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Filtering by: Creator Bodvarsson, Gudrun M. Remove constraint Creator: Bodvarsson, Gudrun M. Academic Affiliation Mathematics Remove constraint Academic Affiliation: Mathematics

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  • Solutions to some linear evolutionary systems of equations : study of the double porosity model of fluid flow in fractured rock and its applications.

    Creator:
    Bodvarsson, Gudrun M.
    Abstract:
    The present work is a study of three degenerate, linear parabolic systems of equations, each of which represents a version of the so-called double porosity model for underground fluid flows in natural fractured rock. These systems of equations together with initial and boundary conditions describe single-phase flows in fluids, slightly...
    Resource Type:
    Dissertation

  • On the theory of heat transport in a semi-infinite solid

    Creator:
    Wong, James Teng
    Abstract:
    The paper concerns itself with the problem of heat transport in a homogeneous, incompressible, isotropic, semi-infinite solid whose boundary is nonstationary. The methods of solution in the one dimensional case are discussed. Numerical examples and a method for arriving at the solutions published by Bailey and Lakin in their paper...
    Resource Type:
    Masters Thesis
    Full Text:
    AN ABSTRACT OF THE THESIS OF JAMES TENG WONG for the M. A. in Mathematics (Name) (Degree) (Major

  • Stability of convective flows in porous media

    Creator:
    Ghandour, Nabil Nassib
    Abstract:
    The stability of fluids in porous media subject to various physical and geometrical conditions is studied here. Criteria for the onset of convective motions are given in terms of critical temperature gradients or heat sources. The general method used involves the linearization of the field equations about the hydrostatic solutions...
    Resource Type:
    Dissertation
    Full Text:
    appre- ciation to his major professor, Professor Gunnar Bodvarsson, for his suggestion of the problem

  • Fractional powers of the Laplacian with application to small amplitude water waves

    Creator:
    Kiser, Terry
    Abstract:
    See pdf
    Resource Type:
    Dissertation
    Full Text:
    Bodvarsson The theory and numerical calculation of physical fields that are governed by linear partial

  • Theory of micromorphic materials and applications

    Creator:
    Park, Moon Up
    Abstract:
    A general theory of micromorphic materials was developed by Eringen for the prediction of continuum behavior of materials with inner structure, such as, granular solids, composite materials, anisotropic and polymeric fluids. Recently Eringen derived balance laws of micromorphic mechanics from a different point of view. His derivation of the master...
    Resource Type:
    Dissertation

  • Boundary layer transition

    Creator:
    Bakhshi, Vidya Sagar
    Abstract:
    Transition phenomena commonly occur in nature. These arise either due to structural or behavioral changes in the medium. Examples for these abound in all applied sciences and to mention a few of these, we have, boundary layer, elastic-plastic deformation, and shocks. The present work is devoted to the study of...
    Resource Type:
    Dissertation
    Full Text:
    : BOUNDARY LAYER TRANSITION Abstract approved: M. N. L. Nara simhan Transition phenomena commonly occur in

  • 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:
    work. I also wish to express my sincere appreciation to Professor Gunnar Bodvarsson for his many