On the Cauchy problem for the fractional drift- diffusion system in critical Besov spaces

被引：11

作者：

Zhao, Jihong ^{[1
]}

Liu, Qiao ^{[2
]}

机构：

[1] Northwest A&F Univ, Coll Sci, Yangling 712100, Shaanxi, Peoples R China

[2] Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China

来源：

APPLICABLE ANALYSIS | 2014年 / 93卷 / 07期

关键词：

fractional drift-diffusion system; Cauchy problem; mild solutions; Besov spaces; 35C06; 35R11; 76W05; NAVIER-STOKES EQUATIONS; NONLINEAR PARABOLIC EQUATIONS; LONG-TIME BEHAVIOR; KELLER-SEGEL MODEL; WELL-POSEDNESS; DEBYE SYSTEM; ASYMPTOTIC-BEHAVIOR; CARRIER TRANSPORT; BASIC EQUATIONS; EXISTENCE;

D O I：

10.1080/00036811.2013.833608

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish global well-posedness and asymptotic stability of mild solutions for the Cauchy problem of the fractional drift-diffusion system with small initial data in critical Besov spaces. The regularizing-decay rate estimates of mild solutions are also proved, which imply that mild solutions are analytic in space variables.

引用

页码：1431 / 1450

页数：20

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