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  • We consider the steady compressible Navier-Stokes equations of isentropic flow in three-dimensional domains with several exits to infinity with prescribed pressure drops. On the one hand, when each exit is supposed to contain a cone inside, we shall construct bounded energy weak solution for adiabatic constant $\gamma gt 3$. On the other hand, when the exits do not open sufficiently rapidly, we shall prove a non-existence result.
  • We consider the steady compressible Navier-Stokes equations of isentropic flow in three-dimensional domains with several exits to infinity with prescribed pressure drops. On the one hand, when each exit is supposed to contain a cone inside, we shall construct bounded energy weak solution for adiabatic constant $\gamma gt 3$. On the other hand, when the exits do not open sufficiently rapidly, we shall prove a non-existence result. (en)
  • Uvažujeme stacionární stlačitelné Navier-Stokesovy rovnice v izentropickém režimu ve třídimenzionální oblasti s několika exity do nekonečna s předepsaným rozdílem tlaků. Na jedné straně, obsahuje-li každý exit uvnitř nějaký kužel, zkonstruujeme slabé řešení s omezenou energií pro adiabatickou konstantu $\gamma gt 3$. Na druhou stranu, pokud se exity neotevírají dostatečně rychle, ukážeme, že řešení obecně nemusí existovat. (cs)
Title
  • Steady compressible Navier-Stokes equations in domains with non-compact boundaries
  • Stacionární stlačitelné Navier-Stokesovy rovnice v oblastech s nekompaktními hranicemi (cs)
  • Steady compressible Navier-Stokes equations in domains with non-compact boundaries (en)
skos:prefLabel
  • Steady compressible Navier-Stokes equations in domains with non-compact boundaries
  • Stacionární stlačitelné Navier-Stokesovy rovnice v oblastech s nekompaktními hranicemi (cs)
  • Steady compressible Navier-Stokes equations in domains with non-compact boundaries (en)
skos:notation
  • RIV/00216208:11320/05:00001176!RIV06-MSM-11320___
http://linked.open.../vavai/riv/strany
  • 1445;1479
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/03/0934), P(GP201/02/P091), Z(MSM 113200007)
http://linked.open...iv/cisloPeriodika
  • 12
http://linked.open...vai/riv/dodaniDat
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http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 544640
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/05:00001176
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Steady; compressible; Navier-Stokes; equations; domains; non-compact; boundaries (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [6766972934F3]
http://linked.open...i/riv/nazevZdroje
  • Mathematical Methods in the Applied Sciences
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 28
http://linked.open...iv/tvurceVysledku
  • Pokorný, Milan
http://linked.open...n/vavai/riv/zamer
issn
  • 0170-4214
number of pages
http://localhost/t...ganizacniJednotka
  • 11320
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