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Article Contents

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

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

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