Pressure Conditions for the Local Regularity of Solutions of the Navier-Stokes Equations

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dc.contributor.authorO'Leary, Mike
dc.date.accessioned2019-03-25T20:44:35Z
dc.date.available2019-03-25T20:44:35Z
dc.date.issued1998-05-13
dc.description.abstractWe obtain a relationship between the integrability of the pressure gradient and the the integrability of the velocity for local solutions of the Navier--Stokes equations with finite energy. In particular, we show that if the pressure gradient is sufficiently integrable, then the corresponding velocity is locally bounded and smooth in the spatial variables. The result is proven by using De Giorgi type estimates in L(weak)(p) spaces.
dc.description.departmentMathematics
dc.formatText
dc.format.extent9 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationO'Leary, M. (1998). Pressure conditions for the local regularity of solutions of the Navier-Stokes equations. <i>Electronic Journal of Differential Equations, 1998</i>(12), pp. 1-9.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/7944
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, 1998, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectNavier-Stokes
dc.subjectRegularity
dc.subjectPressure
dc.titlePressure Conditions for the Local Regularity of Solutions of the Navier-Stokes Equations
dc.typeArticle

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