Global wellposedness of an inviscid 2D Boussinesq system with nonlinear thermal diffusivity

被引：43

作者：

Li, Dong ^{[1
]}

Xu, Xiaojing ^{[2
,3
]}

机构：

[1] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada

[2] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China

[3] Minist Educ, Lab Math & Complex Syst, Beijing 100875, Peoples R China

来源：

DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS | 2013年 / 10卷 / 03期

关键词：

Boussinesq system; global wellposedness; Sobolev spaces; WELL-POSEDNESS; REGULARITY; VISCOSITY; EQUATIONS;

D O I：

10.4310/DPDE.2013.v10.n3.a2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a two-dimensional inviscid Boussinesq system with temperature-dependent thermal diffusivity. We prove global wellposedness of strong solutions for arbitrarily large initial data in Sobolev spaces.

引用

页码：255 / 265

页数：11

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