The inviscid limit for the incompressible stationary magnetohydrodynamics equations in three dimensions

被引：3

作者：

Yan, Weiping ^{[1
]}

Radulescu, Vicentiu D. ^{[2
,3
]}

机构：

[1] Guangxi Univ, Coll Math & Informat Sci, Nanning 530004, Peoples R China

[2] AGH Univ Sci & Technol, Fac Appl Math, PL-30059 Krakow, Poland

[3] Univ Craiova, Dept Math, Craiova 200585, Romania

来源：

BULLETIN OF MATHEMATICAL SCIENCES | 2022年 / 12卷 / 01期

基金：

中国国家自然科学基金;

关键词：

MHD equations; Euler equations; zero viscosity limit; NAVIER-STOKES EQUATIONS; VANISHING VISCOSITY LIMIT; RESISTIVE MHD EQUATIONS; GLOBAL SMALL SOLUTIONS; LOCAL EXISTENCE; ANALYTIC SOLUTIONS; BOUNDARY-LAYERS; WELL-POSEDNESS; HALF-SPACE; SYSTEM;

D O I：

10.1142/S1664360721500065

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with the zero-viscosity limit of the three-dimensional (3D) incompressible stationary magnetohydrodynamics (MHD) equations in the 3D unbounded domain Omega := R+ x R-2. The main result of this paper establishes that the solution of 3D incompressible stationary MHD equations converges to the solution of the 3D incompressible stationary Euler equations as the viscosity coefficient goes to zero.

引用

页数：37

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