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  • 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.
  • 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. (en)
  • Dokážeme jednoznačnost řešení parabolické parciální diferenciální rovnice s hysterezí a konvekčním členem. Tato rovnice je částí modelového problému, který opisuje magnetohydrodynamický tok vodivé tekutiny mezi feromagnetickými deskami. Výsledek tohto článku doplňuje obsah [6], kde je dokázána existence řešení za poměrně obecných předpokladů na hysterezní operátor a jednoznačnost je dokázána jenom pro omezenou třídu hysterezních operátorů. (cs)
Title
  • On a parabolic equation with hysteresis and convection: a uniqueness result
  • On a parabolic equation with hysteresis and convection: a uniqueness result (en)
  • O parabolické rovnici s hysterezí a konvekčním členem: jednoznačnost řešení (cs)
skos:prefLabel
  • On a parabolic equation with hysteresis and convection: a uniqueness result
  • On a parabolic equation with hysteresis and convection: a uniqueness result (en)
  • O parabolické rovnici s hysterezí a konvekčním členem: jednoznačnost řešení (cs)
skos:notation
  • RIV/47813059:19610/08:#0000223!RIV09-MSM-19610___
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  • Z(MSM4781305904)
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  • 1
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  • 384533
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  • RIV/47813059:19610/08:#0000223
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  • hysteresis; uniqueness (en)
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  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [962D39FDCB7B]
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  • Journal of Physics: Conference Series
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  • 138
http://linked.open...iv/tvurceVysledku
  • Kopfová, Jana
  • Eleuteri, Michela
http://linked.open...n/vavai/riv/zamer
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  • 1742-6588
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  • 19610
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