On the Smallness of the (Possible) Singular Set in Space for 3D Navier-Stokes Equations

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dc.contributor.authorGrujic, Zoran
dc.date.accessioned2019-11-21T19:38:03Z
dc.date.available2019-11-21T19:38:03Z
dc.date.issued1999-12-03
dc.description.abstractWe utilize L∞ estimates on the complexified solutions of 3D Navier-Stokes equations via a plurisubharmonic measure type maximum principle to give a short proof of the fact that the Hausdorff dimension of the (possible) singular set in space is less or equal 1 assuming chaotic, Cantor set-like structure of the blow-up profile.
dc.description.departmentMathematics
dc.formatText
dc.format.extent8 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationGrujic, Z. (1999). On the smallness of the (possible) singular set in space for 3D Navier-Stokes equations. <i>Electronic Journal of Differential Equations, 1999</i>(48), pp. 1-8.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/8859
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, 1999, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectNavier-Stokes equations
dc.subjectSingular set
dc.subjectTurbulence
dc.titleOn the Smallness of the (Possible) Singular Set in Space for 3D Navier-Stokes Equations
dc.typeArticle

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