Index Catalog // ScholarsArchive@OSU

Numerical Study of Convexity Splitting Scheme for Coupled Phase Field and Stefan Free Boundary Problems

Creator:: Bigler, Lisa A.
Abstract:: In this work, we consider a convexity splitting scheme for a coupled phase field and energy equation, a modification of Stefan problem. The Stefan problem is a free boundary value problem that models the temperature in a homogeneous multiphase medium. Each phase is modeled using a heat diffusion parabolic partial...
Resource Type:: Masters Thesis
Full Text:: Splitting Scheme for Coupled Phase Field and Stefan Free Boundary Problems Abstract approved: Malgorzata

Mathematical treatment and simulation of methane hydrates and adsorption models

Creator:: Medina, Francis Patricia
Abstract:: In this dissertation we develop mathematical treatment for two important applications: (i) evolution of methane in coalbeds with the associated phenomena of adsorption, and (ii) formation of methane hydrates in seabed. We use simplified models for (i) and (ii) since we are more interested in qualitative properties of the solutions...
Resource Type:: Dissertation
Full Text:: convergence rates of the numerical approximation which are similar to those for Stefan free boundary value

Operator Splitting for a Wildfire Model in a Heterogeneous Environment with a Surrogate Wind Velocity Field

Creator:: Pantuso, Nicholas M.
Abstract:: Living in the Pacific Northwest, we are acutely aware of the dangers posed by wildfires. Largely due to the worsening effects of climate change, this danger is only increasing. Along with causing property and economic damage to those communities affected by wildfires, exposure to the smoke generated by wildfires can...
Resource Type:: Masters Thesis

Nonlinear Degenerate Evolution Equations and Partial Differential Equations of Mixed Type

Creator:: Showalter, R. E.
Abstract:: The Cauchy problem for the evolution equation Mu’(t) + N(t,u(t)) = 0 is studied, where M and N(t,•) are, respectively, possibly degenerate and nonlinear monotone operators from a vector space to its dual. Sufficient conditions for existence and for uniqueness of solutions are obtained by reducing the problem to an...
Resource Type:: Article
Full Text:: Cauchy problem for the evolution equation Mu’(t)+ N(t,u(t))= 0 is studied, where M and N(t,. are

Diffusion in Fissured Media

Creator:: Böhm, Michael and Showalter, R. E.
Abstract:: See article for Abstract.
Resource Type:: Article
Full Text:: , and cm’x(G) is the Schauder space of functions whose derivatives of order m are HiSlder-continuous

Kaczmarz and randomized Kaczmarz method

Creator:: Abubakari, Nurideen
Resource Type:: Capstone Project
Full Text:: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1 1 INTRODUCTION Stefan Kaczmarz, (see [6, 7]) in 1937 introduced an iterative algorithm for

Elliptic-Parabolic Equations with Hysteresis Boundary Conditions

Creator:: Hornung, Ulrich and Showalter, R. E.
Abstract:: A general porous-medium equation is uniquely solved subject to a pair of boundary conditions for the trace of the solution and a second function on the boundary. The use of maximal monotone graphs for the three nonlinearities permits not only the inclusion of the usual boundary conditions of Dirichlet, Neumann,...
Resource Type:: Article
Full Text:: manifold F. See [18] for a treatment of the degenerate case a(.) 0 corresponding to a Stefan problem on the

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:: Philip M. Anselone for his encouragement during my course work. Very special thanks to my family members

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:: technique introduced by Nitsche [17] for the one phase Stefan problem. First the original free boundary

Implicit Degenerate Evolution Equations and Applications

Creator:: Di Benedetto, Emmanuele and Showalter, R. E.
Abstract:: The initial-value problem is studied for evolution equations in Hilbert space of the general form d/dt A(u) + B(u) ϶ f, where and are maximal monotone operators. Existence of a solution is proved when A is a subgradient and either is strongly monotone or B is coercive; existence is established...
Resource Type:: Article
Full Text:: "stationary" problems of the form M(u (t)) F(t), whereM is maximal monotone. But ifM is, e.g., a subgradient

ScholarsArchive@OSU

Numerical Study of Convexity Splitting Scheme for Coupled Phase Field and Stefan Free Boundary Problems

Mathematical treatment and simulation of methane hydrates and adsorption models

Operator Splitting for a Wildfire Model in a Heterogeneous Environment with a Surrogate Wind Velocity Field

Nonlinear Degenerate Evolution Equations and Partial Differential Equations of Mixed Type

Diffusion in Fissured Media

Kaczmarz and randomized Kaczmarz method

Elliptic-Parabolic Equations with Hysteresis Boundary Conditions

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

A nonlinear free boundary value problem

Implicit Degenerate Evolution Equations and Applications

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