SINGULAR LIMIT OF THE EQUATIONS OF MAGNETOHYDRODYNAMICS IN THE PRESENCE OF STRONG STRATIFICATION-Reference-Cited by-同舟云学术

SINGULAR LIMIT OF THE EQUATIONS OF MAGNETOHYDRODYNAMICS IN THE PRESENCE OF STRONG STRATIFICATION

Published:2011-01 Issue:01 Volume:21 Page:115-147
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

NOVOTNÝ ANTONÍN¹,RŮŽIČKA MICHAEL²,THÄTER GUDRUN³

Affiliation:

1. Université du Sud Toulon-Var, BP 132, F-83957 La Garde, France

2. Mathematisches Institut, Universität Freiburg, Eckerstr. 1, D-79104 Freiburg, Germany

3. Karlsruhe Institute of Technology, Fakultät für Mathematik, D-76128 Karlsruhe, Germany

Abstract

We consider a low Mach, Péclet, Froude and Alfvén number limit in the complete Navier–Stokes–Fourier system coupled with Maxwell's equations for gases with large specific heat at constant volume. The target system is shown to be the anelastic Oberbeck–Boussinesq system coupled with Maxwell's equations. The proof allows an intrinsic view into the process of separation of fast oscillating acoustic waves, governed by a Lighthill-type equation, from the equations describing the slow fluid flows.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202511005003

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