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  • Předpokládejme smíšenou okrajovou úlohu pro Navier-Stokesův systém. V příspěvku je studována regularita okrajové úlohy v okolí singulárních bodů hranice oblasti. Výsledky regularity jsou využity pro odhad chyby metody konečných prvků. V příspěvku je také řešen problém smíšené počátečně okrajové úlohy pro nestacionární Navier-Stokesův systém na dostatečně malém časovém okamžiku (0, T*). (cs)
  • We consider the mixed boundary value problem for the steady Navier-Stokes equations. Our goal is to prove some regularity results near corner points of the boundary. The further result is the proof of error estimate for finite element approximation of the weak solution in polygonal domain. We prove also the existence and uniqueness of Nonsteady Navier-Stokes system with mixed boundary conditions on some time interval (0, T*) for sufficiently small T*, 0 < T* < T.
  • We consider the mixed boundary value problem for the steady Navier-Stokes equations. Our goal is to prove some regularity results near corner points of the boundary. The further result is the proof of error estimate for finite element approximation of the weak solution in polygonal domain. We prove also the existence and uniqueness of Nonsteady Navier-Stokes system with mixed boundary conditions on some time interval (0, T*) for sufficiently small T*, 0 < T* < T. (en)
Title
  • Qualitative Properties of Some Mathematical Models of Fluid Mechanics
  • Kvalitativní vlastnosti některých matematických modelů mechaniky tekutin (cs)
  • Qualitative Properties of Some Mathematical Models of Fluid Mechanics (en)
skos:prefLabel
  • Qualitative Properties of Some Mathematical Models of Fluid Mechanics
  • Kvalitativní vlastnosti některých matematických modelů mechaniky tekutin (cs)
  • Qualitative Properties of Some Mathematical Models of Fluid Mechanics (en)
skos:notation
  • RIV/68407700:21110/07:01129604!RIV09-MSM-21110___
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  • V
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  • 446100
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  • RIV/68407700:21110/07:01129604
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  • Navier-Stokes system; Regularity (en)
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  • [ADEAB6DCD0A5]
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  • Praha
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  • Praha
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  • Proceedings of Workshop 2007
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  • Beneš, Michal
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number of pages
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  • České vysoké učení technické v Praze
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  • 978-80-01-03667-9
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  • 21110
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