Open AccessThe inviscid limit for the incompressible stationary magnetohydrodynamics equations in three dimensions
Author(s) -
Weiping Yan,
Vicenţiu D. Rădulescu
Publication year - 2021
Publication title -
bulletin of mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.407
H-Index - 21
eISSN - 1664-3607
pISSN - 1664-3615
DOI - 10.1142/s1664360721500065
Subject(s) - inviscid flow , magnetohydrodynamics , compressibility , limit (mathematics) , euler equations , zero (linguistics) , physics , domain (mathematical analysis) , viscosity , mathematical analysis , euler's formula , mathematics , incompressible flow , pressure correction method , classical mechanics , mechanics , magnetic field , thermodynamics , linguistics , philosophy , quantum mechanics
This paper is concerned with the zero-viscosity limit of the three-dimensional (3D) incompressible stationary magnetohydrodynamics (MHD) equations in the 3D unbounded domain [Formula: see text]. 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.