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.
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页码：115 / 137
页数：23
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