Index Catalog // ScholarsArchive@OSU

Creator:: Crow, John A.
Abstract:: A nonlinear wave equation is developed, modeling the evolution in time of shallow water waves over a variable topography. As the usual assumptions of a perfect fluid and an irrotational flow are not made, the resulting model equation is dissipative due to the presence of a viscous boundary layer at...
Resource Type:: Dissertation
Full Text:: . Guenther A nonlinear wave equation is developed, modeling the evolution in time of shallow water waves

Creator:: O'Driscoll, Kieran
Abstract:: Numerical solutions of the Korteweg-de Vries (KdV) and extended Korteweg-de Vries (eKdV) equations are used to model the transformation of a sinusoidal internal tide as it propagates across the continental shelf. The ocean is idealized as being a two-layer fluid, justified by the fact that most of the oceanic internal...
Resource Type:: Masters Thesis

Creator:: Lin, Huan
Abstract:: Stochastic analysis procedures have been recently applied to analyze nonlinear dynamical systems. In this study, nonlinear responses, stochastic and/or chaotic, are examined and interpreted from a probabilistic perspective. A multi-point-moored ocean structural system under regular and irregular wave excitations is analytically examined via a generalized stochastic Melnikov function and Markov...
Resource Type:: Dissertation
Full Text:: the nonlinear governing equation with respect to time. A large number of sample response

Creator:: White, Peter W.
Abstract:: In 1974 Davey and Stewartson used a multi-scale analysis to derive a coupled system of nonlinear partial differential equations which describes the evolution of a three dimensional wave packet in water of a finite depth. This system of equations is the closest integrable two dimensional analog of the well-known one...
Resource Type:: Dissertation

Creator:: Tieman, Henry William
Resource Type:: Masters Thesis
Full Text:: E [a, b] and F nonlinear, is a nonlinear Fredholm equation of the second kind. Very few equations

Creator:: Fadel, Suzan M.
Abstract:: The Wiggins-Holmes extension of the generalized Melnikov method (GMM) is applied to weakly damped parametrically excited cross waves with surface tension in a long rectangular wave channel in order to determine if these cross waves are chaotic. The Lagrangian density function for surface waves with surface tension is simplified by...
Resource Type:: Dissertation
Full Text:: ) prove that the evolution equation governing the cross waves is nonlinear Schrodinger equation with

Creator:: Creel, Emory Myron Willett
Abstract:: Shocked porous granular material experiences pressure dependent compaction. D. John Pastine introduced a model in which the degree of compaction is dependent on the pressure induced by the shock wave, the shear strength of the material, and the distribution of void sizes. In the past, the model could only be...
Resource Type:: Masters Thesis
Full Text:: compaction is dependent on the pressure induced by the shock wave, the shear strength of the material, and

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