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DC Field | Value | Language |
---|---|---|
dc.citation.endPage | 991 | - |
dc.citation.number | 3 | - |
dc.citation.startPage | 963 | - |
dc.citation.title | ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | - |
dc.citation.volume | 205 | - |
dc.contributor.author | Bae, Hantaek | - |
dc.contributor.author | Biswas, Animikh | - |
dc.contributor.author | Tadmor, Eitan | - |
dc.date.accessioned | 2023-12-22T04:42:33Z | - |
dc.date.available | 2023-12-22T04:42:33Z | - |
dc.date.created | 2015-09-03 | - |
dc.date.issued | 2012-09 | - |
dc.description.abstract | In this paper, we establish analyticity of the Navier-Stokes equations with small data in critical Besov spaces . The main method is Gevrey estimates, the choice of which is motivated by the work of Foias and Temam (Contemp Math 208:151-180, 1997). We show that mild solutions are Gevrey regular, that is, the energy bound holds in , globally in time for p < a. We extend these results for the intricate limiting case p = a in a suitably designed E (a) space. As a consequence of analyticity, we obtain decay estimates of weak solutions in Besov spaces. Finally, we provide a regularity criterion in Besov spaces | - |
dc.identifier.bibliographicCitation | ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, v.205, no.3, pp.963 - 991 | - |
dc.identifier.doi | 10.1007/s00205-012-0532-5 | - |
dc.identifier.issn | 0003-9527 | - |
dc.identifier.scopusid | 2-s2.0-84865523515 | - |
dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/16610 | - |
dc.identifier.url | http://link.springer.com/article/10.1007%2Fs00205-012-0532-5 | - |
dc.identifier.wosid | 000307757300007 | - |
dc.language | 영어 | - |
dc.publisher | SPRINGER | - |
dc.title | Analyticity and Decay Estimates of the Navier-Stokes Equations in Critical Besov Spaces | - |
dc.type | Article | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.subject.keywordPlus | WEAK SOLUTIONS | - |
dc.subject.keywordPlus | GEVREY REGULARITY | - |
dc.subject.keywordPlus | INITIAL DATA | - |
dc.subject.keywordPlus | LEVEL SETS | - |
dc.subject.keywordPlus | VORTICITY | - |
dc.subject.keywordPlus | POSEDNESS | - |
dc.subject.keywordPlus | BEHAVIOR | - |
dc.subject.keywordPlus | SCALE | - |
dc.subject.keywordPlus | 3D | - |
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