WIAS Preprint No. 1109, (2006)

Asymptotic behavior of a Neumann parabolic problem with hysteresis



Authors

  • Eleuteri, Michela
  • Krejčí, Pavel

2010 Mathematics Subject Classification

  • 35K55 47J40 35B40

Keywords

  • Parabolic equation, hysteresis, asymptotic behavior of solutions, Preisach model

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.

Appeared in

  • ZAMM Z. Angew. Math. Mech., 87 (2007) pp. 261--277.

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