Asymptotic behavior of a Neumann parabolic problem with hysteresis
Asymptotic behavior of a Neumann parabolic problem with hysteresis
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.
- Leibniz Association Germany
- Weierstrass Institute for Applied Analysis and Stochastics Germany
- Weierstrass Institute Germany
ddc:510, Parabolic equation, Parabolic equation -- hysteresis -- asymptotic behavior of solutions -- Preisach model, hysteresis, 35K55, 35B40, article, asymptotic behavior of solutions, 47J40, 510, Preisach model
ddc:510, Parabolic equation, Parabolic equation -- hysteresis -- asymptotic behavior of solutions -- Preisach model, hysteresis, 35K55, 35B40, article, asymptotic behavior of solutions, 47J40, 510, Preisach model
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