ON THE INVISCID AND NON-RESISTIVE LIMIT FOR THE EQUATIONS OF INCOMPRESSIBLE MAGNETOHYDRODYNAMICS-Reference-Cited by-同舟云学术

ON THE INVISCID AND NON-RESISTIVE LIMIT FOR THE EQUATIONS OF INCOMPRESSIBLE MAGNETOHYDRODYNAMICS

Published:2002-10 Issue:10 Volume:12 Page:1401-1419
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

DÍAZ J. I.¹,LERENA M. B.²

Affiliation:

1. Dept. Matemática Aplicada, Fac. CC. Matemáticas, Universidad Complutense de Madrid, 28040 Madrid, Spain

2. Dept. Análisis Económico, Economía Cuantitativa, Fac. CC. Económicas y Empresariales, Universidad Autónoma de Madrid, 28049, Madrid, Spain

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202502002173

Reference14 articles.

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2. Inéquations en thermoélasticité et magnétohydrodynamique

3. Quasi-linear equations of evolution, with applications to partial differential equations

4. Nonstationary flows of viscous and ideal fluids in R3

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