The tearing instability of resistive magnetohydrodynamics

MacTaggart, D. (2019) The tearing instability of resistive magnetohydrodynamics. In: MacTaggart, D. and Hillier, A. (eds.) Topics in Magnetohydrodynamic Topology, Reconnection and Stability Theory. Series: CISM International Centre for Mechanical Sciences: courses and lectures (591). Springer: Cham, pp. 37-67. ISBN 9783030163426 (doi: 10.1007/978-3-030-16343-3_2)

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Abstract

In this chapter we explore the linear onset of one of the most important instabilities of resistive magnetohydrodynamics, the tearing instability. In particular, we focus on two important aspects of the onset of tearing: asymptotic (modal) stability and transient (non-modal) stability. We discuss the theory required to understand these two aspects of stability, both of which have undergone significant development in recent years.

Item Type:Book Sections
Status:Published
Glasgow Author(s) Enlighten ID:Mactaggart, Dr David
Authors: MacTaggart, D.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Publisher:Springer
ISBN:9783030163426
Published Online:20 July 2019
Copyright Holders:Copyright © 2020 CISM International Centre for Mechanical Sciences
First Published:First published in Topics in Magnetohydrodynamic Topology, Reconnection and Stability Theory: 37-67
Publisher Policy:Reproduced in accordance with the publisher copyright policy

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