About: On large-time energy concentration in solutions to the Navier-Stokes equations in the whole 3D space

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About: On large-time energy concentration in solutions to the Navier-Stokes equations in the whole 3D space Goto Sponge NotDistinct Permalink

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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 the large-time behavior of the higher-order space derivatives of solutions to the Navier-Stokes equations in the whole three-dimensional space. We prove that L- norm of any such derivative decreases quickly than L- norm of the solution itself. Further, the decay of space derivatives in L- norm on small time intervals is limited from above by a positive constant. In the second part of the paper we derive several consequences of the results mentioned in the previous paragraph concerning the large-time energy concentration. We show that the energy of any turbulent solution concentrates asymptotically in frequencies from an annulus or a ball centered in the beginning of the coordinates. In the first part of the paper we study the large-time behavior of the higher-order space derivatives of solutions to the Navier-Stokes equations in the whole three-dimensional space. We prove that L- norm of any such derivative decreases quickly than L- norm of the solution itself. Further, the decay of space derivatives in L- norm on small time intervals is limited from above by a positive constant. In the second part of the paper we derive several consequences of the results mentioned in the previous paragraph concerning the large-time energy concentration. We show that the energy of any turbulent solution concentrates asymptotically in frequencies from an annulus or a ball centered in the beginning of the coordinates. (en)
Title	On large-time energy concentration in solutions to the Navier-Stokes equations in the whole 3D space On large-time energy concentration in solutions to the Navier-Stokes equations in the whole 3D space (en)
skos:prefLabel	On large-time energy concentration in solutions to the Navier-Stokes equations in the whole 3D space On large-time energy concentration in solutions to the Navier-Stokes equations in the whole 3D space (en)
skos:notation	RIV/67985874:_____/12:00380334!RIV13-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(IAA200600801), Z(AV0Z20600510)
http://linked.open...iv/cisloPeriodika	10
http://linked.open...vai/riv/dodaniDat	2013
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	156264
http://linked.open...ai/riv/idVysledku	RIV/67985874:_____/12:00380334
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Navier-Stokes equations; large-time behavior of solutions; energy concentration (en)
http://linked.open.../riv/klicoveSlovo	energy concentration Navier-Stokes equations large-time behavior of solutions
http://linked.open...odStatuVydavatele	DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV	[3CF12BBD16BC]
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	Decomposition techniques for flow-field analysis
http://linked.open...UplatneniVysledku	2012
http://linked.open...v/svazekPeriodika	92
http://linked.open...iv/tvurceVysledku	Skalák, Zdeněk
http://linked.open...ain/vavai/riv/wos	000309454900006
http://linked.open...n/vavai/riv/zamer	Dynamics of Fluid Systems and Transformation Processes in Hydrosphere
issn	0044-2267
number of pages	15 (xsd:int)
http://bibframe.org/vocab/doi	10.1002/zamm.201000241
is http://linked.open...avai/riv/vysledek of	On large-time energy concentration in solutions to the Navier-Stokes equations in the whole 3D space

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