Browsing Department of Mathematics (MU) by Thesis Advisor "Dostoglou, S. (Stamatis A.)"

Now showing items 1-4 of 4

  • Limit of many molecules dynamics with rigorous macroscopic results 

    Jacob, Nicholas C. (University of Missouri--Columbia, 2013)
    The thesis builds on recent ideas that combine work by C.B. Morrey (1955) and D.W. Jepsen & D. ter Haar (1962) with more recent analytic techniques: measure disintegration, PDEs for measures, etc. (M.I. Vishik & A.V. ...

  • Measures on Hilbert spaces and applications to hydrodynamics 

    Kahl, John David, 1980- (University of Missouri--Columbia, 2010)
    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 ...

  • Statistical and stochastic results for three dimensional fluids 

    Gastler, Robert Roby (University of Missouri--Columbia, 2012)
    In part I, we show that the longitudinal correlation function for homogeneous and isotropic turbulence remains negative in an interval of time, up to Galerkin approximation. Part II covers the existence and uniqueness of ...

  • Stochastically perturbed Navier-Stokes system on the rotating sphere 

    Varner, Gregory Alan (University of Missouri--Columbia, 2013)
    We show the existence and uniqueness of an invariant measure for the kick-forced Navier-Stokes system on the 2-dimensional sphere, first without deterministic force and then with a time-independent deterministic force. The ...