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.
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页码：3941 / 3959
页数：19
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