Index Catalog // ScholarsArchive@OSU

Creator:: Tro, Sara K.
Abstract:: In this thesis we analyze a model for Kerr optical materials consisting of Maxwell's equations along with the dispersive Duffing model. We consider Duffing models with cubic and quintic polynomial nonlinearities. We assume a traveling wave solution to this nonlinear electromagnetic system and analyze it using the theory of dynamical...
Resource Type:: Honors College Thesis
Full Text:: : Qualitative Analysis of Maxwell-Duffing Models in Nonlinear Optics Abstract approved: Vrushali A. Bokil In

Creator:: Stallcup, Isaac A.
Abstract:: In this thesis, we consider Maxwell's Equations and their numerical discretization using finite difference and finite element methods. We first describe Maxwell's equations in linear dielectrics and then present finite difference and finite element methods for this case. We then describe Maxwell's equations in linear metamaterials using the Lorentz and...
Resource Type:: Honors College Thesis
Full Text:: approved: Vrushali Bokil In this thesis, we consider Maxwell’s Equations and their numerical

Creator:: Alhammali, Azhar S. A.
Abstract:: In this work we consider a mathematical and computational model for biofilm growth and nutrient utilization. In particular, we are interested in a model appropriate at a scale of interface. The model is a system of two coupled nonlinear diffusion--reaction partial differential equations (PDEs). One of these PDEs is subject...
Resource Type:: Dissertation
Full Text:: committee members Dr. Ralph Showalter, Dr. Vrushali Bokil, Dr. Elaine Cozzi, and Dr. Katherine R

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:: OSU. I am grateful to the faculty advisors Dr. Holly Swisher and Dr. Vrushali Bokil for their support

ScholarsArchive@OSU