Zero Viscosity Limit for Analytic Solutions of the Primitive Equations

2016 ◽  
Vol 222 (1) ◽  
pp. 15-45 ◽  
Author(s):  
Igor Kukavica ◽  
Maria Carmela Lombardo ◽  
Marco Sammartino
Keyword(s):  
Analytic Solutions ◽  
Primitive Equations ◽  
Zero Viscosity Limit ◽  
Viscosity Limit ◽  
Zero Viscosity

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

2021 ◽  
pp. 2150006
Author(s):  
Weiping Yan ◽  
Vicenţiu D. Rădulescu
Keyword(s):  
Unbounded Domain ◽  
Three Dimensional ◽  
Viscosity Coefficient ◽  
Three Dimensions ◽  
Mhd Equations ◽  
Inviscid Limit ◽  
Magnetohydrodynamics Equations ◽  
Zero Viscosity Limit ◽  
Viscosity Limit ◽  
Zero Viscosity

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.

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