On the global existence for the axisymmetric Euler-Boussinesq system in critical Besov spaces

被引：8

作者：

Sulaiman, Samira ^{[1
]}

机构：

[1] Univ Rennes 1, IRMAR, F-35042 Rennes, France

来源：

ASYMPTOTIC ANALYSIS | 2012年 / 77卷 / 1-2期

关键词：

axisymmetric flows; critical Besov spaces; global well-posedness; WELL-POSEDNESS;

D O I：

10.3233/ASY-2011-1074

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the global existence and uniqueness results for the three-dimensional Boussinesq system with axisymmetric initial data upsilon(0) is an element of B-2,1(5/2)(R-3) and rho(0) is an element of B-2,1(1/2)(R-3) boolean AND L-p(R-3) with p > 6. This system couples the incompressible Euler equations with a transport-diffusion equation governing the density. In this case the Beale-Kato-Majda criterion (see [2]) is not known to be valid and to circumvent this difficulty we use in a crucial way some geometric properties of the vorticity.

引用

页码：89 / 121

页数：33

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