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

被引：36

作者：

Debussche, A

Odasso, C

机构：

[1] IRMAR, F-35170 Bruz, France

[2] Ecole Normale Super, F-35170 Bruz, France

来源：

JOURNAL OF EVOLUTION EQUATIONS | 2006年 / 6卷 / 02期

关键词：

stochastic Navier-Stokes equations; Markov solutions; invariant measure; ergodicity;

D O I：

10.1007/s00028-006-0254-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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：20

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