Existence and uniqueness of weak solution to a three-dimensional stochastic modified-Leray-alpha model of fluid turbulence

被引：3

作者：

Selmi, Ridha ^{[1
,2
,3
]}

Nasfi, Rim ^{[3
]}

机构：

[1] Northern Border Univ, Coll Sci, POB 1631, Ar Ar 91431, Saudi Arabia

[2] Univ Gabes, Fac Sci, Dept Math, Gabes 6072, Tunisia

[3] Univ Tunis El Manar, Fac Sci, Dept Math, PDEs Lab, Tunis 2092, Tunisia

来源：

MODERN STOCHASTICS-THEORY AND APPLICATIONS | 2021年 / 8卷 / 01期

关键词：

Stochastic modified-Leray-alpha model; existence; uniqueness; weak probabilistic solution;

D O I：

10.15559/21-VMSTA175

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this paper, we study the stochastic three-dimensional modified Leray-alpha model arising from the turbulent flows of fluids. We prove the existence of the probabilistic weak solution under the non-Lipschitz condition for the nonlinear forcing terms. We also discuss its uniqueness.

引用

页码：115 / 137

页数：23

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