Local solutions for stochastic Navier stokes equations

被引：25

作者：

Bensoussan, A

Frehse, J

机构：

[1] Univ Paris 09, F-75001 Paris, France

[2] CNES, F-75001 Paris, France

[3] Univ Bonn, Inst Angew Math, D-5300 Bonn, Germany

来源：

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 2000年 / 34卷 / 02期

关键词：

Navier Stokes equations; stochastic equations; abstract parabolic equations; Ito integral; local solution; Ito equation; Stokes operator; Functional equation; Mild solution; Random time;

D O I：

10.1051/m2an:2000140

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we consider local solutions for stochastic Navier Stokes equations, based on the approach of Von Wahl, for the deterministic case. We present several approaches of the concept, depending on the smoothness available. When smoothness is available, Ive can in someway reduce the stochastic equation to a deterministic one with a random parameter. In the general case, Ne mimic the concept of local solution for stochastic differential equations.

引用

页码：241 / 273

页数：33

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