About: Local in Time Strong Solvability of the Non - Steady Navier - Stokes Equations with Navier's Boundary Condition and the Question of the Inviscid Limit

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	In this Note, we prove the existence of strong solutions to the Navier-Stokes equations for incompressible viscous fluids in a general regular bounded domain of R3 on a %22short%22 time interval (0, T_0), independent of the viscosity and of the friction between the fluid and the boundary. The solutions to the Navier-Stokes problem satisfy the inhomogeneous Navier's boundary condition and they reveal a remarkable structure of approximation of the solution to the Euler problem, which enables us to solve completely the question of the inviscid limit of the family of obtained solutions on the time interval (0, T_0). In this Note, we prove the existence of strong solutions to the Navier-Stokes equations for incompressible viscous fluids in a general regular bounded domain of R3 on a %22short%22 time interval (0, T_0), independent of the viscosity and of the friction between the fluid and the boundary. The solutions to the Navier-Stokes problem satisfy the inhomogeneous Navier's boundary condition and they reveal a remarkable structure of approximation of the solution to the Euler problem, which enables us to solve completely the question of the inviscid limit of the family of obtained solutions on the time interval (0, T_0). (en)
Title	Local in Time Strong Solvability of the Non - Steady Navier - Stokes Equations with Navier's Boundary Condition and the Question of the Inviscid Limit Local in Time Strong Solvability of the Non - Steady Navier - Stokes Equations with Navier's Boundary Condition and the Question of the Inviscid Limit (en)
skos:prefLabel	Local in Time Strong Solvability of the Non - Steady Navier - Stokes Equations with Navier's Boundary Condition and the Question of the Inviscid Limit Local in Time Strong Solvability of the Non - Steady Navier - Stokes Equations with Navier's Boundary Condition and the Question of the Inviscid Limit (en)
skos:notation	RIV/68407700:21220/10:00171268!RIV11-GA0-21220___
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	19-20
http://linked.open...vai/riv/dodaniDat	2011
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	268745
http://linked.open...ai/riv/idVysledku	RIV/68407700:21220/10:00171268
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Euler equations; Navier-Stokes equations; zero viscosity limit (en)
http://linked.open.../riv/klicoveSlovo	zero viscosity limit Navier-Stokes equations Euler equations
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[1EB3BD1E87DA]
http://linked.open...i/riv/nazevZdroje	Comptes Rendus Mathematique
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Qualitative analysis and numerical solution of flow problems
http://linked.open...UplatneniVysledku	2010
http://linked.open...v/svazekPeriodika	348
http://linked.open...iv/tvurceVysledku	Neustupa, Jiří Penel, P.
http://linked.open...ain/vavai/riv/wos	000284983000010
http://linked.open...n/vavai/riv/zamer	Aplikovaná matematika v technických a fyzikálních vědách
issn	1631-073X
number of pages	5 (xsd:int)
http://localhost/t...ganizacniJednotka	21220

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