Local existence and blow-up criterion of Holder continuous solutions of the Boussinesq equations

被引：98

作者：

Chae, D ^{[1
]}

Kim, SK ^{[1
]}

Nam, HS ^{[1
]}

机构：

[1] Seoul Natl Univ, Dept Math, Seoul 151742, South Korea

来源：

NAGOYA MATHEMATICAL JOURNAL | 1999年 / 155卷

关键词：

D O I：

10.1017/S0027763000006991

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove the local existence and uniqueness of C1+gamma solutions of the Boussinesq equations with initial data v(0), theta(0) epsilon C1+gamma, w(0), del theta(0) epsilon L-q for 0 < gamma < 1 and 1 < q < 2. We also obtain a blow-up criterion for this local solutions. More precisely we show that the gradient of the passive scalar theta controls the breakdown of C1+gamma solutions of the Boussinesq equations.

引用

页码：55 / 80

页数：26

共 7 条

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[2] REMARKS ON THE BREAKDOWN OF SMOOTH SOLUTIONS FOR THE 3-D EULER EQUATIONS [J].