Index Catalog // ScholarsArchive@OSU

A nonlinear shallow water wave equation and its classical solutions of the cauchy problem

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:: AN ABSTRACT OF THE THESIS OF John A. Crow for the degree of

Noether-type theorems for the generalized variational principle of Herglotz

Creator:: Georgieva, Bogdana A.
Abstract:: The generalized variational principle of Herglotz defines the functional whose extrema are sought by a differential equation rather than an integral. It reduces to the classical variational principle under classical conditions. The Noether theorems are not applicable to functionals defined by differential equations. For a system of differential equations derivable...
Resource Type:: Dissertation

A nonlinear free boundary value problem

Creator:: Kharab, Abdelwahab
Abstract:: We discuss a mathematical model arising in the filtration of a fluid through a porous medium. The model leads to a free boundary value problem whose governing equation depends on the retention function. A numerical approximation by means of finite elements is used to present an existence and uniqueness theorem...
Resource Type:: Dissertation
Full Text:: VALUE PROBLEM Abstract approved: Ronald Be Guenther We discuss a mathematical model arising in the

The existence and uniqueness of solutions in a weighted Sobolov space for an initial-boundary problem of a degenerate parabolic equation with principal part in divergence form

Creator:: Lee, Hanku
Resource Type:: Dissertation
Full Text:: Solutions in a Weighted Sobolov Space for an Initial-Boundary Problem of a Degenerate Parabolic Equation

A free boundary value problem modeling streambed erosion

Creator:: Helfenstein, Franz Hugo
Abstract:: Our purpose is twofold, to derive a 2-dimensional model of streambed erosion and to develop a solution procedure to solve the equations of our model. The flow domain, which varies in time, is bounded above by a free surface and is bounded below by an erodable streambed. An initial flow...
Resource Type:: Dissertation
Full Text:: degree of Doctor of Philosophy in Mathematics presented on May 1. 1986. Title: A Free Boundary Value

A topological approach to dry friction and nonlinear beams

Creator:: Senkyrik, Martin
Abstract:: Topological results are applied to boundary value problems modeling nonlinear beams and dry friction. A classical continuation theorem is used to prove existence results for nonlinear beams. Unified proofs, where possible, are given for all the physically relevant boundary conditions. Integration techniques and various integral inequalities are used to prove...
Resource Type:: Dissertation

The violin's sound : a mathematical exploration employing principles of continuum mechanics and numerical methods

Creator:: Gyde, Nina J.
Abstract:: This thesis explores the vibrational behavior of the main components of sound production in the violin using a continuum mechanics approach. The author provides a mathematical description of the regions in the vibrating continuum, and begins to develop a system of equations governing their behavior, focusing on the air in...
Resource Type:: Masters Thesis
Full Text:: of Arts in Mathematics presented on June 3, 2003. Title: The Violin's Sound: A Mathematical

Computation of the stresses on a rigid body in exterior stokes and oseen flows

Creator:: Schuster, Markus
Abstract:: This paper is about the computation of the stresses on a rigid body from a knowledge of the far field velocities in exterior Stokes and Oseen flows. The surface of the body is assumed to be bounded and smooth, and the body is assumed to move with constant velocity. We...
Resource Type:: Masters Thesis
Full Text:: Master of Science in Mathematics presented on June 11, 1998. Title: Computation of the Stresses on a

A predictor-corrector method for solving the diffusion equation for water movement in unsaturated soil

Creator:: Ng, Benedict Loil-Chong
Abstract:: The study of water movement in unsaturated soils by using appropriate diffusion equations has attracted considerable attention in recent years. In this study, a numerical technique is developed for solving a generalized, dimensionless diffusion equation by the use of a digital. computer. Diffusivity and capillary conductivity equations derived by Brooks...
Resource Type:: Masters Thesis
Full Text:: A redictor-corrector method for solving the diffusion

Nonlinear free boundary problems arising from soil freezing in a bounded region

Creator:: Mohamed, Fouad Abd El-Aal
Abstract:: Changes of density occur naturally in phase transition processes and introduce the bulk movement of material. It is customary in analyzing such problems to disregard this unpleasant complication and assume the densities to be equal. However, such changes are unavoidable and for one-dimensional problems the complexities introduced by this bulk...
Resource Type:: Dissertation
Full Text:: PROBLEMS ARISING FROM SOIL FREEZING IN A BOUNDED REGION Changes of density occur naturally in phase

ScholarsArchive@OSU

A nonlinear shallow water wave equation and its classical solutions of the cauchy problem

Noether-type theorems for the generalized variational principle of Herglotz

A nonlinear free boundary value problem

The existence and uniqueness of solutions in a weighted Sobolov space for an initial-boundary problem of a degenerate parabolic equation with principal part in divergence form

A free boundary value problem modeling streambed erosion

A topological approach to dry friction and nonlinear beams

The violin's sound : a mathematical exploration employing principles of continuum mechanics and numerical methods

Computation of the stresses on a rigid body in exterior stokes and oseen flows

A predictor-corrector method for solving the diffusion equation for water movement in unsaturated soil

Nonlinear free boundary problems arising from soil freezing in a bounded region

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