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

0343538 - MÚ 2011 RIV CH eng J - Journal Article
Deuring, P. - Neustupa, Jiří
An eigenvalue criterion for stability of a steady Navier-Stokes flow in R-3.
Journal of Mathematical Fluid Mechanics. Roč. 12, č. 2 (2010), s. 202-242. ISSN 1422-6928. E-ISSN 1422-6952
R&D Projects: GA ČR GA201/08/0012
Institutional research plan: CEZ:AV0Z10190503
Keywords : Navier-Stokes equations * stability * Oseen equation * resolvent estimates
Subject RIV: BA - General Mathematics
Impact factor: 0.786, year: 2010
http://link.springer.com/article/10.1007%2Fs00021-008-0283-0

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.
Permanent Link: http://hdl.handle.net/11104/0185992