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Description
  • The sharp interface limit of a diffuse interface theory of phase transitions is considered in static situations. The diffuse interface model is of the Allen–Cahn type with deformation, with a parameter measuring the width of the interface. Equilibrium states of a given elongation and a given interface width are considered and the asymptotics for the width tending to zero is determined. It is shown that to within the term of higher order than the width of the interface, the interface energy is proportional to the width where the coefficient is given by a new formula that involves the mechanical contribution to the total energy.
  • The sharp interface limit of a diffuse interface theory of phase transitions is considered in static situations. The diffuse interface model is of the Allen–Cahn type with deformation, with a parameter measuring the width of the interface. Equilibrium states of a given elongation and a given interface width are considered and the asymptotics for the width tending to zero is determined. It is shown that to within the term of higher order than the width of the interface, the interface energy is proportional to the width where the coefficient is given by a new formula that involves the mechanical contribution to the total energy. (en)
Title
  • The effective energy in the Allen-Cahn model with deformation
  • The effective energy in the Allen-Cahn model with deformation (en)
skos:prefLabel
  • The effective energy in the Allen-Cahn model with deformation
  • The effective energy in the Allen-Cahn model with deformation (en)
skos:notation
  • RIV/67985840:_____/11:00360202!RIV12-AV0-67985840
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
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  • Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika
  • 2
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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http://linked.open...titaPredkladatele
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  • 196572
http://linked.open...ai/riv/idVysledku
  • RIV/67985840:_____/11:00360202
http://linked.open...riv/jazykVysledku
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  • phase transitions; diffuse and sharp phase interface; interfacial energy (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [ADCB55C45756]
http://linked.open...i/riv/nazevZdroje
  • Interfaces and Free Boundaries
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 13
http://linked.open...iv/tvurceVysledku
  • Šilhavý, Miroslav
http://linked.open...ain/vavai/riv/wos
  • 000292382800005
http://linked.open...n/vavai/riv/zamer
issn
  • 1463-9963
number of pages
http://bibframe.org/vocab/doi
  • 10.4171/IFB/257
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