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Tue, 17 Oct 2000 00:00:00 +0200Tue, 17 Oct 2000 00:00:00 +0200On the Mróz Model
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/711
We treat the mathematical properties of the one parameter version of the Mróz model for plastic flow. We present continuity results and an energy inequality for the hardening rule and discuss different versions of the flow rule regarding their relation to the second law of thermodynamics.Martin Brokate; K. Dressler; P. Krejcipreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/711Tue, 17 Oct 2000 00:00:00 +0200Global Behaviour of Solutions to the Wave Equations with Hysteresis
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/701
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.P. Krejcipreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/701Sun, 09 Jul 2000 00:00:00 +0200Asymptotic Stability of Periodic Solutions to the Wave Equations with Hysteresis
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/702
P. Krejcipreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/702Sun, 09 Jul 2000 00:00:00 +0200