The Optimal Convergence Rates for the Multi-dimensional Chemotaxis Model in Critical Besov Spaces

被引：4

作者：

Guan, Xiaoyan ^{[1
,2
]}

Wang, Shaoli ^{[1
,2
]}

Lv, Ye ^{[1
,2
]}

Xu, Fuyi ^{[1
,3
]}

机构：

[1] State Key Lab Simulat & Regulat Water Cycle River, Beijing 100038, Peoples R China

[2] Natl Ctr Efficient Irrigat Engn & Technol Res Bei, Beijing 100048, Peoples R China

[3] Shandong Univ Technol, Sch Sci, Zibo 255049, Shandong, Peoples R China

来源：

ACTA APPLICANDAE MATHEMATICAE | 2016年 / 143卷 / 01期

基金：

中国博士后科学基金;

关键词：

Besov spaces; Chemotaxis model; Convergence rates; COMPRESSIBLE NAVIER-STOKES; WELL-POSEDNESS; EQUATIONS; SYSTEM; AGGREGATION; MOTION;

D O I：

10.1007/s10440-015-0031-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are concerned with the Cauchy problem to the multi-dimensional () chemotaxis model. We prove the optimal convergence rates of the strong solutions to the system for initial data close to a stable equilibrium state in critical Besov spaces. Our main ideas are based on the low-high frequency decomposition and the smooth effect of dissipative operator.

引用

页码：91 / 104

页数：14

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