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.

引用

页码：715 / 728

页数：14

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