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

页码：227 / 244

页数：18

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