Magnetohydrodynamic flow with hysteresis

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Date
2008
Volume
1319
Issue
Journal
Series Titel
Book Title
Publisher
Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
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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.

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Keywords
Preisach hysteresis operator, magnetohydrodynamics
Citation
Eleuteri, M., Kopfová, J., & Krejčí, P. (2008). Magnetohydrodynamic flow with hysteresis (Vol. 1319). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.
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