Magnetohydrodynamic Flow with Hysteresis

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2009 Czech Republic, Germany, Italy English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Mathematical Analysis, volume 41, pages 435-464 (issn: 0036-1410, eissn: 1095-7154,

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Authors: Michela Eleuteri; Jana Kopfová; Pavel Krejcí;

doi: 10.1137/080718383 , 10.20347/wias.preprint.1319

handle: 11104/0172725 , 11380/1083292

Magnetohydrodynamic Flow with Hysteresis

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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.

Preprint: Weierstraß-Institut für Angewandte Analysis und Stochastik, vol. 1319

Countries

Czech Republic, Germany, Italy

Related Organizations

Weierstrass Institute for Applied Analysis and Stochastics
Germany
Academy of Sciences Library
Czech Republic
Weierstrass Institute
Germany
Leibniz Association
Germany
University of Modena and Reggio Emilia
Italy

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Keywords

ddc:510, article, Preisach hysteresis operator -- magnetohydrodynamics, Preisach hysteresis operator, 35K60, 510, Magnetohydrodynamics; Preisach hysteresis operator; Analysis; Applied Mathematics; Computational Mathematics, 76W05, magnetohydrodynamics, 47J40

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