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Regularity of Navier--Stokes flows with bounds for the pressure
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dc.contributor.author | Tran, Chuong V. | |
dc.contributor.author | Yu, Xinwei | |
dc.date.accessioned | 2017-12-02T00:31:55Z | |
dc.date.available | 2017-12-02T00:31:55Z | |
dc.date.issued | 2017-05 | |
dc.identifier | 246904105 | |
dc.identifier | c98014fc-352a-45fd-aedb-242ab99a45e5 | |
dc.identifier | 85006488903 | |
dc.identifier | 000393525900004 | |
dc.identifier.citation | Tran , C V & Yu , X 2017 , ' Regularity of Navier--Stokes flows with bounds for the pressure ' , Applied Mathematics Letters , vol. 67 , pp. 21-27 . https://doi.org/10.1016/j.aml.2016.10.006 | en |
dc.identifier.issn | 0893-9659 | |
dc.identifier.other | ORCID: /0000-0002-1790-8280/work/61133264 | |
dc.identifier.uri | https://hdl.handle.net/10023/12230 | |
dc.description | This paper was presented at the Warwick EPSRC Symposium on PDEs in Fluid Mechanics, September 2016. Part of this research was carried out when CVT was visiting the University of Alberta, whose hospitality is gratefully acknowledged. XY was partially supported by NSERC Discovery grant RES0020476 | en |
dc.description.abstract | This study derives regularity criteria for solutions of the Navier–Stokes equations. Let Ω(t) := {x : |u(x, t)| > c ||u||Lr(R3) }, for some r ≥ 3 and constant c independent of t, with measure |Ω|. It is shown that if ||p + P||L3/2(Ω) becomes sufficiently small as |Ω| decreases, then||u||L(r+6)/3(R3) decays and regularity is secured. Here p is the physical pressure and P is a pressure moderator of relatively broad forms. The implications of the results are discussed and regularity criteria in terms of bounds for |p + P| within Ω are deduced. | |
dc.format.extent | 7 | |
dc.format.extent | 292726 | |
dc.language.iso | eng | |
dc.relation.ispartof | Applied Mathematics Letters | en |
dc.subject | Navier-Stokes equations | en |
dc.subject | Hölder continuity | en |
dc.subject | Global regularity | en |
dc.subject | QA Mathematics | en |
dc.subject | QC Physics | en |
dc.subject | T-NDAS | en |
dc.subject.lcc | QA | en |
dc.subject.lcc | QC | en |
dc.title | Regularity of Navier--Stokes flows with bounds for the pressure | en |
dc.type | Journal article | en |
dc.contributor.institution | University of St Andrews. Applied Mathematics | en |
dc.identifier.doi | 10.1016/j.aml.2016.10.006 | |
dc.description.status | Peer reviewed | en |
dc.date.embargoedUntil | 2017-12-01 |
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