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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Official URL: http://0-www.worldscinet.com.cisne.sim.ucm.es/m3as/mkt/archive.shtml

## 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 |
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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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