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arXiv · 1605.03457

Well-posedness of linearized Taylor equations in magnetohydrodynamics

Isabelle Gallagher·David Gerard-Varet
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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 \cite{Taylor}. 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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Isabelle Gallagher, David Gerard-Varet. 2016-05-11. Well-posedness of linearized Taylor equations in magnetohydrodynamics. https://arxiv.org/abs/1605.03457

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