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Boundedness and large time behavior in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity

https://doi.org/10.1007/s00526-015-0922-2
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Outgoing claims: the papers this work cites, builds on, or argues with.

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What points at this work

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

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A New Result for Global Solvability of Keller-Segel-Navier-Stokes System with Nonlinear Diffusion and Matrix-Valued Sensitivities in Three Dimensions
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Global existence and boundedness of classical solutions for a chemotaxis model with consumption of chemoattractant and logistic source
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Boundedness in a higher-dimensional chemotaxis system with porous medium diffusion and general sensitivity
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Global weak solutions for an attraction‐repulsion system with nonlinear diffusion
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Global existence and asymptotic behavior of classical solutions for a 3D two‐species chemotaxis‐Stokes system with competitive kinetics
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A Keller‐Segel‐fluid system with singular sensitivity: Generalized solutions
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Global existence and boundedness in a chemotaxis‐Stokes system with arbitrary porous medium diffusion
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Global weak solutions and eventual smoothness in a 3D two‐competing‐species chemotaxis‐Navier‐Stokes system with two consumed signals
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A Sharp Global Boundedness Result for Keller–Segel–(Navier–)Stokes Systems with Rapid Diffusion and Saturated Sensitivities
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Global existence and boundedness for a multidimensional parabolic–elliptic Keller–Segel–(Navier–)Stokes system
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Global existence of weak solutions to a quasilinear chemotaxis system with consumption of chemoattractant
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Global existence in a 3D chemotaxis-Stokes system with signal-dependent motion
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Global boundedness for three-dimensional Keller–Segel–Stokes system modeling indirect signal production with nonlinear diffusion
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Boundedness for a 3D chemotaxis–Stokes system with porous medium diffusion and tensor-valued chemotactic sensitivity
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Global existence and boundedness in a 3D Keller–Segel–Stokes system with nonlinear diffusion and rotational flux
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Large time periodic solutions to coupled chemotaxis-fluid models
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How strongly does diffusion or logistic-type degradation affect existence of global weak solutions in a chemotaxis–Navier–Stokes system?
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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
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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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On the Existence of Solutions for a Three-Dimensional Keller–Segel–Navier–Stokes System with Indirect Signal Production
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Asymptotic behavior of a quasilinear Keller–Segel system with signal-suppressed motility
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Eventual smoothness and stabilization in a three-dimensional Keller–Segel–Navier–Stokes system with rotational flux
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Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation
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Global Bounded Solution in a Chemotaxis-Stokes Model with Porous Medium Diffusion and Singular Sensitivity
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Global Existence of Weak Solution for the 2D Chemotaxis-Navier-Stokes Equations with Arbitrary Porous Medium Diffusion
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Asymptotic stabilization in a two-dimensional singular chemotaxis-Navier-Stokes system with indirect signal consumption
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Global Boundedness and Stabilization in a Two-Competing-Species Chemotaxis-Fluid System with Two Chemicals
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Ill-Posedness Issue on a Multidimensional Chemotaxis Equations in the Critical Besov Spaces
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Stability in a Two-dimensional Keller-Segel-Navier-Stokes System
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Finite-Time Blow-Up in a 2D Keller-Segel System with Spatially Dependent Rotational Flux
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Global Existence of Large Solutions for the 3D Coupled Chemotaxis–Fluid Equations
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Global classical solutions for a two-dimensional four-component chemotaxis-Navier–Stokes system with logarithmic sensitivity
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Global bounded weak solutions to a degenerate quasilinear attraction–repulsion chemotaxis system with rotation
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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.2017.06.034openalex-snapshot
Boundedness and global solvability to a chemotaxis model with nonlinear diffusion
inferred← citeshttps://doi.org/10.1016/j.jde.2018.01.004openalex-snapshot
Blow-up for a three dimensional Keller–Segel model with consumption of chemoattractant
inferred← citeshttps://doi.org/10.1016/j.jde.2018.01.007openalex-snapshot
Uniqueness of solutions for Keller–Segel system of porous medium type coupled to fluid equations
inferred← citeshttps://doi.org/10.1016/j.jde.2018.01.027openalex-snapshot
Global existence and stabilization in a degenerate chemotaxis-Stokes system with mildly strong diffusion enhancement
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
inferred← citeshttps://doi.org/10.1016/j.jde.2018.05.002openalex-snapshot
Global existence and large time behavior for a two-dimensional chemotaxis–shallow water system
inferred← citeshttps://doi.org/10.1016/j.jde.2019.01.027openalex-snapshot
The small-convection limit in a two-dimensional Keller–Segel–Navier–Stokes system
inferred← citeshttps://doi.org/10.1016/j.jde.2019.02.007openalex-snapshot
Global existence and convergence rates to a chemotaxis-fluids system with mixed boundary conditions
inferred← citeshttps://doi.org/10.1016/j.jde.2019.03.013openalex-snapshot
An optimal result for global existence and boundedness in a three-dimensional Keller-Segel-Stokes system with nonlinear diffusion
inferred← citeshttps://doi.org/10.1016/j.jde.2019.06.021openalex-snapshot
Global classical solutions in a Keller-Segel(-Navier)-Stokes system modeling coral fertilization
inferred← citeshttps://doi.org/10.1016/j.jde.2019.08.013openalex-snapshot
On a chemotaxis model with degenerate diffusion: Initial shrinking, eventual smoothness and expanding
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
inferred← citeshttps://doi.org/10.1016/j.jde.2019.12.002openalex-snapshot
A 3D self-consistent chemotaxis-fluid system with nonlinear diffusion
inferred← citeshttps://doi.org/10.1016/j.jde.2020.01.031openalex-snapshot
Global solutions to a 3D chemotaxis-Stokes system with nonlinear cell diffusion and Robin signal boundary condition
inferred← citeshttps://doi.org/10.1016/j.jde.2020.04.039openalex-snapshot
Large time behavior in a three-dimensional degenerate chemotaxis-Stokes system modeling coral fertilization
inferred← citeshttps://doi.org/10.1016/j.jde.2020.06.041openalex-snapshot
Global solutions for chemotaxis-Navier-Stokes system with Robin boundary conditions
inferred← citeshttps://doi.org/10.1016/j.jde.2020.08.021openalex-snapshot
Long-term behaviour in a parabolic–elliptic chemotaxis–consumption model
inferred← citeshttps://doi.org/10.1016/j.jde.2020.09.029openalex-snapshot
A new result for the global existence (and boundedness) and regularity of a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization
inferred← citeshttps://doi.org/10.1016/j.jde.2020.11.033openalex-snapshot
Global solutions and large time behavior for the chemotaxis-shallow water system
inferred← citeshttps://doi.org/10.1016/j.jde.2021.02.004openalex-snapshot
Conditional estimates in three-dimensional chemotaxis-Stokes systems and application to a Keller-Segel-fluid model accounting for gradient-dependent flux limitation
inferred← citeshttps://doi.org/10.1016/j.jde.2021.03.049openalex-snapshot
Global bounded weak solutions and asymptotic behavior to a chemotaxis-Stokes model with non-Newtonian filtration slow diffusion
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.2022.01.033openalex-snapshot
Saturation of the signal on the boundary: Global weak solvability in a chemotaxis-Stokes system with porous-media type cell diffusion
inferred← citeshttps://doi.org/10.1016/j.jde.2022.06.010openalex-snapshot
Local and global existence of solutions of a Keller-Segel model coupled to the incompressible fluid equations
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.2022.07.002openalex-snapshot
Global existence and boundedness in an N-dimensional chemotaxis-Navier-Stokes system with nonlinear diffusion and rotation
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.2023.05.042openalex-snapshot
Global solvability in a two-dimensional singular chemotaxis-fluid system with indirect signal production or consumption
inferred← citeshttps://doi.org/10.1016/j.jde.2023.06.028openalex-snapshot
Boundedness and weak stabilization in a degenerate chemotaxis model arising from tumor invasion
inferred← citeshttps://doi.org/10.1016/j.jde.2024.12.045openalex-snapshot
Blow-up prevention by subquadratic and quadratic degradations in a three-dimensional Keller–Segel–Stokes system with indirect signal production
inferred← citeshttps://doi.org/10.1016/j.jde.2025.01.071openalex-snapshot
A new result for global solvability of a Keller-Segel-Navier-Stokes system with nonlinear diffusion and matrix-valued sensitivities in three dimensions
inferred← citeshttps://doi.org/10.1016/j.jde.2025.113555openalex-snapshot
Very mild diffusion enhancement and singular sensitivity: Existence of bounded weak solutions in a two-dimensional chemotaxis-Navier–Stokes system
inferred← citeshttps://doi.org/10.1016/j.jde.2025.113991openalex-snapshot
Global well-posedness to a parabolic-degenerate angiogenesis system
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.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.2024.110337openalex-snapshot
Global martingale weak solutions for the three-dimensional stochastic chemotaxis-Navier-Stokes system with Lévy processes
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.2018.06.001openalex-snapshot
Global solutions in a quasilinear parabolic–parabolic chemotaxis system with decaying diffusivity and consumption of a chemoattractant
inferred← citeshttps://doi.org/10.1016/j.jmaa.2019.05.027openalex-snapshot
Large time behavior of solutions to a chemotaxis model with porous medium diffusion
inferred← citeshttps://doi.org/10.1016/j.jmaa.2019.123376openalex-snapshot
Finite-time blow-up in quasilinear parabolic-elliptic chemotaxis system with nonlinear signal production
inferred← citeshttps://doi.org/10.1016/j.jmaa.2019.123615openalex-snapshot
Global solvability and large-time behavior to a three-dimensional chemotaxis-Stokes system modeling coral fertilization
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.2021.125299openalex-snapshot
Global classical solutions in a chemotaxis(-Navier)-Stokes system with indirect signal production
inferred← citeshttps://doi.org/10.1016/j.jmaa.2021.125538openalex-snapshot
Large time behavior in a chemotaxis-Stokes system modeling coral fertilization with arbitrarily slow porous medium diffusion
inferred← citeshttps://doi.org/10.1016/j.jmaa.2021.125545openalex-snapshot
Boundedness of weak solutions in a 3D chemotaxis-Stokes system with nonlinear doubly degenerate diffusion
inferred← citeshttps://doi.org/10.1016/j.jmaa.2023.127595openalex-snapshot
Global bounded weak solutions in a two-dimensional Keller-Segel-Navier-Stokes system with indirect signal production and nonlinear diffusion
inferred← citeshttps://doi.org/10.1016/j.jmaa.2023.127820openalex-snapshot
Finite-time blow-up of weak solutions to a chemotaxis system with gradient dependent chemotactic sensitivity
inferred← citeshttps://doi.org/10.1016/j.jmaa.2024.128545openalex-snapshot
Global classical solvability and stabilization in a two-dimensional chemotaxis-Navier-Stokes system involving Dirichlet boundary conditions for the signal
inferred← citeshttps://doi.org/10.1016/j.jmaa.2024.128921openalex-snapshot
Global existence in a two-dimensional chemotaxis-(Navier)-Stokes system with sub-logarithmic sensitivity
inferred← citeshttps://doi.org/10.1016/j.jmaa.2025.129426openalex-snapshot
Global existence for a three-species predator-prey model with slow p-Laplacian diffusion
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.matpur.2019.12.009openalex-snapshot
2D stochastic Chemotaxis-Navier-Stokes system
inferred← citeshttps://doi.org/10.1016/j.na.2018.10.003openalex-snapshot
Global solvability of chemotaxis–fluid systems with nonlinear diffusion and matrix-valued sensitivities in three dimensions
inferred← citeshttps://doi.org/10.1016/j.na.2019.06.005openalex-snapshot
Existence results for chemotaxis-shallow water system with degenerate viscosity coefficients and initial vacuum
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.2017.11.004openalex-snapshot
Global classical solution to a chemotaxis consumption model with singular sensitivity
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.2018.06.005openalex-snapshot
Global weak solutions for the three-dimensional chemotaxis-Navier–Stokes system with slow p -Laplacian diffusion
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2018.09.020openalex-snapshot
Global existence of bounded solutions for a quasilinear chemotaxis system with logistic source
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2019.04.014openalex-snapshot
Global boundedness of weak solution in an attraction–repulsion chemotaxis system with p -Laplacian diffusion
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2020.103163openalex-snapshot
Global weak solutions for a 3D chemotaxis–Stokes system with slow p-Laplacian diffusion and rotation
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2021.103374openalex-snapshot
Global well-posedness to a chemotaxis-Stokes system
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/10.1016/j.nonrwa.2022.103543openalex-snapshot
Global weak solutions in a three-dimensional coral fertilization model involving the Navier–Stokes equations and arbitrary porous medium type diffusion
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2023.103898openalex-snapshot
Global weak solution for a chemotaxis Navier–Stokes system with p -Laplacian diffusion and singular sensitivity
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2023.103906openalex-snapshot
Boundedness of solutions to a 2D chemotaxis-Navier–Stokes system with general sensitivity and nonlinear diffusion
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2023.103996openalex-snapshot
Global bounded weak solution for a 3D chemotaxis-Stokes system with slow p -Laplacian diffusion and rotation
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2024.104129openalex-snapshot
Long time asymptotics of small mass solutions for a chemotaxis-consumption system involving prescribed signal concentrations on the boundary
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2024.104164openalex-snapshot
Boundedness of weak solutions to a 3D chemotaxis-Stokes system with slow p− Laplacian diffusion and rotation
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2024.104247openalex-snapshot
Global bounded solution in an attraction repulsion Chemotaxis-Navier-Stokes system with Neumann and Dirichlet boundary conditions
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2025.104339openalex-snapshot
Global existence in a three-dimensional chemotaxis-Stokes system with p -Laplacian diffusion and singular sensitivity
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2025.104415openalex-snapshot
Global boundedness in a two-dimensional chemotaxis-Navier–Stokes system with double chemical signals and nonlinear diffusion
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2026.104606openalex-snapshot
Global existence of weak solutions to a quasilinear parabolic chemotaxis system
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2026.104628openalex-snapshot
Some progress on global solvability and boundedness of solutions for taxis-dominated May-Nowak type system with virus infection and nonlinear diffusion kinetics
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2026.104766openalex-snapshot
Leray-type partial regularity of weak solutions for a chemotaxis-fluid system with porous medium diffusion
inferred← citeshttps://doi.org/10.1017/prm.2019.62openalex-snapshot
Periodic pattern formation in the coupled chemotaxis-(Navier–)Stokes system with mixed nonhomogeneous boundary conditions
inferred← citeshttps://doi.org/10.1017/prm.2024.54openalex-snapshot
Global boundedness and large time behaviour in a higher-dimensional quasilinear chemotaxis system with consumption of chemoattractant
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/10.1051/cocv/2021055openalex-snapshot
An optimal control problem related to a 3D-chemotaxis-Navier-Stokes model
inferred← citeshttps://doi.org/10.1063/1.4947107openalex-snapshot
Existence of global solutions for a chemotaxis-fluid system with nonlinear diffusion
inferred← citeshttps://doi.org/10.1063/1.4974245openalex-snapshot
Global existence and asymptotic behavior to a chemotaxis system with consumption of chemoattractant in higher dimensions
inferred← citeshttps://doi.org/10.1063/5.0049141openalex-snapshot
Bounded weak and strong time periodic solutions to a three-dimensional chemotaxis-Stokes model with porous medium diffusion
inferred← citeshttps://doi.org/10.1063/5.0145255openalex-snapshot
Global asymptotic stability in a two-dimensional chemotaxis model arising from tumor invasion
inferred← citeshttps://doi.org/10.1063/5.0160030openalex-snapshot
Global pathwise weak solution for two-dimensional stochastic Keller-Segel(-Navier)-Stokes system with logistic source
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/10.1080/00036811.2017.1286645openalex-snapshot
Boundedness in a quasilinear chemotaxis model with consumption of chemoattractant and logistic source
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