On a class of partial differential equations with hysteresis arising in magnetohydrodynamics

Eleuteri, Michela (2006) On a class of partial differential equations with hysteresis arising in magnetohydrodynamics. UNSPECIFIED. (Unpublished)

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    Abstract

    In this paper we deal with a class of parabolic partial differential equations containing a continuous hysteresis operator. We get an existence result by means of a technique based on an implicit time discretization scheme and we also analyse the dependence of the solution on the data. This model equation appears in the context of magnetohydrodynamics.

    Item Type: Departmental Technical Report
    Department or Research center: Mathematics
    Subjects: Q Science > QA Mathematics > QA374.7 Partial differential equations
    Uncontrolled Keywords: partial differential equations, hysteresis, Preisach operator, magnetohydrodynamics.
    Additional Information: Classification: 35K55, 47J40, 76W05
    Report Number: UTM 703, October 2006
    Repository staff approval on: 20 Oct 2006

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