Number of the records: 1

On the asymptotic decay of higher-order norms of the solutions to the Navier-Stokes equations in R3

SYSNO ASEP	0343675
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Ostatní články
Title	On the asymptotic decay of higher-order norms of the solutions to the Navier-Stokes equations in R3
Author(s)	Skalák, Zdeněk (UH-J)_{SAI, ORCID, RID}
Source Title	Discrete and Continuous Dynamical systems - Series S, Series S. - : AIMS Press - ISSN 1937-1632 Roč. 3, č. 2 (2010), s. 361-370
Number of pages	10 s.
Language	eng - English
Country	US - United States
Keywords	Navier–Stokes equations ; asymptotic behavior ; decay of higher-order norms
Subject RIV	BA - General Mathematics
R&D Projects	IAA100190905 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
CEZ	AV0Z20600510 - UH-J (2005-2011)
DOI	10.3934/dcdss.2010.3.361
Annotation	In this paper we study the large-time behavior of global weak solutions of the Navier-Stokes equations in the whole space satisfying the strong energy inequality. We especially show that any space derivative of the solution measured in L2-norm decreases with time going to infinity quickly than the L2-norm of the solution itself.
Workplace	Institute of Hydrodynamics
Contact	Soňa Hnilicová, hnilicova@ih.cas.cz, Tel.: 233 109 003
Year of Publishing	2011

Number of the records: 1