Regularity of weak solutions of the Navier-Stokes equations near the smooth boundary

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dc.contributor.authorSkalak, Zdenek
dc.date.accessioned2021-05-24T15:43:51Z
dc.date.available2021-05-24T15:43:51Z
dc.date.issued2005-04-24
dc.description.abstractAny weak solution u of the Navier-Stokes equations in a bounded domain satisfying the Prodi-Serrin's conditions locally near the smooth boundary cannot have singular points there. This local-up-to-the-boundary boundedness of u in space-time implies the Holder continuity of u up-to-the-boundary in the space variables.
dc.description.departmentMathematics
dc.formatText
dc.format.extent11 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationSkalak, Z. (2005). Regularity of weak solutions of the Navier-Stokes equations near the smooth boundary. <i>Electronic Journal of Differential Equations, 2005</i>(45), pp. 1-11.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13629
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2005, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectNavier-Stokes equations
dc.subjectWeak solutions
dc.subjectBoundary regularity
dc.titleRegularity of weak solutions of the Navier-Stokes equations near the smooth boundary
dc.typeArticle

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