Index Catalog // ScholarsArchive@OSU

Creator:: Hagen, Sarah S.
Abstract:: In this dissertation, we use Fourier-analytic and spectral theory methods to analyze the behavior of solutions of the incompressible Navier-Stokes equations in 2D and 3D (with an eye towards better understanding turbulence). In particular, we investigate the possible existence of so-called ghost solutions to the Navier-Stokes Equations. Such solutions, if...
Resource Type:: Dissertation
Full Text:: such thoughtful and excellent mathematicians. Thank you Dr. Elaine Cozzi, Dr. Ed Waymire, Dr. Ralph

Creator:: Kim, HoeWoon
Abstract:: The flow of incompressible, viscous fluids in R³ is governed by the non-linear Navier-Stokes equations. Two common linearizations of the Navier-Stokes equations, the Stokes equations and the Oseen equations, are studied in this thesis using probabilistic methods. The incompressibility condition presents new challenges for the well known theory relating partial...
Resource Type:: Dissertation
Full Text:: committee members, Ed Waymire, Donald Solmon, Ralph Showalter, and Glenn Evans. Personal I wish to thank

Creator:: Knowles, Jeffrey N.
Abstract:: Numerical results are presented using a higher-order pseudo-spectral method in order to solve the Zakharov-Craig-Sulem formulation of the Euler model. We study the effects of variable bathymetry on weakly-dispersive, weakly-nonlinear, shallow water waves. Improved predictions on wave amplitude and shoaling behavior are developed by analytical means in the context of...
Resource Type:: Dissertation
Full Text:: committee members Dr. Jonathan Istok, Dr. Juan Restrepo, Dr. Eugene Zhang, Dr. Solomon Yim, Dr. Ralph

Creator:: Shin, Choah
Abstract:: In this dissertation we consider two application specific flow and transport models in porous media at multiple scales: 1) methane gas transport models for hydrate formation and dissociation in the subsurface under two-phase conditions, and 2) coupled flow and biomass-nutrient model for biofilm growth in complex geometries with biofilm, and...
Resource Type:: Dissertation
Full Text:: honored to have her as my advisor. I would also like to thank Dr. Ralph Showalter, Dr. Robert Higdon, Dr

ScholarsArchive@OSU