On the result of He concerning the smoothness of solutions to the Navier-Stokes equations

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dc.contributor.authorPokorny, Milan
dc.date.accessioned2020-09-14T16:27:44Z
dc.date.available2020-09-14T16:27:44Z
dc.date.issued2003-02-06
dc.description.abstractWe improve the regularity criterion for the Navier-Stokes equations proved by He [4]. We show that for the Cauchy problem the Leray-Hopf weak solution is smooth provided ∇u3 ∈ Lt (0, T; Ls), 2/t + 3/s ≤ 3/2.
dc.description.departmentMathematics
dc.formatText
dc.format.extent8 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationPokorny, M. (2003). On the result of He concerning the smoothness of solutions to the Navier-Stokes equations. <i>Electronic Journal of Differential Equations, 2003</i>(11), pp. 1-8.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/12602
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2003, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectNavier-Stokes equations
dc.subjectRegularity of systems of PDE's
dc.subjectAnisotropic regularity criteria
dc.titleOn the result of He concerning the smoothness of solutions to the Navier-Stokes equations
dc.typeArticle

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