On the inviscid Boussinesq system with rough initial data

被引：18

作者：

Hassainia, Zineb ^{[1
]}

Hmidi, Taoufik ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 430卷 / 02期

关键词：

2D inviscid Boussinesq system; Vortex patches; Local well-posedness; GLOBAL WELL-POSEDNESS; BLOW-UP CRITERION; EULER EQUATIONS; LOCAL EXISTENCE; VORTEX PATCH;

D O I：

10.1016/j.jmaa.2015.04.087

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We deal with the local well-posedness theory for the two-dimensional inviscid Boussinesq system with rough initial data of Yudovich type. The problem is in some sense critical due to some terms involving Riesz transforms in the vorticity-density formulation. We give a positive answer for a special sub-class of Yudovich data including smooth and singular vortex patches. For the latter case we assume in addition that the initial density is constant around the singular part of the patch boundary. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：777 / 809

页数：33

共 39 条

[1] On the global well-posedness for Boussinesq system [J].