Index Catalog // ScholarsArchive@OSU

Electro-magneto-hydrodynamics : the processes of electric arc steelmaking

Creator:: King, Paul E. (Paul Everson), 1962-
Abstract:: Because of competition from abroad, the U. S. Steel industry has begun research into the processes involved with electric arc steelmaking. This paper addresses the mathematical background of these furnaces and the electro-magneto- hydrodynamical effects used to melt the large quantities of steel. A classical approach to the derivation of...
Resource Type:: Masters Thesis
Full Text:: electric arc steelmaking AN ABSTRACT OF THE THESIS OF Paul E. King for the degree of Master of Science

A study of unique factorization in quadratic integral domains

Creator:: Van Enkevort, Ronald Lee
Abstract:: This thesis studies the question of unique factorization in quadratic integral domains. In the first chapter many general theorems and definitions from algebraic number theory are introduced. The second chapter considers an integral domain in which unique factorization holds. The necessary theorems to prove unique factorization are developed. The third...
Resource Type:: Masters Thesis
Full Text:: Domains AN ABSTRACT OF THE THESIS OF Ronald Lee Van Enkevort for the M. S. in Mathematics (Name

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:: with Principal Part in Divergence Form Abstract approved: Ronald B. Guenther In this dissertation I

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

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:: Abstract approved: Professor Ronald B. Guenther The study of water movement in unsaturated soils by

Initial and boundary value problem for a third order differential equation of parabolic type

Creator:: Al-Ayat, Rokaya Abdel-Ghani
Abstract:: See pdf
Resource Type:: Dissertation
Full Text:: approved: Ronald B. Guenther The third order parabolic differential operator 3 aiu auLu a.(x, t) . - at

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:: Equation and its Classical Solutions of the Cauchy Problem. Abstract Approved: Professor Ronald B

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:: approved: Ronald B. Guenth Redacted for Privacy distributions in the unfrozen phase, and (III) the

Classical implicit finite difference method for solving diffusion equation

Creator:: Lee, Martina Shoiw-ling
Abstract:: This thesis introduces a technique for approximating to a desired degree of accuracy a linear parabolic equation of two spatial dimensions with given initial data and prescribed boundary conditions. The technique is generalized to non-linear parabolic equations. It is stable for all mesh ratios, and it is second order accurate...
Resource Type:: Masters Thesis
Full Text:: Privacy Professor Ronald B. Guenther( This thesis introduces a technique for approximating to a de

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:: Rigid Body in Exterior Stokes and Oseen Flows Abstract approved- Ronald B. Guenther This paper is

ScholarsArchive@OSU

Electro-magneto-hydrodynamics : the processes of electric arc steelmaking

A study of unique factorization in quadratic integral domains

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 nonlinear free boundary value problem

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

Initial and boundary value problem for a third order differential equation of parabolic type

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

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

Classical implicit finite difference method for solving diffusion equation

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

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