Markov solutions for the 3D stochastic Navier–Stokes equations with state dependent noise

被引：0

作者：

Arnaud Debussche

Cyril Odasso

机构：

[1] IRMAR and Ecole Normale Supérieure de Cachan antenne de Bretagne,

来源：

Journal of Evolution Equations | 2006年 / 6卷

关键词：

35Q10; 60H15; 37L40; Stochastic Navier–Stokes equations; Markov solutions; invariant measure; ergodicity;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We construct a Markov family of solutions for the 3D Navier-Stokes equations perturbed by a non degenerate noise. We improve the result of [3] in two directions. We see that in fact not only a transition semigroup but a Markov family of solutions can be constructed. Moreover, we consider a state dependant noise. Another feature of this work is that we greatly simplify the proofs of [3].

引用

页码：305 / 324

页数：19

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