GLOBAL EXISTENCE OF MARTINGALE SOLUTIONS TO THE THREE-DIMENSIONAL STOCHASTIC COMPRESSIBLE NAVIER-STOKES EQUATIONS

被引：0
作者：
Wang, Dehua [1 ]
Wang, Huaqiao [1 ]
机构：
[1] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA
来源：
DIFFERENTIAL AND INTEGRAL EQUATIONS | 2015年 / 28卷 / 11-12期
基金：
中国国家自然科学基金; 美国国家科学基金会;
关键词：
WEAK SOLUTIONS; ERGODICITY; UNIQUENESS; DRIVEN; 2D; LAWS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The stochastic three-dimensional compressible Navier-Stokes equations are considered in a bounded domain with multiplicative noise. The global existence of martingale solution is established through the Galerkin approximation method, stopping time, compactness method and the Jakubowski-Skorokhod theorem. A martingale solution is a weak solution for the fluid variables and the Brownian motion on a probability space. The initial data is arbitrarily large and satisfies a natural compatibility condition.
引用
收藏
页码：1105 / 1154
页数：50
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