On large-time energy concentration in solutions to the Navier-Stokes equations in the whole 3D space
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985874%3A_____%2F12%3A00380334" target="_blank" >RIV/67985874:_____/12:00380334 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1002/zamm.201000241" target="_blank" >http://dx.doi.org/10.1002/zamm.201000241</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/zamm.201000241" target="_blank" >10.1002/zamm.201000241</a>
Alternative languages
Result language
angličtina
Original language name
On large-time energy concentration in solutions to the Navier-Stokes equations in the whole 3D space
Original language description
In the first part of the paper we study the large-time behavior of the higher-order space derivatives of solutions to the Navier-Stokes equations in the whole three-dimensional space. We prove that L- norm of any such derivative decreases quickly than L-norm of the solution itself. Further, the decay of space derivatives in L- norm on small time intervals is limited from above by a positive constant. In the second part of the paper we derive several consequences of the results mentioned in the previousparagraph concerning the large-time energy concentration. We show that the energy of any turbulent solution concentrates asymptotically in frequencies from an annulus or a ball centered in the beginning of the coordinates.
Czech name
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Czech description
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Classification
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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Result continuities
Project
<a href="/en/project/IAA200600801" target="_blank" >IAA200600801: Decomposition techniques for flow-field analysis</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik
ISSN
0044-2267
e-ISSN
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Volume of the periodical
92
Issue of the periodical within the volume
10
Country of publishing house
DE - GERMANY
Number of pages
15
Pages from-to
801-815
UT code for WoS article
000309454900006
EID of the result in the Scopus database
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