Finite Time Blow Up for a 1D Model of 2D Boussinesq System

被引：0
|
作者：
Kyudong Choi
Alexander Kiselev
Yao Yao
机构：
[1] University of Wisconsin,Department of Mathematics
[2] Rice University,Department of Mathematics
来源：
Communications in Mathematical Physics | 2015年 / 334卷
关键词：
Vorticity; Euler Equation; Boussinesq Equation; Global Regularity; Global Classical Solution;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The 2D conservative Boussinesq system describes inviscid, incompressible, buoyant fluid flow in a gravity field. The possibility of finite time blow up for solutions of this system is a classical problem of mathematical hydrodynamics. We consider a 1D model of the 2D Boussinesq system motivated by a particular finite time blow up scenario. We prove that finite time blow up is possible for the solutions to the model system.
引用
收藏
页码：1667 / 1679
页数：12
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