Global solvability and eventual smoothness in a chemotaxis-fluid system with weak logistic-type degradation (Q5127159)

scientific article; zbMATH DE number 7263751

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English	Global solvability and eventual smoothness in a chemotaxis-fluid system with weak logistic-type degradation	scientific article; zbMATH DE number 7263751

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instance of

scholarly article

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title

Global solvability and eventual smoothness in a chemotaxis-fluid system with weak logistic-type degradation (English)

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publication date

21 October 2020

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zbMATH Keywords

chemotaxis

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logistic source

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weak degradation

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eventual smoothness

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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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From a multiscale derivation of nonlinear cross-diffusion models to Keller-Segel models in a Navier-Stokes fluid

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

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The Stokes limit in a three-dimensional chemotaxis-Navier-Stokes system

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Global Existence and Temporal Decay in Keller-Segel Models Coupled to Fluid Equations

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Q5794855

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Global Solutions to the Coupled Chemotaxis-Fluid Equations

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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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Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains

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Geometric theory of semilinear parabolic equations

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Q4398321

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Chemotaxis effect vs. logistic damping on boundedness in the 2-D minimal Keller-Segel model

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Q5562267

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Eventual smoothness and asymptotics in a three-dimensional chemotaxis system with logistic source

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

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Global existence, boundedness and stabilization in a high-dimensional chemotaxis system with consumption

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Analytic Inequalities

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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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Exponential attractor for a chemotaxis-growth system of equations

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Q2743226

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Boundedness in a chemotaxis model with oxygen consumption by bacteria

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Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant

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Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis-fluid system

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Blow-up prevention by quadratic degradation in a two-dimensional Keller-Segel-Navier-Stokes system

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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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Very weak global solutions to a parabolic-parabolic chemotaxis-system with logistic source

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Weak solutions for a bioconvection model related to Bacillus subtilis

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The small-convection limit in a two-dimensional chemotaxis-Navier-Stokes system

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Chemotaxis with logistic source: very weak global solutions and their boundedness properties

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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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Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system

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

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

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The role of superlinear damping in the construction of solutions to drift-diffusion problems with initial data in \(L^{1}\)

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Boundedness and global existence in the higher-dimensional parabolic -- parabolic chemotaxis system with/without growth source

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Global weak solutions for the three-dimensional chemotaxis-Navier-Stokes system with nonlinear diffusion

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Convergence rates of solutions for a two-dimensional chemotaxis-Navier-Stokes system

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Global Well-Posedness for the Two-Dimensional Incompressible Chemotaxis-Navier--Stokes Equations

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full work available at URL

https://doi.org/10.1142/s0218202520400102

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published in

M\(^3\)AS. Mathematical Models \& Methods in Applied Sciences

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Identifiers

zbMATH Open document ID

1451.92065

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DOI

10.1142/S0218202520400102

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5127159