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

被引：0
|
作者：
Xiaoyan Guan
Shaoli Wang
Ye Lv
Fuyi Xu
机构：
[1] State Key Laboratory of Simulation and Regulation of Water Cycle in a River Basin,School of Science
[2] National Center of Efficient Irrigation Engineering and Technology Research-Beijing,undefined
[3] Shandong University of Technology,undefined
来源：
Acta Applicandae Mathematicae | 2016年 / 143卷
关键词：
Besov spaces; Chemotaxis model; Convergence rates;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we are concerned with the Cauchy problem to the multi-dimensional (N≥4\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$N\geq4$\end{document}) 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.
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页码：91 / 104
页数：13
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