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    •   MOspace Home
    • University of Missouri-Columbia
    • Graduate School - MU Theses and Dissertations (MU)
    • Theses and Dissertations (MU)
    • Dissertations (MU)
    • 2010 Dissertations (MU)
    • 2010 MU dissertations - Freely available online
    • View Item
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    Measures on Hilbert spaces and applications to hydrodynamics

    Kahl, John David, 1980-
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    Date
    2010
    Format
    Thesis
    Metadata
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    Abstract
    Homogeneous 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.
    URI
    https://hdl.handle.net/10355/8883
    https://doi.org/10.32469/10355/8883
    Degree
    Ph. D.
    Thesis Department
    Mathematics (MU)
    Rights
    OpenAccess.
    This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License.
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    • 2010 MU dissertations - Freely available online
    • Mathematics electronic theses and dissertations (MU)

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