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  • We introduce the notion of relative entropy in the framework of thermodynamics of compressible, viscous and heat conducting fluids. The relative entropy is constructed on the basis of a thermodynamic potential called ballistic free energy and provides stability of solutions to the associated Navier-Stokes-Fourier system with respect to perturbations. The theory is illustrated by applications to problems related to the long time behavior of solutions and the problem of weak-strong uniqueness.
  • We introduce the notion of relative entropy in the framework of thermodynamics of compressible, viscous and heat conducting fluids. The relative entropy is constructed on the basis of a thermodynamic potential called ballistic free energy and provides stability of solutions to the associated Navier-Stokes-Fourier system with respect to perturbations. The theory is illustrated by applications to problems related to the long time behavior of solutions and the problem of weak-strong uniqueness. (en)
Title
  • Relative entropies in thermodynamics of complete fluid systems
  • Relative entropies in thermodynamics of complete fluid systems (en)
skos:prefLabel
  • Relative entropies in thermodynamics of complete fluid systems
  • Relative entropies in thermodynamics of complete fluid systems (en)
skos:notation
  • RIV/67985840:_____/12:00376403!RIV13-AV0-67985840
http://linked.open...avai/riv/aktivita
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  • P(GA201/09/0917), Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika
  • 9
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  • 164871
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  • RIV/67985840:_____/12:00376403
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  • relative entropy; Navier-Stokes-Fourier system; weak-strong uniqueness (en)
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  • US - Spojené státy americké
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  • [8F9942F80556]
http://linked.open...i/riv/nazevZdroje
  • Discrete and Continuous Dynamical Systems
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http://linked.open...v/svazekPeriodika
  • 32
http://linked.open...iv/tvurceVysledku
  • Feireisl, Eduard
http://linked.open...ain/vavai/riv/wos
  • 000302349800004
http://linked.open...n/vavai/riv/zamer
issn
  • 1078-0947
number of pages
http://bibframe.org/vocab/doi
  • 10.3934/dcds.2012.32.3059
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