About: Some aspects of the asymptotic dynamics of solutions of the homogeneous Navier-Stokes equations in general domains

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	In the first part of the paper we study decays of solutions of the Navier-Stokes equations on short time intervals. We show as the main result that solutions satisfying the strong energy inequality do not exhibit large decays if they are measured in the energetic L^2 norm. In the second part of the paper we characterize approximately the subspace of the phase space through which the trajectory of the solution moves. As a consequence of the presented results we get that the energy of solution cannot decay more quickly than exponentially. In the first part of the paper we study decays of solutions of the Navier-Stokes equations on short time intervals. We show as the main result that solutions satisfying the strong energy inequality do not exhibit large decays if they are measured in the energetic L^2 norm. In the second part of the paper we characterize approximately the subspace of the phase space through which the trajectory of the solution moves. As a consequence of the presented results we get that the energy of solution cannot decay more quickly than exponentially. (en)
Title	Some aspects of the asymptotic dynamics of solutions of the homogeneous Navier-Stokes equations in general domains Some aspects of the asymptotic dynamics of solutions of the homogeneous Navier-Stokes equations in general domains (en)
skos:prefLabel	Some aspects of the asymptotic dynamics of solutions of the homogeneous Navier-Stokes equations in general domains Some aspects of the asymptotic dynamics of solutions of the homogeneous Navier-Stokes equations in general domains (en)
skos:notation	RIV/67985874:_____/10:00353112!RIV11-AV0-67985874
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(IAA200600801), Z(AV0Z20600510)
http://linked.open...iv/cisloPeriodika	4
http://linked.open...vai/riv/dodaniDat	2011
http://linked.open...aciTvurceVysledku	Skalák, Zdeněk
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	Ústav pro hydrodynamiku AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	288580
http://linked.open...ai/riv/idVysledku	RIV/67985874:_____/10:00353112
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Navier–Stokes equations; asymptotic behavior of solution; fast decays (en)
http://linked.open.../riv/klicoveSlovo	asymptotic behavior of solution Navier–Stokes equations fast decays
http://linked.open...odStatuVydavatele	CH - Švýcarská konfederace
http://linked.open...ontrolniKodProRIV	[4577F0A5BF60]
http://linked.open...i/riv/nazevZdroje	Journal of Mathematical Fluid Mechanics
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...vavai/riv/projekt	Decomposition techniques for flow-field analysis
http://linked.open...UplatneniVysledku	2010
http://linked.open...v/svazekPeriodika	12
http://linked.open...iv/tvurceVysledku	Skalák, Zdeněk
http://linked.open...ain/vavai/riv/wos	000285929600003
http://linked.open...n/vavai/riv/zamer	Dynamics of Fluid Systems and Transformation Processes in Hydrosphere
issn	1422-6928
number of pages	33 (xsd:int)
is http://linked.open...avai/riv/vysledek of	Some aspects of the asymptotic dynamics of solutions of the homogeneous Navier-Stokes equations in general domains Some aspects of the asymptotic dynamics of solutions of the homogeneous Navier-Stokes equations in general domains Some aspects of the asymptotic dynamics of solutions of the homogeneous Navier-Stokes equations in general domains

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