Well posedness results for a class of partial differential equations with hysteresis arising in electromagnetism

Eleuteri, Michela (2006) Well posedness results for a class of partial differential equations with hysteresis arising in electromagnetism. UNSPECIFIED. (Unpublished)

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    Abstract

    We consider an evolutionary P.D.E. 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.

    Item Type: Departmental Technical Report
    Department or Research center: Mathematics
    Subjects: Q Science > QC Physics (General) > QC760 Electromagnetism
    Uncontrolled Keywords: partial differential equations, hysteresis, electromagnetic processes
    Report Number: UTM 700, July 2006
    Repository staff approval on: 25 Jul 2006

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