Local Well-Posedness and Blow Up Criterion for the Inviscid Boussinesq System in Holder Spaces

被引：24

作者：

Cui Xiaona ^{[1
]}

Dou Changsheng ^{[2
]}

Jiu Quansen ^{[3
]}

机构：

[1] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China

[2] LCP, Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China

[3] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China

来源：

JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2012年 / 25卷 / 03期

关键词：

Inviscid Boussinesq system; local well-posedness; blow-up criterion;

D O I：

10.4208/jpde.v25.n3.3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the local in time existence and a blow up criterion of solution in the Holder spaces for the inviscid Boussinesq system in R-N,N >= 2, under the assumptions that the initial values theta(0),u(0) is an element of C-r, with 1 < r not equal 2.

引用

页码：220 / 238

页数：19

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