GLOBAL EXISTENCE AND BOUNDEDNESS FOR CHEMOTAXIS-NAVIER-STOKES SYSTEMS WITH POSITION-DEPENDENT SENSITIVITY IN 2D BOUNDED DOMAINS

被引：69

作者：

Ishida, Sachiko ^{[1
]}

机构：

[1] Tokyo Univ Sci, Dept Math, Shinjuku Ku, Tokyo 1628601, Japan

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2015年 / 35卷 / 08期

关键词：

Degenerate diffusion; global existence; chemotaxis; Navier-Stokes; KELLER-SEGEL SYSTEM; PARABOLIC-PARABOLIC TYPE; TIME BLOW-UP; FLUID MODEL; NONLINEAR DIFFUSION; EQUATIONS; FINITE;

D O I：

10.3934/dcds.2015.35.3463

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with degenerate chemotaxis-Navier-Stokes systems with position-dependent sensitivity on a two dimensional bounded domain. It is known that in the case without a position-dependent sensitivity function, Tao-Winkler (2012) constructed a globally bounded weak solution of a chemotaxis-Stokes system with any porous medium diffusion, and Winkler (2012, 2014) succeeded in proving global existence and stabilization of classical solutions to a chemotaxis-Navier-Stokes system with linear diffusion. The present work shows global existence and boundedness of weak solutions to a chemotaxis-Navier-Stokes system with position-dependent sensitivity for any porous medium diffusion.

引用

页码：3463 / 3482

页数：20

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