Global well-posedness for a multidimensional chemotaxis model in critical Besov spaces

被引：46

作者：

Hao, Chengchun ^{[1
,2
]}

机构：

[1] Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China

[2] Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2012年 / 63卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Chemotaxis model; Cauchy problem; Global well-posedness; Critical Besov spaces; HYPERBOLIC-PARABOLIC SYSTEM; NAVIER-STOKES EQUATIONS; REINFORCED RANDOM-WALKS; NONLINEAR STABILITY; TRAVELING-WAVES; EXISTENCE; AGGREGATION;

D O I：

10.1007/s00033-012-0193-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the Cauchy problem of a multidimensional chemotaxis model with initial data in critical Besov spaces. The global existence and uniqueness of the strong solution is shown for initial data close to a constant equilibrium state.

引用

页码：825 / 834

页数：10

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