Asymptotic behavior of a Neumann parabolic problem with hysteresis
- Eleuteri, Michela
- Krejčí, Pavel
2010 Mathematics Subject Classification
- 35K55 47J40 35B40
- Parabolic equation, hysteresis, asymptotic behavior of solutions, Preisach model
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.
- ZAMM Z. Angew. Math. Mech., 87 (2007) pp. 261--277.