The Martingale Problem for Markov Solutions to the Navier-Stokes Equations

被引：0
|
作者：
Romito, Marco [1 ]
机构：
[1] Univ Florence, Dipartimento Matemat, I-50134 Florence, Italy
来源：
SEMINAR ON STOCHASTIC ANALYSIS, RANDOM FIELDS AND APPLICATIONS VI | 2011年 / 63卷
关键词：
Stochastic Navier-Stokes equations; martingale problem; Markov property; Markov solutions; strong Feller property; well-posedness; invariant measures; ERGODICITY; SELECTIONS; REGULARITY; 2D;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Under suitable assumptions of regularity and non-degeneracy on the covariance of the driving additive noise, any Markov solution to the stochastic Navier-Stokes equations has an associated generator of the diffusion and is the unique solution to the corresponding martingale problem. Some elementary examples are discussed to interpret these results.
引用
收藏
页码：227 / 244
页数：18
相关论文
共 50 条
12345