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dc.contributor.advisorVasseur, Alexis F.en
dc.creatorChan, Chi Hin, 1979-en
dc.date.accessioned2012-09-20T19:57:18Zen
dc.date.available2012-09-20T19:57:18Zen
dc.date.issued2008-05en
dc.identifier.urihttp://hdl.handle.net/2152/17952en
dc.descriptiontexten
dc.description.abstractThe first part of this thesis is devoted to a regularity criterion for solutions of the Incompressible Navier-Stokes equations in terms of regularity of the solutions along the streamlines. More precisely, we prove that we can ensure the full regularity of a given suitable weak solution provided we have good control on the second derivative of the velocity along the direction of the streamlines of the fluid. In the second part of this thesis, we will show that the global regularity of a suitable weak solution u for the incompressible Navier-Stokes equations holds under the condition that [mathematical equation] is integrable in space time variables.en
dc.format.mediumelectronicen
dc.language.isoengen
dc.rightsCopyright is held by the author. Presentation of this material on the Libraries' web site by University Libraries, The University of Texas at Austin was made possible under a limited license grant from the author who has retained all copyrights in the works.en
dc.subject.lcshNavier-Stokes equations--Numerical solutionsen
dc.titleThe De Giorgi's method as applied to the regularity theory for incompressible Navier-Stokes equationsen
dc.description.departmentMathematicsen
thesis.degree.departmentMathematicsen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorThe University of Texas at Austinen
thesis.degree.levelDoctoralen
thesis.degree.nameDoctor of Philosophyen


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