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dc.contributor.advisorDostoglou, S. (Stamatis A.)eng
dc.contributor.authorKahl, John David, 1980-eng
dc.date.issued2010eng
dc.date.submitted2010 Summereng
dc.descriptionTitle from PDF of title page (University of Missouri--Columbia, viewed on August 20, 2010).eng
dc.descriptionThe entire thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file; a non-technical public abstract appears in the public.pdf file.eng
dc.descriptionDissertation advisor: Stamatis Dostogloueng
dc.descriptionVita.eng
dc.descriptionPh. D. University of Missouri--Columbia 2010.eng
dc.description.abstractHomogeneous and isotropic statistical solutions of the Navier-Stokes equations are produced. These are shown to be approximated by Galyerkin statistical solutions on finite dimensional subspaces. Homogeneous and isotropic measures are approximated in the 2ndWasserstein metric by measures supported on finite dimensional subspaces. The homogeneous measures are then shown to be a subspace of positive curvature of the 2nd Wasserstein space.eng
dc.description.bibrefIncludes bibliographical references.eng
dc.format.extentxi, 88 pageseng
dc.identifier.merlinb80170523eng
dc.identifier.oclc670431591eng
dc.identifier.urihttps://hdl.handle.net/10355/8883
dc.identifier.urihttps://doi.org/10.32469/10355/8883eng
dc.languageEnglisheng
dc.publisherUniversity of Missouri--Columbiaeng
dc.relation.ispartofcommunityUniversity of Missouri--Columbia. Graduate School. Theses and Dissertationseng
dc.rightsOpenAccess.eng
dc.rights.licenseThis work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License.
dc.subject.lcshHilbert spaceeng
dc.subject.lcshNavier-Stokes equationseng
dc.subject.lcshHomogenization (Differential equations)eng
dc.titleMeasures on Hilbert spaces and applications to hydrodynamicseng
dc.typeThesiseng
thesis.degree.disciplineMathematics (MU)eng
thesis.degree.grantorUniversity of Missouri--Columbiaeng
thesis.degree.levelDoctoraleng
thesis.degree.namePh. D.eng


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