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Description
  • V článku uvažujeme počátečný a okrajový probém pro parabolickou rovnici s Preisachovým hysterézním operátorem. Rovnice je homogenizováná, t.j. uvažuje se posloupnost rovnic s prostorovo periodickými datami, pričemž prostorová perióda konverguje k nule. Vlastnosti hysterézních operátorů a koncept dvouškálové konvergence je použit na důkaz konvergence řešení. (cs)
  • In this paper we consider an initial boundary value parabolic problem with Preisach hysteresis. The equation is homogenized by considering a sequence of equations with spatially periodic data where the spatial period converges to $0$. Properties of hysteresis operators and the concept of two-scale convergence are used to show the convergence of the corresponding solutions to the solution of the homogenized problem.
  • In this paper we consider an initial boundary value parabolic problem with Preisach hysteresis. The equation is homogenized by considering a sequence of equations with spatially periodic data where the spatial period converges to $0$. Properties of hysteresis operators and the concept of two-scale convergence are used to show the convergence of the corresponding solutions to the solution of the homogenized problem. (en)
Title
  • A homogenization result for a parabolic equation with Preisach hysteresis
  • Homogenizace parabolické rovnice s Preisachovým operátorem (cs)
  • A homogenization result for a parabolic equation with Preisach hysteresis (en)
skos:prefLabel
  • A homogenization result for a parabolic equation with Preisach hysteresis
  • Homogenizace parabolické rovnice s Preisachovým operátorem (cs)
  • A homogenization result for a parabolic equation with Preisach hysteresis (en)
skos:notation
  • RIV/47813059:19610/07:#0000116!RIV07-MSM-19610___
http://linked.open.../vavai/riv/strany
  • 352-359
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM4781305904)
http://linked.open...iv/cisloPeriodika
  • 5
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 407912
http://linked.open...ai/riv/idVysledku
  • RIV/47813059:19610/07:#0000116
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • hysteresis; Preisach operator; two-scale convergence; parabolic equation (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV
  • [8C5A24FDCDFE]
http://linked.open...i/riv/nazevZdroje
  • Zeitschrift für Angewandte Mathematik und Mechanik
http://linked.open...in/vavai/riv/obor
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http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 87
http://linked.open...iv/tvurceVysledku
  • Kopfová, Jana
http://linked.open...n/vavai/riv/zamer
issn
  • 0044-2267
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  • 19610
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