Index Catalog // ScholarsArchive@OSU

Modeling Porosity: The Visco-Elastic Edition

Creator:: Holland, Eleanor
Resource Type:: Dissertation
Full Text:: : The Visco-Elastic Edition Abstract approved: Ralph E. Showalter The porosity of a visco-elastic

Multiscale analysis of saturated flow in a porous medium with an adjacent thin channel

Creator:: Morales, Fernando A.
Abstract:: This thesis contains three parts addressing the asymptotic analysis of fluid flow through fully saturated porous medium in the presence of an adjacent thin channel. In the first part the problem is modeled by Darcy's law in both the porous medium and in the channel. The permeability in the channel...
Resource Type:: Dissertation
Full Text:: goes to my advisor Ralph E. Showalter for all his guidance, dedication and patience in the academic

The Biot System with Unilateral Displacement Constraints

Creator:: Hosseinkhan, Alireza
Abstract:: A fully-saturated poroelastic medium is confined by the sides of a cylinder, and the regions below and above the medium are filled with fluid at respective constant pressures. The filtration flow of fluid through the poroelastic medium and the small deformations of the medium are described by a quasi-static Biot...
Resource Type:: Dissertation
Full Text:: regularity of the solution dependent on the data. Ralph E. Showalter ©Copyright by Alireza Hosseinkhan

Some results in probability from the functional analytic viewpoint

Creator:: Gelbaum, Zachary A.
Abstract:: This dissertation presents some results from various areas of probability theory, the unifying theme being the use of functional analytic intuition and techniques. We first give a result regarding the existence of certain stochastic integral representations for Banach space valued Gaussian random variables. Next we give a spectral geometric construction...
Resource Type:: Dissertation
Full Text:: bilinear form Cµ : B ∗ × B∗ → R given by Cµ(k, l) = E [k(X)l(X)] = ∫ B k(x)l(x) dµ(x). Any Gaussian

Stochastic analysis of flow and transport in porous media

Creator:: Vasylkivska, Veronika S.
Abstract:: Random fields are frequently used in computational simulations of real-life processes. In particular, in this work they are used in modeling of flow and transport in porous media. Porous media as they arise in geological formations are intrinsically deterministic but there is significant uncertainty involved in determination of their properties...
Resource Type:: Dissertation
Full Text:: Analysis of Flow and Transport in Porous Media. Abstract approved: Mina E. Ossiander Malgorzata S

Modeling Flow and Transport at Pore Scale with Obstructions

Creator:: Umhoefer, Joseph G.
Abstract:: In this thesis we study mathematical and computational models for phenomena of flow and transport in porous media in the presence of changing pore scale geometries. The differential equations for the flow and transport models at Darcy scale involve the coefficients of permeability, porosity, and tortuosity which depend on the...
Resource Type:: Dissertation
Full Text:: also like to thank my committee members, Dr. Robert Higdon, Dr. Adel Faridani, Dr. Ralph Showalter

On the Existence of Solutions to the Incompressible Navier-Stokes Equations with Constant Energy and Enstrophy

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:: Showalter, and Dr. Eugene Zhang. I have had two amazing mentors in graduate school, and I cannot imagine

Numerical Analysis of a System of Parabolic Variational Inequalities with Application to Biofilm Growth

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

The Stokes problem of fluid mechanics, Riesz transform, and the Helmholtz-Hodge decomposition : probabilistic methods and their representations

Creator:: Kim, HoeWoon
Abstract:: The flow of incompressible, viscous fluids in R³ is governed by the non-linear Navier-Stokes equations. Two common linearizations of the Navier-Stokes equations, the Stokes equations and the Oseen equations, are studied in this thesis using probabilistic methods. The incompressibility condition presents new challenges for the well known theory relating partial...
Resource Type:: Dissertation
Full Text:: committee members, Ed Waymire, Donald Solmon, Ralph Showalter, and Glenn Evans. Personal I wish to thank

3D cone beam reconstruction formulas for the transverse-ray transform with source points on a curve

Creator:: Wongsason, Patcharee
Abstract:: 3D vector tomography has been explored and results have been achieved in the last few decades. Among these was a reconstruction formula for the solenoidal part of a vector field from its Doppler transform with sources on a curve. The Doppler transform of a vector field is the line integral...
Resource Type:: Dissertation
Full Text:: ) = − 1 8π2 ∂x ∫ S2 θR′f(θ · x, θ)dθ. (1.2) We provide two derivations to verify the formula. The first

ScholarsArchive@OSU

Modeling Porosity: The Visco-Elastic Edition

Multiscale analysis of saturated flow in a porous medium with an adjacent thin channel

The Biot System with Unilateral Displacement Constraints

Some results in probability from the functional analytic viewpoint

Stochastic analysis of flow and transport in porous media

Modeling Flow and Transport at Pore Scale with Obstructions

On the Existence of Solutions to the Incompressible Navier-Stokes Equations with Constant Energy and Enstrophy

Numerical Analysis of a System of Parabolic Variational Inequalities with Application to Biofilm Growth

The Stokes problem of fluid mechanics, Riesz transform, and the Helmholtz-Hodge decomposition : probabilistic methods and their representations

3D cone beam reconstruction formulas for the transverse-ray transform with source points on a curve

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