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