On the dissipative solutions for the inviscid Boussinesq equations

被引：1
作者：
Cheng, Feng [1 ]
机构：
[1] Hubei Univ, Fac Math & Stat, Hubei Key Lab Appl Math, Wuhan 430062, Peoples R China
来源：
AIMS MATHEMATICS | 2020年 / 5卷 / 04期
关键词：
Boussinesq equations; dissipative solution; weak solution; WEAK SOLUTIONS; ENERGY-CONSERVATION; ONSAGERS CONJECTURE; EULER;
D O I：
10.3934/math.2020184
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the dissipative solutions for the inviscid Boussinesq equations. It is shown that there is at least one dissipative solution for the inviscid incompressible Boussinesq equations. Moreover, if there is an unique strong solution then the dissipative solutions must coincide with the strong solution.
引用
收藏
页码：2869 / 2876
页数：8
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