Search Constraints

Start Over
Filtering by: Creator Ohm, Robin A. Remove constraint Creator: Ohm, Robin A. Academic Affiliation Mathematics Remove constraint Academic Affiliation: Mathematics

Search Results

  • Compatible Discretizations for Maxwell's Equations with General Constitutive Laws

    Creator:
    McGregor, D. A.
    Abstract:
    In this thesis we construct compatible discretizations of Maxwell's equations. We use the term compatible to describe numerical methods for Maxwell's equations which obey many properties of vector Calculus in a discrete setting. Compatible discretizations preserve the exterior Calculus ensuring that the divergence of the curl and the curl of...
    Resource Type:
    Dissertation
    Full Text:
    AN ABSTRACT OF THE THESIS OF D. A. McGregor for the

  • Scalar field equation in the presence of signature change

    Creator:
    Dray, Tevian, Manogue, Corinne A., and Tucker, Robin W.
    Abstract:
    We consider the (massless) scalar field on a two-dimensional manifold with metric that changes signature from Lorentzian to Euclidean. Requiring a conserved momentum in the spatially homogeneous case leads to a particular choice of propagation rule. The resulting mix of positive and negative frequencies depends only on the total (conformal)...
    Resource Type:
    Article
    Full Text:
    A. Manoguet Department of Physics, Oregon State University, Corvallzs, Oregon g7881 Robin W. Tucker

  • The construction of spinor fields on manifolds with smooth degenerate metrics

    Creator:
    Schray, Jörg, Dray, Tevian, Manogue, Corinne A., Tucker, Robin W., and Wang, Charles
    Abstract:
    We examine some of the subtleties inherent in formulating a theory of spinors on a manifold with a smooth degenerate metric. We concentrate on the case where the metric is singular on a hypersurface that partitions the manifold into Lorentzian and Euclidean domains. We introduce the notion of a complex...
    Resource Type:
    Article
    Full Text:
    degenerate metrics J6rg Schray,a) Tevian Dray,b) Corinne A. Manogue,c) Robin W. Tucker,d) and Charles Wang,e

  • Optimization under Uncertainty of a Magnetohydrodynamics Generator

    Creator:
    Rajbhandari, Evan
    Abstract:
    Within this dissertation, we develop tools and techniques to demonstrate the feasibility of real-time optimization of a magnetohydrodynamics generator. To ease computational complexity, we work on the kinematic magnetohydrodynamic system, prescribing the fluid-flow and model the material response of the system through an updated Generalized Ohm’s law. We focus on...
    Resource Type:
    Dissertation
    Full Text:
    Uncertainty of a Magnetohydrodynamics Generator Abstract approved: Nathan L. Gibson Within this

  • Predicting Conductivity Within a Resistive Unsteady MHD Channel

    Creator:
    Rajbhandari, Evan
    Abstract:
    The theory behind magnetohydrodynamics (MHD) is utilized to present a 3-D solution to how the induced magnetic field changes with respect to time. Several MHD-based assump- tions are made to simplify the coupling of Maxwell’s equations with two constitutive laws and Ohm’s law. The velocity field is assumed to be...
    Resource Type:
    Technical Report
    Full Text:
    Predicting Conductivity Within a Resistive Unsteady MHD

  • Operator splitting methods for Maxwell's equations in dispersive media

    Creator:
    Keefer, Olivia A.
    Abstract:
    Accurate modeling and simulation of wave propagation in dispersive dielectrics such as water, human tissue and sand, among others, has a variety of applications. For example in medical imaging, electromagnetic waves are used to interrogate human tissue in a non-invasive manner to detect anomalies that could be cancerous. In non-destructive...
    Resource Type:
    Masters Thesis
    Full Text:
    AN ABSTRACT OF THE THESIS OF Olivia A. Keefer for the degree

  • Non-spatial and spatial models for multi-host pathogen spread in competing species : applications to barley yellow dwarf virus and rinderpest

    Creator:
    Manore, Carrie Anna
    Abstract:
    Modeling and analyzing the combined effects of disease and population dynamics is important in understanding the effects of mechanisms such as pathogen transmission and direct competition between host species on the distribution and abundance of different species in an ecological community. Mathematical analysis of such models in a spatially explicit...
    Resource Type:
    Dissertation
    Full Text:
    : Vrushali A. Bokil Modeling and analyzing the combined effects of disease and population dynamics is

  • 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:
    . SHOWALTER$ Abstract. A general porous-medium equation is uniquely solved subject to a pair of boundary

  • Persistence of Populations in Environments with an Interface

    Creator:
    Rekow, James A.
    Abstract:
    We model a fish population in a spatial region comprising a marine protected area and a fishing ground separated by an interface. The model assumes conservation of biomass density and takes the form of a reaction diffusion equation with a logistic reaction term. At the interface, in addition to continuity...
    Resource Type:
    Masters Thesis
    Full Text:
    AN ABSTRACT OF THE THESIS OF James A. Rekow for the degree

  • Investigating Provers' Understandings of Combinatorial Proof

    Creator:
    Erickson, Sarah A.
    Abstract:
    Enumerative combinatorics is an area of mathematics that is both highly accessible for students and widely applicable to other sciences and areas of mathematics (Kapur, 1970; Lockwood, Wasserman, & Tillema, 2020). One important class of problems in combinatorics is combinatorial proofs of binomial identities, which is a type of proof...
    Resource Type:
    Dissertation
    Full Text:
    AN ABSTRACT OF THE DISSERTATION OF Sarah A