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.
Well-posedness results for a class of partial differential equations with hysteresis arising in electromagnetism / Eleuteri, Michela. - In: NONLINEAR ANALYSIS: REAL WORLD APPLICATIONS. - ISSN 1468-1218. - 8:5(2007), pp. 1494-1511. [10.1016/j.nonrwa.2006.08.002]
Well-posedness results for a class of partial differential equations with hysteresis arising in electromagnetism
ELEUTERI, Michela
2007
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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