Local existence and uniqueness of strong solutions to 3-D stochastic Navier-Stokes equations

被引：24

作者：

Capinski, Marek ^{[1
]}

Peszat, Szymon ^{[2
]}

机构：

[1] Jagiellonian Univ, Inst Math, PL-30059 Krakow, Poland

[2] Polish Acad Sci, Inst Math, PL-31027 Krakow, Poland

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 1997年 / 4卷 / 02期

基金：

英国工程与自然科学研究理事会;

关键词：

Bounded Domain; Strong Solution; Random Time; Local Existence; Random Time Interval;

D O I：

10.1007/PL00001415

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For stochastic Navier Stokes equations in a 3-dimensional bounded domain we first show that if the initial value is sufficiently regular, then martingale solutions are strong on a random time interval and we estimate its length. Then we prove the uniqueness of the strong solution in the class of all martingale solutions.

引用

页码：185 / 200

页数：16

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