A spectral criterion for stability of a steady viscous incompressible flow past an obstacle

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F16%3A00457135" target="_blank" >RIV/67985840:_____/16:00457135 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s00021-015-0239-0" target="_blank" >http://dx.doi.org/10.1007/s00021-015-0239-0</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00021-015-0239-0" target="_blank" >10.1007/s00021-015-0239-0</a>

Result language
angličtina
Original language name
A spectral criterion for stability of a steady viscous incompressible flow past an obstacle
Original language description
We show that the question of stability of a steady incompressible Navier-Stokes flow V in a 3D exterior domain Ω is essentially a finite-dimensional problem (Theorem 3.2). Although the associated linearized operator has an essential spectrum touching the imaginary axis, we show that certain assumptions on the eigenvalues of this operator guarantee the stability of flow V (Theorem 4.1). No assumption on the smallness of the steady flow V is required.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GA13-00522S" target="_blank" >GA13-00522S: Qualitative analysis and numerical solution of problems of flows in generally time-dependent domains with various boundary conditions</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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