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Global existence of weak solution in a chemotaxis-fluid system with nonlinear diffusion and rotational flux

https://doi.org/10.3934/dcdsb.2019064

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What this work says

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

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Does a ‘volume-filling effect’ always prevent chemotactic collapse?

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Global solutions to Keller‐Segel‐Navier‐Stokes equations with a class of large initial data in critical Besov spaces

inferredcites →https://doi.org/10.1006/aama.2001.0721openalex-snapshot

Global Existence for a Parabolic Chemotaxis Model with Prevention of Overcrowding

inferredcites →https://doi.org/10.1007/s00021-018-0395-0openalex-snapshot

Does Fluid Interaction Affect Regularity in the Three-Dimensional Keller–Segel System with Saturated Sensitivity?

inferredcites →https://doi.org/10.1007/s00033-013-0383-4openalex-snapshot

Global boundedness of solutions to a two-species chemotaxis system

inferredcites →https://doi.org/10.1007/s00033-015-0532-zopenalex-snapshot

Boundedness in a quasilinear fully parabolic Keller–Segel system with logistic source

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/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/10.1016/0022-5193(70)90092-5openalex-snapshot

Initiation of slime mold aggregation viewed as an instability

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.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.2011.08.019openalex-snapshot

Boundedness in a quasilinear parabolic–parabolic Keller–Segel system with subcritical sensitivity

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.jde.2016.08.045openalex-snapshot

Global boundedness of solutions for the chemotaxis-Navier–Stokes system in R 2

inferredcites →https://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

inferredcites →https://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

inferredcites →https://doi.org/10.1016/j.jde.2017.07.015openalex-snapshot

Global existence and large time behavior for a two-dimensional chemotaxis-Navier–Stokes system

inferredcites →https://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

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.2014.03.084openalex-snapshot

Global existence and asymptotic properties of the solution to a two-species chemotaxis system

inferredcites →https://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

inferredcites →https://doi.org/10.1016/j.jmaa.2017.12.048openalex-snapshot

Global classical solutions to the Keller–Segel–Navier–Stokes system with matrix-valued sensitivity

inferredcites →https://doi.org/10.1016/j.matpur.2006.04.002openalex-snapshot

Volume effects in the Keller–Segel model: energy estimates preventing blow-up

inferredcites →https://doi.org/10.1016/j.na.2014.05.021openalex-snapshot

Finite-time blow-up in higher dimensional fully-parabolic chemotaxis system for two species

inferredcites →https://doi.org/10.1016/j.nonrwa.2016.11.006openalex-snapshot

Global existence of weak solutions for the 3D chemotaxis-Navier–Stokes equations

inferredcites →https://doi.org/10.1017/s0308210500004649openalex-snapshot

Long-time behaviour of solutions to a chemotaxis model with volume-filling effect

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/10.1088/0951-7715/27/8/1899openalex-snapshot

Global-in-time bounded weak solutions to a degenerate quasilinear Keller–Segel system with rotation

inferredcites →https://doi.org/10.1090/tran/6733openalex-snapshot

How far do chemotaxis-driven forces influence regularity in the Navier-Stokes system?

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/s021820251640008xopenalex-snapshot

Long-term behaviour in a chemotaxis-fluid system with logistic source

inferredcites →https://doi.org/10.1142/s0218202517500579openalex-snapshot

Global weak solutions in a three-dimensional Keller–Segel–Navier–Stokes system with subcritical sensitivity

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.2015.20.3165openalex-snapshot

Boundedness vs.blow-up in a two-species chemotaxis system with two chemicals

inferredcites →https://doi.org/10.3934/dcdsb.2015.20.3235openalex-snapshot

Global classical solutions of a 3D chemotaxis-Stokes system with rotation

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/10.1007/s00245-026-10475-3openalex-snapshot

On the Existence of Solutions for a Three-Dimensional Keller–Segel–Navier–Stokes System with Indirect Signal Production

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/10.1016/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.2022.06.015openalex-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.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/10.1515/ans-2022-0004openalex-snapshot

Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings

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/10.4208/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

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