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Description
  • A parabolic equation in two or three space variables with a Preisach hysteresis operator and with homogeneous Neumann boundary conditions is shown to admit a unique global regular solution. A detailed investigation of the Preisach memory dynamics shows that the system converges to an equilibrium in the state space of all admissible Preisach memory configurations as time tends to infinity.
  • A parabolic equation in two or three space variables with a Preisach hysteresis operator and with homogeneous Neumann boundary conditions is shown to admit a unique global regular solution. A detailed investigation of the Preisach memory dynamics shows that the system converges to an equilibrium in the state space of all admissible Preisach memory configurations as time tends to infinity. (en)
  • Pro parabolickou rovnici ve dvou nebo třech prostorových proměnných s Preisachovým hysterezním operátorem a s homogenní Neumannovou okrajovou podmínkou je dokázána existence jediného globálního řešení. Detailní rozbor dynamiky preisachovské paměti ukazuje, že systém konverguje pro čas jdoucí do nekonečna k některému rovnovážnému stavu v prostoru přípustných pamětˇových konfigurací. (cs)
Title
  • Asymptotic behaviour of a Neumann parabolic problem with hysteresis
  • Asymptotické chování Neumannovy parabolické úlohy s hysterezí (cs)
  • Asymptotic behaviour of a Neumann parabolic problem with hysteresis (en)
skos:prefLabel
  • Asymptotic behaviour of a Neumann parabolic problem with hysteresis
  • Asymptotické chování Neumannovy parabolické úlohy s hysterezí (cs)
  • Asymptotic behaviour of a Neumann parabolic problem with hysteresis (en)
skos:notation
  • RIV/67985840:_____/07:00322206!RIV09-AV0-67985840
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika
  • 4
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 410941
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  • RIV/67985840:_____/07:00322206
http://linked.open...riv/jazykVysledku
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  • parabolic equation; hysteresis; asymptotic behaviour of solutions (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV
  • [411AC8CB18B0]
http://linked.open...i/riv/nazevZdroje
  • ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik
http://linked.open...in/vavai/riv/obor
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http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 87
http://linked.open...iv/tvurceVysledku
  • Krejčí, Pavel
  • Eleuteri, M.
http://linked.open...ain/vavai/riv/wos
  • 000246194100001
http://linked.open...n/vavai/riv/zamer
issn
  • 0044-2267
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