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Description
| - We prove the existence of a steady solution to the Navier-Stokes equations for barotropic compressible fluid in a bounded simply connected domain with the prescribed generalized impermeability conditions u.n=0, cur u.n=0 and curl^2u.n=0 on the boundary, We assume that the state law for the pressure has the form P(rho)=rho^{gamma} for \gamma>5/3. We prove several auxiliary lemmas, e.g. on solution of the Stokes problem with the generalized impermeability boundary conditions in W^{2,p}(Omega) or on extension of the equation of continuity satisfied in the sense of distributions from D'(Omega) to D'(R^3) for velocity with the normal component on the boundary of Omega equal to zero.
- We prove the existence of a steady solution to the Navier-Stokes equations for barotropic compressible fluid in a bounded simply connected domain with the prescribed generalized impermeability conditions u.n=0, cur u.n=0 and curl^2u.n=0 on the boundary, We assume that the state law for the pressure has the form P(rho)=rho^{gamma} for \gamma>5/3. We prove several auxiliary lemmas, e.g. on solution of the Stokes problem with the generalized impermeability boundary conditions in W^{2,p}(Omega) or on extension of the equation of continuity satisfied in the sense of distributions from D'(Omega) to D'(R^3) for velocity with the normal component on the boundary of Omega equal to zero. (en)
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Title
| - A Weak Solvability to the Steady Navier - Stokes Equations for Compressible Barotropic Fluid with Generalized Impermeability Boundary Conditions
- A Weak Solvability to the Steady Navier - Stokes Equations for Compressible Barotropic Fluid with Generalized Impermeability Boundary Conditions (en)
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skos:prefLabel
| - A Weak Solvability to the Steady Navier - Stokes Equations for Compressible Barotropic Fluid with Generalized Impermeability Boundary Conditions
- A Weak Solvability to the Steady Navier - Stokes Equations for Compressible Barotropic Fluid with Generalized Impermeability Boundary Conditions (en)
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skos:notation
| - RIV/68407700:21220/11:00180940!RIV12-MSM-21220___
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
| - P(GA201/08/0012), Z(MSM6840770010)
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/68407700:21220/11:00180940
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - Navier-Stokes equations; compressible fluids; weak solution (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
| - GB - Spojené království Velké Británie a Severního Irska
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...vavai/riv/projekt
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
| - Muzereau, O.
- Neustupa, Jiří
- Penel, P.
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http://linked.open...ain/vavai/riv/wos
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http://linked.open...n/vavai/riv/zamer
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issn
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number of pages
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http://bibframe.org/vocab/doi
| - 10.1080/00036811003738828
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http://localhost/t...ganizacniJednotka
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