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
收藏
页码：220 / 238
页数：19
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