in a 3D quasilinear Keller-Segel-Stokes system with nonlinear sensitivity and indirect signal production
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Linear, second order and unconditionally energy stable schemes for the viscous Cahn–Hilliard equation with hyperbolic relaxation using the invariant energy quadratization method
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Fully decoupled, linear and unconditionally energy stable time discretization scheme for solving the magneto-hydrodynamic equations
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Boundedness in a three-dimensional chemotaxis-Stokes system with tensor-valued sensitivity
inferred← citeshttps://doi.org/10.1016/j.camwa.2016.08.024openalex-snapshot
Global bounded weak solutions to a degenerate quasilinear attraction–repulsion chemotaxis system with rotation
inferred← citeshttps://doi.org/10.1016/j.camwa.2018.05.022openalex-snapshot
Boundedness in a 2D chemotaxis-Stokes system with general sensitivity and nonlinear diffusion
inferred← citeshttps://doi.org/10.1016/j.jde.2016.03.030openalex-snapshot
Boundedness and decay property in a three-dimensional Keller–Segel–Stokes system involving tensor-valued sensitivity with saturation
inferred← citeshttps://doi.org/10.1016/j.jde.2016.07.002openalex-snapshot
Boundedness and blow up in the higher-dimensional attraction–repulsion chemotaxis system with nonlinear diffusion
inferred← citeshttps://doi.org/10.1016/j.jde.2016.07.010openalex-snapshot
Global existence and boundedness in a Keller–Segel–Stokes system involving a tensor-valued sensitivity with saturation: The 3D case
inferred← citeshttps://doi.org/10.1016/j.jde.2016.09.007openalex-snapshot
Global classical solutions in chemotaxis(-Navier)-Stokes system with rotational flux term
inferred← citeshttps://doi.org/10.1016/j.jde.2017.01.024openalex-snapshot
Global weak solutions in a three-dimensional Keller–Segel–Navier–Stokes system involving a tensor-valued sensitivity with saturation
inferred← citeshttps://doi.org/10.1016/j.jde.2017.04.005openalex-snapshot
Global weak solutions in a three-dimensional Keller–Segel–Navier–Stokes system with nonlinear diffusion
inferred← citeshttps://doi.org/10.1016/j.jde.2017.07.015openalex-snapshot
Global existence and large time behavior for a two-dimensional chemotaxis-Navier–Stokes system
inferred← citeshttps://doi.org/10.1016/j.jde.2018.02.031openalex-snapshot
Global solvability and boundedness to a coupled chemotaxis-fluid model with arbitrary porous medium diffusion
inferred← citeshttps://doi.org/10.1016/j.jde.2018.04.035openalex-snapshot
Eventual smoothness of generalized solutions to a singular chemotaxis-Stokes system in 2D
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The small-convection limit in a two-dimensional Keller–Segel–Navier–Stokes system
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Global existence and convergence rates to a chemotaxis-fluids system with mixed boundary conditions
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An optimal result for global existence and boundedness in a three-dimensional Keller-Segel-Stokes system with nonlinear diffusion
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Global classical solutions in a Keller-Segel(-Navier)-Stokes system modeling coral fertilization
inferred← citeshttps://doi.org/10.1016/j.jde.2019.11.071openalex-snapshot
Blow-up prevention by nonlinear diffusion in a 2D Keller-Segel-Navier-Stokes system with rotational flux
inferred← citeshttps://doi.org/10.1016/j.jde.2019.11.072openalex-snapshot
Global boundedness of weak solutions for a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and rotation
inferred← citeshttps://doi.org/10.1016/j.jde.2019.11.078openalex-snapshot
Boundedness of weak solutions of a chemotaxis-Stokes system with slow p-Laplacian diffusion
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Global solutions to a 3D chemotaxis-Stokes system with nonlinear cell diffusion and Robin signal boundary condition
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Large time behavior in a three-dimensional degenerate chemotaxis-Stokes system modeling coral fertilization
inferred← citeshttps://doi.org/10.1016/j.jde.2020.09.009openalex-snapshot
Traveling pulse solutions of a generalized Keller-Segel system with small cell diffusion via a geometric approach
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A new result for the global existence (and boundedness) and regularity of a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization
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Conditional estimates in three-dimensional chemotaxis-Stokes systems and application to a Keller-Segel-fluid model accounting for gradient-dependent flux limitation
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Boundedness in a chemotaxis-fluid system involving a saturated sensitivity and indirect signal production mechanism
inferred← citeshttps://doi.org/10.1016/j.jde.2021.04.020openalex-snapshot
Global bounded weak solutions for a chemotaxis-Stokes system with nonlinear diffusion and rotation
inferred← citeshttps://doi.org/10.1016/j.jde.2022.01.015openalex-snapshot
Boundedness and asymptotic behavior in a Keller-Segel(-Navier)-Stokes system with indirect signal production
inferred← citeshttps://doi.org/10.1016/j.jde.2022.04.042openalex-snapshot
Eventual smoothness and stabilization in a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization
inferred← citeshttps://doi.org/10.1016/j.jde.2022.06.015openalex-snapshot
Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with indirect signal production
inferred← citeshttps://doi.org/10.1016/j.jde.2022.07.016openalex-snapshot
A new result for global solvability to a two-dimensional attraction-repulsion Navier-Stokes system with consumption of chemoattractant
inferred← citeshttps://doi.org/10.1016/j.jde.2023.01.004openalex-snapshot
Boundedness in a chemotaxis-fluid system involving a gradient-dependent flux limitation and indirect signal production mechanism
inferred← citeshttps://doi.org/10.1016/j.jde.2023.04.042openalex-snapshot
Global existence and boundedness for an N-dimensional parabolic-elliptic chemotaxis-fluid system with indirect pursuit-evasion
inferred← citeshttps://doi.org/10.1016/j.jde.2023.07.029openalex-snapshot
Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems
inferred← citeshttps://doi.org/10.1016/j.jde.2023.11.015openalex-snapshot
Boundedness of solutions for parabolic-elliptic predator-prey chemotaxis-fluid system with logistic source term
inferred← citeshttps://doi.org/10.1016/j.jde.2024.11.037openalex-snapshot
Boundedness in a two-dimensional chemotaxis-Navier-Stokes system modeling coral fertilization under the relatively strong chemotactic sensitivity
inferred← citeshttps://doi.org/10.1016/j.jde.2025.113990openalex-snapshot
Boundedness and stabilization in a three-dimensional Keller-Segel-Stokes system with a rapidly diffusing indirect signal
inferred← citeshttps://doi.org/10.1016/j.jde.2026.114098openalex-snapshot
The small-convection limit in a two-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization
inferred← citeshttps://doi.org/10.1016/j.jde.2026.114342openalex-snapshot
The global solvability and optimal time decay rates for the chemotaxis-shallow water system with large Péclet number
inferred← citeshttps://doi.org/10.1016/j.jde.2026.114616openalex-snapshot
Global solvability, boundedness and stabilization to a three-dimensional chemotaxis-Stokes system modeling coral fertilization
inferred← citeshttps://doi.org/10.1016/j.jde.2026.114657openalex-snapshot
Keller–Segel–Navier–Stokes systems involving general sensitivities with signal-dependent power-law decay
inferred← citeshttps://doi.org/10.1016/j.jfa.2018.12.009openalex-snapshot
A three-dimensional Keller–Segel–Navier–Stokes system with logistic source: Global weak solutions and asymptotic stabilization
inferred← citeshttps://doi.org/10.1016/j.jfa.2026.111573openalex-snapshot
The small-convection limit in a Nernst-Planck-Navier-Stokes system involving Dirichlet potential boundary condition
inferred← citeshttps://doi.org/10.1016/j.jmaa.2016.03.061openalex-snapshot
A quasilinear attraction–repulsion chemotaxis system of parabolic–elliptic type with logistic source
inferred← citeshttps://doi.org/10.1016/j.jmaa.2016.04.047openalex-snapshot
Boundedness in a three-dimensional chemotaxis–fluid system involving tensor-valued sensitivity with saturation
inferred← citeshttps://doi.org/10.1016/j.jmaa.2016.10.028openalex-snapshot
Global existence and boundedness in a Keller–Segel–(Navier–)Stokes system with signal-dependent sensitivity
inferred← citeshttps://doi.org/10.1016/j.jmaa.2017.12.048openalex-snapshot
Global classical solutions to the Keller–Segel–Navier–Stokes system with matrix-valued sensitivity
inferred← citeshttps://doi.org/10.1016/j.jmaa.2019.123748openalex-snapshot
Boundedness and asymptotic behavior to a chemotaxis-fluid system with singular sensitivity and logistic source
inferred← citeshttps://doi.org/10.1016/j.jmaa.2019.123750openalex-snapshot
Existence of weak and regular solutions for Keller–Segel system with degradation coupled to fluid equations
inferred← citeshttps://doi.org/10.1016/j.jmaa.2021.125908openalex-snapshot
Small-data solutions of chemotaxis-fluid system with indirect signal production
inferred← citeshttps://doi.org/10.1016/j.jmaa.2024.129071openalex-snapshot
Global boundedness in a two-dimensional chemotaxis-Navier-Stokes system modeling coral fertilization
inferred← citeshttps://doi.org/10.1016/j.jmaa.2025.129621openalex-snapshot
Global boundedness in a chemotaxis-Stokes system with nonlinear diffusion mechanism involving gradient dependent flux limitation and indirect signal production
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2016.03.008openalex-snapshot
Sublinear signal production in a two-dimensional Keller–Segel–Stokes system
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2017.02.005openalex-snapshot
Global existence and boundedness in a 2D Keller–Segel–Stokes system
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2017.11.009openalex-snapshot
Global large-data generalized solutions in a chemotactic movement with rotational flux caused by two stimuli
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2018.09.011openalex-snapshot
Global weak solutions to a 3-dimensional degenerate and singular chemotaxis–Navier–Stokes system with logistic source
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2020.103257openalex-snapshot
Global weak solutions in a three-dimensional Keller–Segel–Navier–Stokes system with gradient-dependent flux limitation
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2021.103389openalex-snapshot
Large time behavior in a fractional chemotaxis–Navier–Stokes system with logistic source
inferred← citeshttps://doi.org/10.1017/prm.2020.88openalex-snapshot
The convergence rate of the fast signal diffusion limit for a Keller–Segel–Stokes system with large initial data
inferred← citeshttps://doi.org/10.1017/s0956792522000067openalex-snapshot
The stability analysis of a 2D Keller–Segel–Navier–Stokes system in fast signal diffusion
inferred← citeshttps://doi.org/10.1017/s0956792525000154openalex-snapshot
Global dynamics for the generalised chemotaxis-Navier–Stokes system in $\mathbb{R}^3$
inferred← citeshttps://doi.org/10.1063/5.0326448openalex-snapshot
Global weak solutions in a parabolic–elliptic–elliptic Keller–Segel–Stokes system with nonlinear diffusion and indirect signal production
inferred← citeshttps://doi.org/10.1080/00036811.2017.1419199openalex-snapshot
A note on the global existence of a two-dimensional chemotaxis-Navier–Stokes system
inferred← citeshttps://doi.org/10.1080/00036811.2020.1766027openalex-snapshot
The rates of convergence for the chemotaxis-Navier–Stokes equations in a strip domain
inferred← citeshttps://doi.org/10.1080/00036811.2020.1767287openalex-snapshot
Global well-posedness for the 2D chemotaxis-fluid system with logistic source
inferred← citeshttps://doi.org/10.1088/1361-6544/aa9d5fopenalex-snapshot
Global classical solvability and stabilization in a two-dimensional chemotaxis-Navier–Stokes system modeling coral fertilization
inferred← citeshttps://doi.org/10.1088/1361-6544/ab834eopenalex-snapshot
Global weak solutions in a three-dimensional degenerate chemotaxis-Navier–Stokes system modeling coral fertilization
inferred← citeshttps://doi.org/10.1088/1361-6544/aca3f6openalex-snapshot
Finite-time blow-up and boundedness in a 2D Keller–Segel system with rotation
inferred← citeshttps://doi.org/10.1093/imrn/rnz056openalex-snapshot
Can Rotational Fluxes Impede the Tendency Toward Spatial Homogeneity in Nutrient Taxis(-Stokes) Systems?
inferred← citeshttps://doi.org/10.1137/19m1264199openalex-snapshot
Small-Mass Solutions in the Two-Dimensional Keller--Segel System Coupled to the Navier--Stokes Equations
inferred← citeshttps://doi.org/10.1137/21m140907xopenalex-snapshot
Generalized Solutions to a Chemotaxis-Navier--Stokes System with Arbitrary Superlinear Degradation
inferred← citeshttps://doi.org/10.1137/22m1531178openalex-snapshot
Two New Functional Inequalities and Their Application to the Eventual Smoothness of Solutions to a Chemotaxis-Navier–Stokes System with Rotational Flux
inferred← citeshttps://doi.org/10.1142/s0218202516020024openalex-snapshot
Chemotactic cross-diffusion in complex frameworks
inferred← citeshttps://doi.org/10.1142/s021820251640008xopenalex-snapshot
Long-term behaviour in a chemotaxis-fluid system with logistic source
inferred← citeshttps://doi.org/10.1142/s0218202517500579openalex-snapshot
Global weak solutions in a three-dimensional Keller–Segel–Navier–Stokes system with subcritical sensitivity
inferred← citeshttps://doi.org/10.1142/s0218202518500239openalex-snapshot
Global solutions to the coupled chemotaxis-fluids system in a 3D unbounded domain with boundary
inferred← citeshttps://doi.org/10.1142/s0218202520500244openalex-snapshot
Asymptotic dynamics on a chemotaxis-Navier–Stokes system with nonlinear diffusion and inhomogeneous boundary conditions
inferred← citeshttps://doi.org/10.1142/s0218202521500469openalex-snapshot
Global solvability and asymptotic stabilization in a three-dimensional Keller–Segel–Navier–Stokes system with indirect signal production
inferred← citeshttps://doi.org/10.1142/s021820252250004xopenalex-snapshot
Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the boundary
inferred← citeshttps://doi.org/10.1142/s0218202522500166openalex-snapshot
Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision
inferred← citeshttps://doi.org/10.1142/s0218202523400031openalex-snapshot
Global classical solvability and stabilization in a two-dimensional chemotaxis–fluid system with sub-logarithmic sensitivity
inferred← citeshttps://doi.org/10.1142/s0218202523400067openalex-snapshot
Global boundedness in a 2D chemotaxis-Navier–Stokes system with flux limitation and nonlinear production
inferred← citeshttps://doi.org/10.1142/s0218202523500628openalex-snapshot
How far do indirect signal production mechanisms influence regularity in the three-dimensional Keller–Segel–Navier–Stokes system?
inferred← citeshttps://doi.org/10.1142/s021820252550006xopenalex-snapshot
Global existence and stabilization of classical solutions to a Keller–Segel–(Navier–)Stokes system with tensor-valued sensitivity and prescribed signal concentration on the boundary
inferred← citeshttps://doi.org/10.1142/s0218202525500307openalex-snapshot
Boundedness and asymptotic behavior in a two-dimensional parabolic–elliptic–elliptic Keller–Segel–Navier–Stokes system with indirect signal production
inferred← citeshttps://doi.org/10.1142/s0218202526500399openalex-snapshot
Global existence and finite-time blowup in a 2D no-flux-Dirichlet Keller-Segel system with matrix-valued sensitivity
inferred← citeshttps://doi.org/10.1155/2022/8573835openalex-snapshot
Blow-Up Solution in Logarithmic Sensitivity and Indirect Signal Generation Keller–Segel System
inferred← citeshttps://doi.org/10.1186/s13661-016-0687-3openalex-snapshot
Global large-data generalized solutions in a two-dimensional chemotaxis-Stokes system with singular sensitivity
inferred← citeshttps://doi.org/10.1186/s13661-022-01618-wopenalex-snapshot
Optimal time-decay rates of the Keller–Segel system coupled to compressible Navier–Stokes equation in three dimensions
inferred← citeshttps://doi.org/10.1186/s13661-022-01622-0openalex-snapshot
Small-convection limit for two-dimensional chemotaxis-Navier–Stokes system with logarithmic sensitivity and logistic-type source
inferred← citeshttps://doi.org/10.12677/aam.2024.132071openalex-snapshot
Study on a Chemotaxis-Fluid Model with Dirichlet Signal Boundary
inferred← citeshttps://doi.org/10.12677/pm.2025.153098openalex-snapshot
Study on the Fast Signal Diffusion Limit in Chemotaxis Model with Matrix-Valued Sensitivity
inferred← citeshttps://doi.org/10.1515/anona-2020-0158openalex-snapshot
Global solvability in a three-dimensional Keller-Segel-Stokes system involving arbitrary superlinear logistic degradation
inferred← citeshttps://doi.org/10.2139/ssrn.6659875openalex-snapshot
Keller--Segel--Navier--Stokes systems involving general sensitivities with Signal-Dependent Power-Law Decay
inferred← citeshttps://doi.org/10.3390/fractalfract7030209openalex-snapshot
A Fractional Chemotaxis Navier–Stokes System with Matrix-Valued Sensitivities and Attractive–Repulsive Signals
inferred← citeshttps://doi.org/10.3390/math12081143openalex-snapshot
Boundedness of Solutions for an Attraction–Repulsion Model with Indirect Signal Production
inferred← citeshttps://doi.org/10.3934/cpaa.2020170openalex-snapshot
Global boundedness of solutions to a chemotaxis-fluid system with singular sensitivity and logistic source
inferred← citeshttps://doi.org/10.3934/cpaa.2021184openalex-snapshot
Global well-posedness in a chemotaxis system with oxygen consumption
inferred← citeshttps://doi.org/10.3934/cpaa.2022139openalex-snapshot
An optimal result for global classical and bounded solutions in a two-dimensional Keller-Segel-Navier-Stokes system with saturated sensitivity
inferred← citeshttps://doi.org/10.3934/dcds.2018150openalex-snapshot
Global classical solution and stability to a coupled chemotaxis-fluid model with logistic source
inferred← citeshttps://doi.org/10.3934/dcds.2022047openalex-snapshot
Boundedness and stabilization of a three-dimensional parabolic-elliptic Keller-Segel-Stokes system
inferred← citeshttps://doi.org/10.3934/dcds.2025061openalex-snapshot
Global existence and regularity in a three-dimensional Keller-Segel-Navier-Stokes system with indirect signal production
inferred← citeshttps://doi.org/10.3934/dcdsb.2018209openalex-snapshot
Boundedness in a three-dimensional Keller-Segel-Stokes system involving tensor-valued sensitivity with saturation
inferred← citeshttps://doi.org/10.3934/dcdsb.2020068openalex-snapshot
Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization
inferred← citeshttps://doi.org/10.3934/dcdsb.2020120openalex-snapshot
Global mass-preserving solutions for a two-dimensional chemotaxis system with rotational flux components coupled with a full Navier–Stokes equation
inferred← citeshttps://doi.org/10.3934/dcdsb.2022036openalex-snapshot
Approaching constant steady states in a Keller-Segel-Stokes system with subquadratic logistic growth
inferred← citeshttps://doi.org/10.3934/dcdsb.2023025openalex-snapshot
Small-density solutions to Keller-Segel-Navier-Stokes system with rapidly decaying diffusivities
inferred← citeshttps://doi.org/10.3934/dcdsb.2025047openalex-snapshot
Retraction: A new result for global solvability to a two-dimensional Keller-Segel(-Navier)-Stokes system with indirect signal production “The status of this article has been Retraction: Discrete and Continuous Dynamical Systems - B, 30 (2025), 4135-4135, doi: 10.3934/dcdsb.2025094”
inferred← citeshttps://doi.org/10.3934/dcdsb.2026138openalex-snapshot
Uniform boundedness and smallness properties for an sis epidemic model with flux-limited chemotaxis and standard incidence
inferred← citeshttps://doi.org/10.3934/eect.2026083openalex-snapshot
Convergence rates of solutions for a chemotaxis system with nonlinear diffusion and logistic source
inferred← citeshttps://doi.org/10.3934/math.2022403openalex-snapshot
Global existence of classical solutions for the 2D chemotaxis-fluid system with logistic source
inferred← citeshttps://doi.org/10.3934/math.2023912openalex-snapshot
Global existence and boundedness of chemotaxis-fluid equations to the coupled Solow-Swan model
inferred← citeshttps://doi.org/10.4208/csiam-am.so-2021-0041openalex-snapshot
Boundedness and Asymptotic Behavior in a 3D Keller-Segel-Stokes System Modeling Coral Fertilization with Nonlinear Diffusion and Rotation
inferred← citeshttps://doi.org/10.4310/cms.2020.v18.n2.a5openalex-snapshot
Optimal critical mass for the two-dimensional Keller–Segel model with rotational flux terms
inferred← citeshttps://doi.org/10.48550/arxiv.1602.00665openalex-snapshot
Long-term behaviour in a chemotaxis-fluid system with logistic source
inferred← citeshttps://doi.org/10.48550/arxiv.1701.01334openalex-snapshot
A new approach toward locally bounded global solutions to a $3D$ chemotaxis-stokes system with nonlinear diffusion and rotation
inferred← citeshttps://doi.org/10.48550/arxiv.1706.02022openalex-snapshot
Global existence to a $3D$ chemotaxis-Navier-stokes system with nonlinear diffusion and rotation
inferred← citeshttps://doi.org/10.48550/arxiv.1806.07067openalex-snapshot
An optimal result for global existence and boundedness in a three-dimensional Keller-Segel(-Navier)-Stokes system (involving a tensor-valued sensitivity with saturation)
inferred← citeshttps://doi.org/10.48550/arxiv.1903.01033openalex-snapshot
An optimal result for global classical and bounded solutions in a two-dimensional Keller-Segel-Navier-Stokes system with sensitivity
inferred← citeshttps://doi.org/10.48550/arxiv.1903.07536openalex-snapshot
Blow-up prevention by nonlinear diffusion in a 2D Keller-Segel-Navier-Stokes system with rotational flux
inferred← citeshttps://doi.org/10.48550/arxiv.1905.08647openalex-snapshot
Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization
inferred← citeshttps://doi.org/10.48550/arxiv.1907.11823openalex-snapshot
A new result for the global existence (and boundedness), regularity and stabilization of a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization
inferred← citeshttps://doi.org/10.48550/arxiv.1912.00926openalex-snapshot
Global existence, smooth and stabilization in a three-dimensional Keller-Segel-Navier-Stokes system with rotational flux
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