About: A Weak Solvability to the Steady Navier - Stokes Equations for Compressible Barotropic Fluid with Generalized Impermeability Boundary Conditions

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About: A Weak Solvability to the Steady Navier - Stokes Equations for Compressible Barotropic Fluid with Generalized Impermeability Boundary Conditions Goto Sponge NotDistinct Permalink

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://www.informaworld.com/smpp/content~db=all~content=a926690041~frm=abslink
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)
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)
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)
skos:notation	RIV/68407700:21220/11:00180940!RIV12-MSM-21220___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA201/08/0012), Z(MSM6840770010)
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2012
http://linked.open...aciTvurceVysledku	Neustupa, Jiří
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	České vysoké učení technické v Praze / Fakulta strojní
http://linked.open...dnocenehoVysledku	184255
http://linked.open...ai/riv/idVysledku	RIV/68407700:21220/11:00180940
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Navier-Stokes equations; compressible fluids; weak solution (en)
http://linked.open.../riv/klicoveSlovo	Navier-Stokes equations weak solution compressible fluids
http://linked.open...odStatuVydavatele	GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV	[DF111A3BC88A]
http://linked.open...i/riv/nazevZdroje	Applicable Analysis
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Qualitative analysis and numerical solution of flow problems
http://linked.open...UplatneniVysledku	2011
http://linked.open...v/svazekPeriodika	90
http://linked.open...iv/tvurceVysledku	Muzereau, O. Neustupa, Jiří Penel, P.
http://linked.open...ain/vavai/riv/wos	000286823700010
http://linked.open...n/vavai/riv/zamer	Aplikovaná matematika v technických a fyzikálních vědách
issn	0003-6811
number of pages	17 (xsd:int)
http://bibframe.org/vocab/doi	10.1080/00036811003738828
http://localhost/t...ganizacniJednotka	21220

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