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The essential spectrum of an operator arising in 2-dimensional magneto-hydrodynamics

✍ Scribed by M. Faierman; R. Mennicken

Publisher: John Wiley and Sons
Year: 2009
Tongue: English
Weight: 132 KB
Volume: 282
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200810745

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✦ Synopsis

Abstract

Descloux and Geymonat considered a model problem for a plasma in a toroidal configuration and conjectured that the essential spectrum has an explicitly given band structure. This conjecture was recently proved by Faierman, Mennicken, and Möller by employing an operator matrix representation of the problem. In this paper we discuss the behaviour of the essential spectrum under a perturbation of the original problem (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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## Abstract Descloux and Geymonat considered a model problem for plasma in a toroidal configuration and conjectured that the essential spectrum has an explicitly given band structure. Here we prove this conjecture by employing an operator matrix representation of the problem. (© 2004 WILEY‐VCH Verl