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Article: Sharp One Component Regularity for Navier–Stokes
Title | Sharp One Component Regularity for Navier–Stokes |
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Authors | |
Issue Date | 2019 |
Citation | Archive for Rational Mechanics and Analysis, 2019, v. 231, n. 2, p. 939-970 How to Cite? |
Abstract | We consider the conditional regularity of mild solution ν to the incompressible Navier–Stokes equations in three dimensions. Let e∈ S2 and 0 < T∗< ∞. Chemin and Zhang (Ann Sci Éc Norm Supér 49:131–167, 2016) proved the regularity of ν on (0, T*] if there exists p∈ (4 , 6) such that∫0T*‖v·e‖H˙12+2ppdt<∞.Chemin et al. (Arch Ration Mech Anal 224(3):871–905, 2017) extended the range of p to (4 , ∞). In this article we settle the case p∈ [2 , 4]. Our proof also works for the case p∈ (4 , ∞). |
Persistent Identifier | http://hdl.handle.net/10722/327197 |
ISSN | 2023 Impact Factor: 2.6 2023 SCImago Journal Rankings: 3.703 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Han, Bin | - |
dc.contributor.author | Lei, Zhen | - |
dc.contributor.author | Li, Dong | - |
dc.contributor.author | Zhao, Na | - |
dc.date.accessioned | 2023-03-31T05:29:39Z | - |
dc.date.available | 2023-03-31T05:29:39Z | - |
dc.date.issued | 2019 | - |
dc.identifier.citation | Archive for Rational Mechanics and Analysis, 2019, v. 231, n. 2, p. 939-970 | - |
dc.identifier.issn | 0003-9527 | - |
dc.identifier.uri | http://hdl.handle.net/10722/327197 | - |
dc.description.abstract | We consider the conditional regularity of mild solution ν to the incompressible Navier–Stokes equations in three dimensions. Let e∈ S2 and 0 < T∗< ∞. Chemin and Zhang (Ann Sci Éc Norm Supér 49:131–167, 2016) proved the regularity of ν on (0, T*] if there exists p∈ (4 , 6) such that∫0T*‖v·e‖H˙12+2ppdt<∞.Chemin et al. (Arch Ration Mech Anal 224(3):871–905, 2017) extended the range of p to (4 , ∞). In this article we settle the case p∈ [2 , 4]. Our proof also works for the case p∈ (4 , ∞). | - |
dc.language | eng | - |
dc.relation.ispartof | Archive for Rational Mechanics and Analysis | - |
dc.title | Sharp One Component Regularity for Navier–Stokes | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1007/s00205-018-1292-7 | - |
dc.identifier.scopus | eid_2-s2.0-85051674738 | - |
dc.identifier.volume | 231 | - |
dc.identifier.issue | 2 | - |
dc.identifier.spage | 939 | - |
dc.identifier.epage | 970 | - |
dc.identifier.eissn | 1432-0673 | - |
dc.identifier.isi | WOS:000455881900006 | - |