dc.citation.endPage |
945 |
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dc.citation.number |
5 |
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dc.citation.startPage |
899 |
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dc.citation.title |
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE |
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dc.citation.volume |
31 |
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dc.contributor.author |
Choi, Kyudong |
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dc.contributor.author |
Vasseur, Alexis |
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dc.date.accessioned |
2023-12-22T02:12:02Z |
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dc.date.available |
2023-12-22T02:12:02Z |
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dc.date.created |
2015-07-28 |
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dc.date.issued |
2014-09 |
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dc.description.abstract |
We study weak solutions of the 3D Navier Stokes equations with L-2 initial data. We prove that del(alpha)u is locally integrable in space time for any real a such that 1 < alpha < 3. Up to now, only the second derivative del(alpha)u was known to be locally integrable by standard parabolic regularization. We also present sharp estimates of those quantities in weak-L-loc(4/(alpha+1)). These estimates depend only on the L-2-norm of the initial data and on the domain of integration. Moreover, they are valid even for alpha >= 3 as long as u is smooth. The proof uses a standard approximation of Navier Stokes from Leray and blow-up techniques. The local study is based on De Giorgi techniques with a new pressure decomposition. To handle the non-locality of fractional Laplacians, Hardy space and Maximal functions are introduced. (C) 2013 Elsevier Masson SAS. All rights reserved. |
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dc.identifier.bibliographicCitation |
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, v.31, no.5, pp.899 - 945 |
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dc.identifier.doi |
10.1016/j.anihpc.2013.08.001 |
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dc.identifier.issn |
0294-1449 |
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dc.identifier.scopusid |
2-s2.0-84908480272 |
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dc.identifier.uri |
https://scholarworks.unist.ac.kr/handle/201301/13061 |
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dc.identifier.url |
http://www.sciencedirect.com/science/article/pii/S0294144913000929 |
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dc.identifier.wosid |
000342726900002 |
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dc.language |
영어 |
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dc.publisher |
GAUTHIER-VILLARS/EDITIONS ELSEVIER |
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dc.title |
Estimates on fractional higher derivatives of weak solutions for the Navier-Stokes equations |
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dc.type |
Article |
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dc.description.journalRegisteredClass |
scie |
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dc.description.journalRegisteredClass |
scopus |
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