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 behavior of a Neumann parabolic problem with hysteresis / Eleuteri, Michela; Krejčí, Pavel. - In: ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK. - ISSN 0044-2267. - 87:4(2007), pp. 261-277. [10.1002/zamm.200610299]
Asymptotic behavior of a Neumann parabolic problem with hysteresis
ELEUTERI, Michela;
2007
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
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