APPROXIMATIONS OF STOCHASTIC 3D TAMED NAVIER-STOKES EQUATIONS

被引：2
|
作者：
Peng, Xuhui [1 ]
Zhang, Rangrang [2 ]
机构：
[1] Hunan Normal Univ, MOE LCSM, Sch Math & Stat, Changsha 410081, Hunan, Peoples R China
[2] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2020年 / 19卷 / 12期
关键词：
3D tamed Navier-Stokes equations; strong solution; Gaussian noise; Poisson random measure; approximations; UNIQUENESS; EXISTENCE; DRIVEN;
D O I：
10.3934/cpaa.2020241
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we are concerned with 3D tamed Navier-Stokes equations with periodic boundary conditions, which can be viewed as an approximation of the classical 3D Navier-Stokes equations. We show that the strong solution of 3D tamed Navier-Stokes equations driven by Poisson random measure converges weakly to the strong solution of 3D tamed Navier-Stokes equations driven by Gaussian noise on the state space D([0, T]; H-1).
引用
收藏
页码：5337 / 5365
页数：29
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