Stochastic Navier-Stokes Equations: Analysis of the Noise to Have a Unique Invariant Measure

被引：27

作者：

Ferrario, Benedetta ^{[1
]}

机构：

[1] Dipartimento Matemat F Casorati, I-27100 Pavia, Italy

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 1999年 / 177卷 / 01期

关键词：

Invariant Measure; Dirichlet Boundary Condition; Deterministic Equation; Stokes Operator; Markovian Semigroup;

D O I：

10.1007/BF02505916

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In [6], it has been proven that there exists a unique invariant measure for the 2D Navier-Stokes equations perturbed by a white noise term; this is the probability measure representing the asymptotic behavior. There, the assumptions on the noise were quite restrictive. In this paper we remove the heaviest limitation, that is the lower bound on the range of the noise covariance, providing a complete analysis of sufficient conditions for the existence of a unique invariant measure.

引用

页码：331 / 347

页数：17

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