On large-time energy concentration in solutions to the Navier-Stokes equations in general domains

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985874%3A_____%2F11%3A00364506" target="_blank" >RIV/67985874:_____/11:00364506 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1002/zamm.200900399" target="_blank" >http://dx.doi.org/10.1002/zamm.200900399</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/zamm.200900399" target="_blank" >10.1002/zamm.200900399</a>

Result language
angličtina
Original language name
On large-time energy concentration in solutions to the Navier-Stokes equations in general domains
Original language description
In the paper we describe the large time energy concentration in the frequency space which occurs in global weak solutions to the Navier-Stokes equations satisfying the strong energy inequality. The energy of exponentially decreasing solutions concentrates in a particular ring in the frequency space. The diameter of the ring is connected with the rate of the exponential decay. The energy of solutions decreasing at an algebraic rate concentrates asymptotically in arbitrarily small frequencies. The resultshold for any turbulent solution and for any three-dimensional sufficiently smooth domain. In Appendix, we present some further results connected with energy concentration.
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
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Project
<a href="/en/project/IAA100190905" target="_blank" >IAA100190905: Dynamical properties of the Navier-Stokes and related equations</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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