Global Behaviour of Solutions to the Wave Equations with Hysteresis

  • The wave equation with a Preisach hysteresis operator can be considered as a one-dimensional projection of Maxwell" s equations in a ferromagnetic medium. An initial-boundary value problem for this equation is solved here with emphasizing the fact that under a bounded forcing term the solutions remain bounded. This is due to the strong dissipation of hysteresis energies. New proofs of hysteresis energy inequalities are given without referring to the structure of hysteresis memory.

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Author:P. Krejci
URN (permanent link):urn:nbn:de:hbz:386-kluedo-6703
Serie (Series number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (65)
Document Type:Preprint
Language of publication:English
Year of Completion:1991
Year of Publication:1991
Publishing Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):2000/07/09
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011