Magnetohydrodynamic Flow with Hysteresis

نویسندگان

  • Michela Eleuteri
  • Jana Kopfová
  • Pavel Krejcí
چکیده

Abstract. We consider a model system describing the two-dimensional 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.

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عنوان ژورنال:
  • SIAM J. Math. Analysis

دوره 41  شماره 

صفحات  -

تاریخ انتشار 2009