Well-posedness results for a class of partial differential equations with hysteresis arising in electromagnetism |
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Authors: | Michela Eleuteri |
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Institution: | aUniversità degli Studi di Trento, Dipartimento di Matematica, Via Sommarive 14, I-38050 Povo, Trento, Italy |
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Abstract: | We consider an evolutionary PDE motivated by models for electromagnetic processes in ferromagnetic materials. Magnetic hysteresis is represented by means of a hysteresis operator. Under suitable assumptions, an existence and uniqueness theorem is obtained, together with the Lipschitz continuous dependence on the data and some further regularity results. The discussion of the behaviour of the solution in dependence on physical parameters of the problem is also outlined. |
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Keywords: | Partial differential equations Hysteresis Electromagnetic processes |
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