Inviscid limit for 2D stochastic Navier-Stokes equations

被引：8

作者：

Cipriano, Fernanda ^{[1
,2
]}

Torrecilla, Ivan ^{[3
]}

机构：

[1] Univ Nova Lisboa, Grp Fis Matemat, P-1649003 Lisbon, Portugal

[2] Univ Nova Lisboa, Dept Matemat FCT, P-1649003 Lisbon, Portugal

[3] Univ Lisbon, Grp Fis Matemat, Inst Invest Interdisciplinar, P-1649003 Lisbon, Portugal

来源：

STOCHASTIC PROCESSES AND THEIR APPLICATIONS | 2015年 / 125卷 / 06期

关键词：

Stochastic Navier-Stokes equations; Stochastic Euler equations; Navier slip boundary conditions; Vanishing viscosity; Boundary layer; Turbulence; VANISHING VISCOSITY LIMIT; BOUNDARY-CONDITIONS; LARGE DEVIATIONS; EULER; CONSTRUCTION; EIGENVALUES; ROUGHNESS; FLOW;

D O I：

10.1016/j.spa.2015.01.005

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：

We consider stochastic Navier-Stokes equations in a 2D-bounded domain with the Navier with friction boundary condition. We establish the existence and the uniqueness of the solutions and study the vanishing viscosity limit. More precisely, we prove that solutions of stochastic Navier Stokes equations converge, as the viscosity goes to zero, to solutions of the corresponding stochastic Euler equations. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：2405 / 2426

页数：22

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