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On the inviscid and non-resistive limit for the equations of incompressible magnetohydrodynamics

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Díaz Díaz, Jesús Ildefonso and Lerena Guil, María Belén (2002) On the inviscid and non-resistive limit for the equations of incompressible magnetohydrodynamics. Mathematical Models and Methods in Applied Sciences , 12 (10). pp. 1401-1419. ISSN 0218-2025

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Abstract

We prove the convergence of the solutions for the incompressible homogeneous magnetohydrodynamics (MHD) system to the solutions to ideal MHD one in the inviscid and non-resistive limit, detailing the explicit convergence rates. For this study we consider a fluid occupying the whole space R3 and we assume that the viscosity effects in this fluid can be described by two different operators: the usual Laplacian operator affected by the inverse of the Reynolds number or by a viscosity operator introduced by S. I. Braginskii in 1965.


Item Type:Article
Uncontrolled Keywords:Incompressible viscous and ideal magnetohydrodynamics, Non-resistive limit, Braginski viscosity operator
Subjects:Sciences > Mathematics > Differential equations
ID Code:12229
Deposited On:14 Feb 2011 09:01
Last Modified:11 Nov 2013 14:12

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