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.
An asymptotic convergence result for a system of partial differential equations with hysteresis / Eleuteri, Michela; Krejčí, Pavel. - In: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. - ISSN 1534-0392. - 6:4(2007), pp. 1131-1143. [10.3934/cpaa.2007.6.1131]
An asymptotic convergence result for a system of partial differential equations with hysteresis
ELEUTERI, Michela;
2007
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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