Well-posedness of linearized Taylor equations in magnetohydrodynamics
Analysis of PDEs
2016-05-12 v1
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.
Keywords
Cite
@article{arxiv.1605.03457,
title = {Well-posedness of linearized Taylor equations in magnetohydrodynamics},
author = {Isabelle Gallagher and David Gerard-Varet},
journal= {arXiv preprint arXiv:1605.03457},
year = {2016}
}