Browsing Department of Mathematics (MU) by Thesis Advisor "Dostoglou, S. (Stamatis A.)"
Now showing items 14 of 4

Limit of many molecules dynamics with rigorous macroscopic results
(University of MissouriColumbia, 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
(University of MissouriColumbia, 2010)Homogeneous and isotropic statistical solutions of the NavierStokes 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
(University of MissouriColumbia, 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 NavierStokes system on the rotating sphere
(University of MissouriColumbia, 2013)We show the existence and uniqueness of an invariant measure for the kickforced NavierStokes system on the 2dimensional sphere, first without deterministic force and then with a timeindependent deterministic force. The ...