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.
Asymptotic behaviour of a Neumann parabolic problem with hysteresis / Eleuteri, Michela; Krejci, Pavel. - ELETTRONICO. - (2006), pp. 1-23.
Asymptotic behaviour of a Neumann parabolic problem with hysteresis
Eleuteri, Michela;
2006-01-01
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.File in questo prodotto:
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