An asymptotic convergence result for a system of partial differential equations with hysteresis

Michela Eleuteri; Pavel Krejčí

doi:10.3934/cpaa.2007.6.1131

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2007, Volume 6, Issue 4: 1131-1143. Doi: 10.3934/cpaa.2007.6.1131

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An asymptotic convergence result for a system of partial differential equations with hysteresis

Michela Eleuteri^1, and
Pavel Krejčí^2,

1.
Università degli Studi di Trento, Dipartimento di Matematica, Via Sommarive 14, I–38050 Povo (Trento)
2.
Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstrasse 39, D–10117 Berlin

Received: October 2006

Revised: March 2007

Published: December 2007

Abstract / Introduction Related Papers Cited by

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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Mathematics Subject Classification: 35K55, 47J40, 35B40.

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