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

被引：0

作者：

Marek Capiński

Szymon Peszat

机构：

[1] Institute of Mathematics,

[2] Jagiellonian University,undefined

[3] Reymonta 4,undefined

[4] 30-059 Kraków,undefined

[5] Poland,undefined

[6] e-mail: capinski@im.uj.edu.pl,undefined

[7] Institute of Mathematics,undefined

[8] Polish Academy of Sciences,undefined

[9] Św. Tomasza 30/7,undefined

[10] 31-027 Kraków,undefined

[11] Poland,undefined

[12] e-mail: peszat@uci.agh.edu.pl,undefined

来源：

Nonlinear Differential Equations and Applications NoDEA | 1997年 / 4卷

关键词：

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

D O I：

暂无

中图分类号：

学科分类号：

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：15