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

Number of the records: 1

1.

SYSNO ASEP	0353112
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Some aspects of the asymptotic dynamics of solutions of the homogeneous Navier-Stokes equations in general domains
Author(s)	Skalák, Zdeněk (UH-J)_{SAI, ORCID, RID}
Source Title	Journal of Mathematical Fluid Mechanics. - : Springer - ISSN 1422-6928 Roč. 12, č. 4 (2010), s. 503-535
Number of pages	33 s.
Language	eng - English
Country	CH - Switzerland
Keywords	Navier–Stokes equations ; asymptotic behavior of solution ; fast decays
Subject RIV	BA - General Mathematics
R&D Projects	IAA200600801 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
CEZ	AV0Z20600510 - UH-J (2005-2011)
UT WOS	000285929600003
DOI	10.1007/s00021-009-0300-y
Annotation	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.
Workplace	Institute of Hydrodynamics
Contact	Soňa Hnilicová, hnilicova@ih.cas.cz, Tel.: 233 109 003
Year of Publishing	2011

Number of the records: 1