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 (Unpublished)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