About: On large-time energy concentration in solutions to the 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 paper we describe the large time energy concentration in the frequency space which occurs in global weak solutions to the Navier-Stokes equations satisfying the strong energy inequality. The energy of exponentially decreasing solutions concentrates in a particular ring in the frequency space. The diameter of the ring is connected with the rate of the exponential decay. The energy of solutions decreasing at an algebraic rate concentrates asymptotically in arbitrarily small frequencies. The results hold for any turbulent solution and for any three-dimensional sufficiently smooth domain. In Appendix, we present some further results connected with energy concentration. In the paper we describe the large time energy concentration in the frequency space which occurs in global weak solutions to the Navier-Stokes equations satisfying the strong energy inequality. The energy of exponentially decreasing solutions concentrates in a particular ring in the frequency space. The diameter of the ring is connected with the rate of the exponential decay. The energy of solutions decreasing at an algebraic rate concentrates asymptotically in arbitrarily small frequencies. The results hold for any turbulent solution and for any three-dimensional sufficiently smooth domain. In Appendix, we present some further results connected with energy concentration. (en)
Title	On large-time energy concentration in solutions to the Navier-Stokes equations in general domains On large-time energy concentration in solutions to the Navier-Stokes equations in general domains (en)
skos:prefLabel	On large-time energy concentration in solutions to the Navier-Stokes equations in general domains On large-time energy concentration in solutions to the Navier-Stokes equations in general domains (en)
skos:notation	RIV/67985874:_____/11:00364506!RIV12-AV0-67985874
http://linked.open...avai/predkladatel	Ústav pro hydrodynamiku AV ČR, v. v. i.
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(IAA100190905), Z(AV0Z20600510)
http://linked.open...iv/cisloPeriodika	9
http://linked.open...vai/riv/dodaniDat	2012
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	218057
http://linked.open...ai/riv/idVysledku	RIV/67985874:_____/11:00364506
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Navier-Stokes equations; large-time behavior; energy concentration (en)
http://linked.open.../riv/klicoveSlovo	energy concentration large-time behavior Navier-Stokes equations
http://linked.open...odStatuVydavatele	DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV	[D22E6197AB6F]
http://linked.open...i/riv/nazevZdroje	ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik
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	Dynamical properties of the Navier-Stokes and related equations
http://linked.open...UplatneniVysledku	2011
http://linked.open...v/svazekPeriodika	91
http://linked.open...iv/tvurceVysledku	Skalák, Zdeněk
http://linked.open...ain/vavai/riv/wos	000295068600004
http://linked.open...n/vavai/riv/zamer	Dynamics of Fluid Systems and Transformation Processes in Hydrosphere
issn	0044-2267
number of pages	9 (xsd:int)
http://bibframe.org/vocab/doi	10.1002/zamm.200900399
is http://linked.open...avai/riv/vysledek of	On large-time energy concentration in solutions to the Navier-Stokes equations in general domains On large-time energy concentration in solutions to the Navier-Stokes equations in general domains

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