EXISTENCE AND ERGODICITY FOR THE TWO-DIMENSIONAL STOCHASTIC BOUSSINESQ EQUATION

被引：0
|
作者：
Li, Yong [1 ]
Trenchea, Catalin [1 ]
机构：
[1] Univ Pittsburgh, Dept Math, 301 Thackeray Hall, Pittsburgh, PA 15260 USA
来源：
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING | 2018年 / 15卷 / 4-5期
关键词：
Stochastic Boussinesq equation; invariant measure; coupling; ergodicity; PRINCIPLE;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The existence of solutions to the Boussinesq system driven by random exterior forcing terms both in the velocity field and the temperature is proven using a semigroup approach. We also obtain the existence and uniqueness of an invariant measure via coupling methods.
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页码：715 / 728
页数：14
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