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.
Asymptotic convergence results for a system of partial differential equations with hysteresis / Eleuteri, Michela; Krejčí, Pavel. - ELETTRONICO. - (2006), pp. 1-14.
Asymptotic convergence results for a system of partial differential equations with hysteresis
Eleuteri, Michela;
2006-01-01
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.File in questo prodotto:
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