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  • This paper gives a survey of some recent results on the asymptotic behaviour for large time of solutions of models of complete fluid systems, meaning models including compressibility, viscosity, and/or heat conductivity of the fluids. Several concepts of solutions are introduced, and the existence of global-in-time trajectories is discussed along with general questions concerning well-posedness. Dissipativity properties are considered, and in particular, the existence of absorbing sets and the asymptotic compactness of trajectories. Finally, the existence of attractors, convergence to equilibria, and other qualitative aspects of the long-time behaviour are studied.
  • This paper gives a survey of some recent results on the asymptotic behaviour for large time of solutions of models of complete fluid systems, meaning models including compressibility, viscosity, and/or heat conductivity of the fluids. Several concepts of solutions are introduced, and the existence of global-in-time trajectories is discussed along with general questions concerning well-posedness. Dissipativity properties are considered, and in particular, the existence of absorbing sets and the asymptotic compactness of trajectories. Finally, the existence of attractors, convergence to equilibria, and other qualitative aspects of the long-time behaviour are studied. (en)
Title
  • Dynamical systems approach to models in fluid mechanics
  • Dynamical systems approach to models in fluid mechanics (en)
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  • Dynamical systems approach to models in fluid mechanics
  • Dynamical systems approach to models in fluid mechanics (en)
skos:notation
  • RIV/67985840:_____/14:00430283!RIV15-AV0-67985840
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • R
http://linked.open...iv/cisloPeriodika
  • 2
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http://linked.open...aciTvurceVysledku
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  • 12697
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  • RIV/67985840:_____/14:00430283
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  • Navier-Stokes-Fourier system; weak solution; long-time behaviour (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • RU - Ruská federace
http://linked.open...ontrolniKodProRIV
  • [48702760D5A4]
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  • Russian Mathematical Surveys
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http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 69
http://linked.open...iv/tvurceVysledku
  • Feireisl, Eduard
http://linked.open...ain/vavai/riv/wos
  • 000338728500005
issn
  • 0036-0279
number of pages
http://bibframe.org/vocab/doi
  • 10.1070/RM2014v069n02ABEH004890
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