Asymptotic convergence results for a system of partial differential equations with hysteresis

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Date
2007
Volume
1199
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Journal
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Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
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Abstract

A partial differential equation motivated by electromagnetic field equations in ferromagnetic media is considered with a relaxed rate dependent constitutive relation. It is shown that the solutions converge to the unique solution of the limit parabolic problem with a rate independent Preisach hysteresis constitutive operator as the relaxation parameter tends to zero.

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Eleuteri, M., & Krejčí, P. (2007). Asymptotic convergence results for a system of partial differential equations with hysteresis (Vol. 1199). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.
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