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An eigenvalue criterion for stability of a steady Navier-Stokes flow in R-3

SYSNO ASEP	0343538
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	An eigenvalue criterion for stability of a steady Navier-Stokes flow in R-3
Author(s)	Deuring, P. (FR) Neustupa, Jiří (MU-W)_{RID, SAI, ORCID}
Source Title	Journal of Mathematical Fluid Mechanics. - : Springer - ISSN 1422-6928 Roč. 12, č. 2 (2010), s. 202-242
Number of pages	41 s.
Language	eng - English
Country	CH - Switzerland
Keywords	Navier-Stokes equations ; stability ; Oseen equation ; resolvent estimates
Subject RIV	BA - General Mathematics
R&D Projects	GA201/08/0012 GA ČR - Czech Science Foundation (CSF)
CEZ	AV0Z10190503 - MU-W (2005-2011)
UT WOS	000277715200003
EID SCOPUS	77955924093
DOI	10.1007/s00021-008-0283-0
Annotation	We study the resolvent equation associated with a linear operator L arising from the linearized equation for perturbations of a steady Navier-Stokes flow U. We derive estimates which, together with a stability criterion from [33], show that the stability of U (in the L-2-norm) depends only on the position of the eigenvalues of L, regardless the presence of the essential spectrum.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2011

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