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  • We study a nonlocal phase-field model for non-isothermal phase transitions. For the resulting system of integro-partial differential inclusions, we derive results concerning global existence, uniqueness and large-time asymptotic behaviour. The proof is based on transforming the system of inclusions into an equivalent system of equations with hysteresis and employing techniques involving hysteresis operators.
  • We study a nonlocal phase-field model for non-isothermal phase transitions. For the resulting system of integro-partial differential inclusions, we derive results concerning global existence, uniqueness and large-time asymptotic behaviour. The proof is based on transforming the system of inclusions into an equivalent system of equations with hysteresis and employing techniques involving hysteresis operators. (en)
  • Vyšetřujeme nelokální model fázového pole pro neizotermické fázové přechody. Pro výslednou soustavu parciálních integrodiferenciálních inkluzí odvodíme výsledky o globální existenci, jednoznačnosti a asymptotickém chování řešení. Důkaz je založen na převedení soustavy inkluzí na ekvivalentní soustavu rovnic s hysterezí a užití metod hysterezních operátorů. (cs)
Title
  • Nonlocal phase-field models for non-isothermal phase transitions and hysteresis
  • Nonlocal phase-field models for non-isothermal phase transitions and hysteresis (en)
  • Nelokální modely fázového pole pro neizotermické fázové přechody a hystereze (cs)
skos:prefLabel
  • Nonlocal phase-field models for non-isothermal phase transitions and hysteresis
  • Nonlocal phase-field models for non-isothermal phase transitions and hysteresis (en)
  • Nelokální modely fázového pole pro neizotermické fázové přechody a hystereze (cs)
skos:notation
  • RIV/67985840:_____/04:00324462!RIV09-AV0-67985840
http://linked.open...avai/riv/aktivita
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  • Z(AV0Z1019905)
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  • 2
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  • 576407
http://linked.open...ai/riv/idVysledku
  • RIV/67985840:_____/04:00324462
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  • integro-partial differential inclusions; global existence; uniqueness (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • JP - Japonsko
http://linked.open...ontrolniKodProRIV
  • [2102941C1161]
http://linked.open...i/riv/nazevZdroje
  • Advances in Mathematical Sciences and Applications
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
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http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 14
http://linked.open...iv/tvurceVysledku
  • Krejčí, Pavel
  • Sprekels, J.
http://linked.open...n/vavai/riv/zamer
issn
  • 1343-4373
number of pages
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