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Description
  • A phase-field system, non-local in space and non-smooth in time, with heat flux proportional to the gradient of the inverse temperature, is shown to admit a unique strong thermodynamically consistent solution on the whole time axis. The temperature remains globally bounded both from above and from below, and its space gradient as well as the time derivative of the order parameter asymptotically vanish in L2-norm as time tends to infinity.
  • A phase-field system, non-local in space and non-smooth in time, with heat flux proportional to the gradient of the inverse temperature, is shown to admit a unique strong thermodynamically consistent solution on the whole time axis. The temperature remains globally bounded both from above and from below, and its space gradient as well as the time derivative of the order parameter asymptotically vanish in L2-norm as time tends to infinity. (en)
  • Pro systém fázového pole, nelokální v prostoru a nehladký v čase, je ukázána existence jediného silného termodynamicky konzistentního řešení na celé časové ose. Teplota zůstává globálně ohraničená shora i zdola a její prostorový gradient stejně jako časová derivace fázového parametru pro velké časy asymptoticky konvergují k nule v L2-normě. (cs)
Title
  • Long time behaviour of a singular phase transition model
  • Asymptotické chování singulárního modelu fázového přechodu (cs)
  • Long time behaviour of a singular phase transition model (en)
skos:prefLabel
  • Long time behaviour of a singular phase transition model
  • Asymptotické chování singulárního modelu fázového přechodu (cs)
  • Long time behaviour of a singular phase transition model (en)
skos:notation
  • RIV/67985840:_____/06:00324294!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
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 483594
http://linked.open...ai/riv/idVysledku
  • RIV/67985840:_____/06:00324294
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • phase transition; nonlocal model; integrodifferential heat equation (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [51417174FE02]
http://linked.open...i/riv/nazevZdroje
  • Discrete and Continuous Dynamical Systems
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 15
http://linked.open...iv/tvurceVysledku
  • Krejčí, Pavel
  • Sprekels, J.
http://linked.open...ain/vavai/riv/wos
  • 000236645300006
http://linked.open...n/vavai/riv/zamer
issn
  • 1078-0947
number of pages
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