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Amplitude Equations for Weakly Nonlinear Surface Waves in Variational Problems Read chapter Read first chapter

2017 | OriginalPaper | Chapter

Wellposedness of Linearized Taylor Equations in Magnetohydrodynamics

Authors : Isabelle Gallagher, David Gérard-Varet

Published in: Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics

Publisher: Springer International Publishing

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Abstract

This paper is a first step in the study of the so-called Taylor model, introduced by J.B. Taylor in Taylor, Proc R Soc A 274(1357):274–283, 1963. This system of nonlinear PDE’s is derived from the viscous incompressible MHD equations, through an asymptotics relevant to the Earth’s magnetic field. We consider here a simple class of linearizations of the Taylor model, for which we show well-posedness.

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previous chapter A Few Remarks on Hyperbolic Systems with Zygmund in Time Coefficients
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Metadata
Title
Wellposedness of Linearized Taylor Equations in Magnetohydrodynamics
Authors
Isabelle Gallagher
David Gérard-Varet
Copyright Year
2017
Book
Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics

Print ISBN: 978-3-319-52041-4

Electronic ISBN: 978-3-319-52042-1

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-3-319-52042-1_5

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