On the global regularity of N-dimensional generalized Boussinesq system

被引：0

作者：

Kazuo Yamazaki

机构：

[1] Washington State University,Department of Mathematics

来源：

Applications of Mathematics | 2015年 / 60卷

关键词：

Boussinesq system; global regularity; regularity criteria; Besov space; 35B65; 35Q30; 35Q35; 35Q86; 76D0;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the N-dimensional Boussinesq system with dissipation and diffusion generalized in terms of fractional Laplacians. In particular, we show that given the critical dissipation, a solution pair remains smooth for all time even with zero diffusivity. In the supercritical case, we obtain component reduction results of regularity criteria and smallness conditions for the global regularity in dimensions two and three.

引用

页码：109 / 133

页数：24

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