Asymptotic behaviour of a Neumann parabolic problem with hysteresis

Eleuteri, Michela and Krejci, Pavel (2006) Asymptotic behaviour of a Neumann parabolic problem with hysteresis. UNSPECIFIED. (Unpublished)

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    Abstract

    A parabolic equation in two or three space variables with a Preisach hysteresis operator and with homogeneous Neumann boundary conditions is shown to admit a unique global regular solution. A detailed investigation of the Preisach memory dynamics shows that the system converges to an equilibrium in the state space of all admissible Preisach memory configurations as time tends to infinity.

    Item Type: Departmental Technical Report
    Department or Research center: Mathematics
    Subjects: Q Science > QA Mathematics > QA152 Algebra
    Uncontrolled Keywords: parabolic equation; hysteresis; asymptotic behavior of solutions; Preisach model
    Report Number: UTM 699, July 2006
    Repository staff approval on: 25 Jul 2006

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