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Author: Eleuteri, Michela × End date: 2009 × Type: Report × Subject: hysteresis ×

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    Asymptotic behavior of a Neumann parabolic problem with hysteresis
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2006) Eleuteri, Michela; Krejčí, Pavel
    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.