Global classical solutions and stabilization in a two-dimensional parabolic-elliptic Keller-Segel-Stokes system (Q2050582)

scientific article; zbMATH DE number 7388753

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English	Global classical solutions and stabilization in a two-dimensional parabolic-elliptic Keller-Segel-Stokes system	scientific article; zbMATH DE number 7388753

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instance of

scholarly article

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title

Global classical solutions and stabilization in a two-dimensional parabolic-elliptic Keller-Segel-Stokes system (English)

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author

Jiashan Zheng

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published in

Journal of Mathematical Fluid Mechanics

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publication date

31 August 2021

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zbMATH Keywords

Navier-Stokes system

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Keller-Segel model

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global existence

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chemotaxis-fluid interaction

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s00021-021-00600-3

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cites work

Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues

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

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Finite-time blow-up in a quasilinear system of chemotaxis

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Optimal critical mass in the two dimensional Keller-Segel model in \(R^2\)

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A Note on Global Existence for the Chemotaxis–Stokes Model with Nonlinear Diffusion

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Reaction terms avoiding aggregation in slow fluids

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Global classical solvability and stabilization in a two-dimensional chemotaxis-Navier–Stokes system modeling coral fertilization

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Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: global existence and asymptotic behavior

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Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system

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Finite-time aggregation into a single point in a reaction - diffusion system

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A user's guide to PDE models for chemotaxis

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Boundedness vs. blow-up in a chemotaxis system

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Global existence and boundedness for chemotaxis-Navier-Stokes systems with position-dependent sensitivity in 2D bounded domains

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On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis

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An optimal result for global existence in a three-dimensional Keller-Segel-Navier-Stokes system involving tensor-valued sensitivity with saturation

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Initiation of slime mold aggregation viewed as an instability

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Suppression of chemotactic explosion by mixing

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Global boundedness of solutions for the chemotaxis-Navier-Stokes system in \(\mathbb{R}^2\)

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Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system involving a tensor-valued sensitivity with saturation

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COUPLED CHEMOTAXIS FLUID MODEL

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Blowup of nonradial solutions to parabolic-elliptic systems modeling chemotaxis in two-dimensional domains

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Exponential attractor for a chemotaxis-growth system of equations

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Q4659860

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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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Q2743226

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Global existence and boundedness in a Keller-Segel-Stokes model with arbitrary porous medium diffusion

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Locally bounded global solutions in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion

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A Chemotaxis System with Logistic Source

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Bacterial swimming and oxygen transport near contact lines

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

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Global classical solutions in a two-dimensional chemotaxis-Navier-Stokes system with subcritical sensitivity

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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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Global existence and boundedness in a Keller-Segel-Stokes system involving a tensor-valued sensitivity with saturation: the 3D case

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

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Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source

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Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops

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Stabilization in a two-dimensional chemotaxis-Navier-Stokes system

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

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Global weak solutions in a three-dimensional chemotaxis-Navier-Stokes system

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

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Global existence and stabilization in a degenerate chemotaxis-Stokes system with mildly strong diffusion enhancement

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Does fluid interaction affect regularity in the three-dimensional Keller-Segel system with saturated sensitivity?

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A three-dimensional Keller-Segel-Navier-Stokes system with logistic source: global weak solutions and asymptotic stabilization

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Boundedness in a two-dimensional Keller-Segel-Navier-Stokes system involving a rapidly diffusing repulsive signal

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Small-Mass Solutions in the Two-Dimensional Keller--Segel System Coupled to the Navier--Stokes Equations

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Boundedness of solutions to a quasilinear parabolic-elliptic Keller-Segel system with logistic source

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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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Blow-up prevention by nonlinear diffusion in a 2D Keller-Segel-Navier-Stokes system with rotational flux

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Identifiers

zbMATH Open document ID

1472.35058

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Mathematics Subject Classification ID

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10.1007/S00021-021-00600-3

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Sitelinks

Mathematics(1 entry)

mardi Publication:2050582