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  • Diffusion of Fluid in a Fissured Medium with Microstructure

    Creator:
    Showalter, R. E. and Walkington, N. J.
    Abstract:
    A system of quasilinear degenerate parabolic equations arising in the modeling of diffusion in a fissured medium is studied. There is one such equation in the local cell coordinates at each point of the medium, and these are coupled through a similar equation in the global coordinates. It is shown...
    Resource Type:
    Article
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    reservoir models for fractured media [11], [16]. An existence-uniqueness theory for linear problems which

  • 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

  • The local conservation laws of the nonlinear Schrödinger equation

    Creator:
    Barrett, Johnner
    Abstract:
    The nonlinear Schrödinger equation is a well-known partial differential equation that provides a successful model in nonlinear optic theory, as well as other applications. In this dissertation, following a survey of mathematical literature, the geometric theory of differential equations is applied to the nonlinear Schrödinger equation. The main result of...
    Resource Type:
    Dissertation
    Full Text:
    SL2(R), the spe- cial linear group of two-by-two matrices [11] and as the Euler equation for the

  • The mechanization of logic II

    Creator:
    Witcraft, Don A.
    Resource Type:
    Masters Thesis
    Full Text:
    tables -+ 01 ______ O 01 0 00 1 11 1 01. 5 It is shown in most standard textbooks on symbolic

  • 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
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    main results. We begin by reviewing information on maxi- mal monotone operators. Refer to [1], [3], [11

  • Continued fractions and the divisor at infinity on a hyperelliptic curve : examples and order bounds

    Creator:
    Daowsud, Katthaleeya
    Abstract:
    We use the theory of continued fractions over function fields in the setting of hyperelliptic curves of equation y²=f(x), with deg(f)=2g+2. By introducing a new sequence of polynomials defined in terms of the partial quotients of the continued fraction expansion of y, we are able to bound the sum of...
    Resource Type:
    Dissertation
    Full Text:
    particular, we present new families defined over Q with N = 11 and 2 ≤ g ≤ 10. c©Copyright by Katthaleeya

  • Topological and Dynamical Properties of Cyclically Presented Groups

    Creator:
    McDermott, Kirk M.
    Abstract:
    This dissertation investigates the structure and topological properties of cyclicallypresented groups. First, a family of groups called groups of type Z is considered. Withfew exceptions, the finiteness, asphericity, fixed point, and 3-manifold spine problemsare solved. Most groups of type Z have a central element of infinite order fixed by theshift....
    Resource Type:
    Dissertation
    Full Text:
    �niteness and shift dynamics [4]. The earliest example of composite words we are aware of is [56], and [11

  • Using Euclidean Geometry to Construct Objects in the Elliptic Klein Disk

    Creator:
    Connolly, Genevieve
    Abstract:
    Constructions using only a straightedge and compass are basic tools in any geometer's toolbox. We show how to construct an elliptic straightedge and compass in the Klein Disk model of (single) elliptic geometry, using only a Euclidean compass and straightedge.
    Resource Type:
    Research Paper
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    intersect in one point. Connolly 11 Figure 4: In the spherical model of double elliptic

  • 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:
    . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 4. RESULTS

  • The enumeration of strings of a given length in an n-ary non-associative non-commutative algebra

    Creator:
    Klosinski, Leonard Frank
    Abstract:
    In his book on abstract algebra, Nathan Jacobson poses and solves the problem of finding the number of ways of inserting parentheses in a string of given length with binary operators. We continue the work of Jacobson and go beyond it in that we no longer consider one binary operator...
    Resource Type:
    Masters Thesis
    Full Text:
    for k are permissable, but which are? 11 An n-ary operator requires n elements on which to