Boundedness in a 2D chemotaxis-Stokes system with general sensitivity and nonlinear diffusion-Reference-Cited by-同舟云学术

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Boundedness in a 2D chemotaxis-Stokes system with general sensitivity and nonlinear diffusion

Published:2018-08 Issue:4 Volume:76 Page:818-830
ISSN:0898-1221
Container-title:Computers & Mathematics with Applications
language:en
Short-container-title:Computers & Mathematics with Applications

Author:

Wang Yilong

Funder

Young scholars development fund of SWPU

Science and Technology Innovation Team of Education Department of Sichuan for Dynamical System and its Applications

Youth Science and Technology Innovation Team of SWPU for Nonlinear Systems

NNSF of China

Publisher

Elsevier BV

Subject

Computational Mathematics,Computational Theory and Mathematics,Modeling and Simulation

Reference48 articles.

1. The Navier–Stokes Equations: An Elementary Functional Analytic Approach;Sohr,2001

2. Bacterial swimming and oxygen transport near contact lines;Tuval;Proc. Natl. Acad. Sci. USA,2005

3. Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: Global existence and asymptotic behavior;Di Francesco;Discrete Contin. Dyn. Syst. A,2010

4. Towards a mathematical theory of Keller–Segel models of pattern formation in biological tissues;Bellomo;Math. Models Methods Appl. Sci.,2015

5. Global solutions to the coupled chemotaxis-fluid equations;Duan;Comm. Partial Differential Equations,2010

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1. Global boundedness and large time behaviour in a higher-dimensional quasilinear chemotaxis system with consumption of chemoattractant;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;2024-04-30

2. Boundedness of solutions to a 2D chemotaxis-Navier–Stokes system with general sensitivity and nonlinear diffusion;Nonlinear Analysis: Real World Applications;2023-10

3. Depleting the signal: Analysis of chemotaxis‐consumption models—A survey;Studies in Applied Mathematics;2023-08-02

4. Global existence and stabilization in a two-dimensional chemotaxis-Navier-Stokes system with consumption and production of chemosignals;Journal of Differential Equations;2023-05

5. Boundedness and Asymptotic Behavior in a 3D Keller-Segel-Stokes System Modeling Coral Fertilization with Nonlinear Diffusion and Rotation;CSIAM Transactions on Applied Mathematics;2022-06

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