WIAS Preprint No. 1319, (2008)

Magnetohydrodynamic flow with hysteresis



Authors

  • Eleuteri, Michela
  • Kopfová, Jana
  • Krejčí, Pavel

2010 Mathematics Subject Classification

  • 76W05 47J40 35K60

Keywords

  • Preisach hysteresis operator, magnetohydrodynamics

Abstract

We consider a model system describing the 2D flow of a conducting fluid surrounded by a ferromagnetic solid under the influence of the hysteretic response of the surrounding medium. We assume that this influence can be represented by the Preisach hysteresis operator. Existence and uniqueness of solutions for the resulting system of PDEs with hysteresis nonlinearities is established in the convexity domain of the Preisach operator.

Appeared in

  • SIAM J. Math. Anal., 41 (2009) pp. 435--464.

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