GLOBAL WELL-POSEDNESS AND LARGE-TIME BEHAVIOR OF A HYPERBOLIC-PARABOLIC MODEL IN AN EXTERIOR DOMAIN

被引：0

作者：

Zhong, H. U. A. ^{[1
]}

机构：

[1] Southwest Jiaotong Univ, Sch Math, Chengdu 611756, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2022年

关键词：

  hyperbolic-parabolic system; chemotaxis; exterior domain; global existence; large time behavior; CONSERVATION-LAWS; DIFFUSION LIMIT; SYSTEM; CHEMOTAXIS; STABILITY; EQUATIONS; DYNAMICS;

D O I：

10.3934/cpaa.2022129

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a hyperbolic-parabolic system derived from a limiting case of chemotaxis model in an exterior domain. By energy method we prove global existence for the initial-boundary value problem in an exterior domain when the initial data is a small perturbation around constant equilibrium s-tates, and the solutions converge to the states at an algebraic decay rate as time goes to infinity.

引用

页码：3941 / 3959

页数：19

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