Strong Solutions of the Stochastic Navier-Stokes Equations in R3

被引：0

作者：

Kim, Jong Uhn ^{[1
]}

机构：

[1] Virginia Tech, Dept Math, Blacksburg, VA 24061 USA

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2010年 / 59卷 / 05期

关键词：

stochastic Navier-Stokes equations; strong solutions; global solutions;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish the existence of local strong solutions to the stochastic Navier-Stokes equations in R-3. When the noise is multiplicative and non-degenerate, we show the existence of global solutions in probability if the initial data are sufficiently small. Our results are extension of the well-known results for the deterministic Navier-Stokes equations in R-3.

引用

页码：1853 / 1886

页数：34

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