MARTINGALE AND STATIONARY SOLUTIONS FOR STOCHASTIC NAVIER-STOKES EQUATIONS

被引：460

作者：

FLANDOLI, F ^{[1
]}

GATAREK, D ^{[1
]}

机构：

[1] POLISH ACAD SCI,SYST RES INST,PL-01447 WARSAW,POLAND

来源：

PROBABILITY THEORY AND RELATED FIELDS | 1995年 / 102卷 / 03期

关键词：

D O I：

10.1007/BF01192467

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We prove the existence of martingale solutions and of stationary solutions of stochastic Navier-Stokes equations under very general hypotheses on the diffusion term. The stationary martingale solutions yield the existence of invariant measures, when the transition semigroup is well defined. The results are obtained by a new method of compactness.

引用

页码：367 / 391

页数：25

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