A uniqueness result for a parabolic partial differential equation with hysteresis and convection is established. This equation is a part of a model system which describes the magnetohydrodynamic (MHD) flow of a conducting fluid between two ferromagnetic plates. The result of this paper complements the content of [6], where existence of the solution has been proved under fairly general assumptions on the hysteresis operator and the uniqueness was obtained only for a restricted class of hysteresis operators © 2008 IOP Publishing Ltd.
On a parabolic equation with hysteresis and convection: A uniqueness result / Eleuteri, Michela; Kopfová, J.. - In: JOURNAL OF PHYSICS. CONFERENCE SERIES. - ISSN 1742-6588. - 138:(2008), pp. 1-12. [10.1088/1742-6596/138/1/012005]
On a parabolic equation with hysteresis and convection: A uniqueness result
ELEUTERI, Michela;
2008
Abstract
A uniqueness result for a parabolic partial differential equation with hysteresis and convection is established. This equation is a part of a model system which describes the magnetohydrodynamic (MHD) flow of a conducting fluid between two ferromagnetic plates. The result of this paper complements the content of [6], where existence of the solution has been proved under fairly general assumptions on the hysteresis operator and the uniqueness was obtained only for a restricted class of hysteresis operators © 2008 IOP Publishing Ltd.
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