Browsing Math Technical Report Series by Issue Date

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  • Heidari, A.H.; Braun, Richard J.; Hirsa, A. H.; Snow, S.A.; Naire, S. (Department of Mathematical Sciences, 2001)
    The drainage of a thin liquid film with an insoluble monolayer down a vertical wall is studied. Lubrication theory is used to develop a model where the film is pinned at the top with a given thickness and the film drains ...
  • Rossi, Louis F. (2001)
    A new high order Lagrangian method uses moving basis functions to represent the moisture content in an unsaturated porous material. The basis functions are localized elliptical Gaussians that can move, spread, elongate ...
  • Debisschop, C.A.; Braun, Richard J.; Snow, S.A. (Department of Mathematical Sciences, 2001-09-12)
    We study the evolution of a Newtonian free surface of a thin film above a solid wall. We consider the case in which the horizontal solid is covered by a non-wetting fluid and an insoluble monolayer of surfactant is present ...
  • Perugia, I.; Schötzau, D.; Monk, Peter B. (Department of Mathematical Sciences, 2002)
    We propose stabilized interior penalty discontinuous Galerkin methods for the indefinite time–harmonic Maxwell system. The methods are based on a mixed formulation of the boundary value problem chosen to provide control ...
  • Cakoni, Fioralba; Colton, David; Monk, Peter B. (Department of Mathematical Sciences, 2002)
    We consider the direct and inverse scattering problems for partially coated obstacles. To this end, we first use the method of integral equations of the first kind to solve a scattering problem for the Helmholtz equation ...
  • Rossi, Louis F.; Inyang, H. I.; Graham-Eagle, J.; Pennell, S. (Department of Mathematical Sciences, 2002)
    The design of repository seals for deeply buried high-level radioactive wastes incorporates densely compacted clayey barriers around metallic waste canisters. In this paper, a mathematical model that is based on conservation ...
  • Monk, Peter B. (Department of Mathematical Sciences, 2002)
    The time harmonic Maxwell's equations for a lossless medium are neither elliptic or definite. Hence the analysis of numerical schemes for these equations presents some unusual difficulties. In this paper we give a simple ...
  • Hsiao, George C.; Monk, Peter B.; Nigam, N. (Department of Mathematical Sciences, 2002)
    In 1996 Hazard and Lenoir suggested a variational formulation of Maxwell's equations using an overlapping integral equation and volume representation of the solution. They suggested a numerical scheme based on this ...
  • Chen, X.; Li, Wenbo (Department of Mathematical Sciences, 2002)
    Let the Gaussian process Xm(t) be the m-fold integrated Brownian motion for positive integer m. The Laplace transform of the quadratic functional of Xm(t) is found by using an appropriate self-adjoint integral operator. ...
  • Chandler, D.B.; Xiang, Qing (Department of Mathematical Sciences, 2002)
    By modifying the constructions in [10] and [15], we construct a family of cyclic ((q 3k − 1)/(q − 1), q − 1, q 3k − 1 , q 3k − 2 ) relative difference sets, where q = 3 e . These relative difference sets are “liftings” ...
  • Chandler, D.B.; Xiang, Qing (Department of Mathematical Sciences, 2002)
    Using the Smith normal forms of the symmetric designs associated with the HKM and Lin difference sets, we show that not only are these two families of difference sets inequivalent, but also that the associated symmetric ...
  • Chen, X.; Li, Wenbo (Department of Mathematical Sciences, 2002)
    Suppose that g(t) and Wt are independent Brownian motions starting from g(0) = W0 = 0. Consider the Brownian motion Yt re ected on g(t), obtained from Wt by the means of the Skorohod lemma. The upper and lower limiting ...
  • Fiedler, F.; Leung, K.H.; Xiang, Qing (Department of Mathematical Sciences, 2002)
    We study the problem of determining the largest d of a non-Denniston max-imal arc of degree 2 d generated by a { p, 1 } -map in PG(2, 2 m ) via a recent construction of Mathon [M]. On one hand, we show that there are { ...
  • Li, Wenbo (Department of Mathematical Sciences, 2002)
    Consider the first exit time, ˝D of a (d + 1)-dimensional Brownian motion from an unbounded open domain D = (x; y) 2 R d+1 : y > f(x); x 2 R d starting at (x0; f(x0) + 1) 2 R d+1 for some x0 2 R d , where ...
  • Braun, Richard J.; Fitt, A.D. (Department of Mathematical Sciences, 2002)
    We study the drainage of the precorneal tear lm in humans. A uid dynamic model for the drainage of the aqueous layer is developed that includes the effects of evaporation and gravity. The model may be reduced to a ...
  • Li, Wenbo; Linde, W. (Department of Mathematical Sciences, 2002)
    Let X = (X(t))t 2 T be a symmetric {stable, 0 < < 2, process with paths in the dual E of a certain Banach space E. Then there exists a (bounded, linear) operator u from E into some L (S; ˙) generating X in a canonical ...
  • van der Mee, C.V.M.; Nashed, M.Z.; Seatzu, S. (Department of Mathematical Sciences, 2002)
    Sufficient conditions are established in order that, for a fixed infinite set of sampling points on the full line, a function satisfies a sampling theorem on a suitable closed subspace of a unitarily translation invariant ...
  • Cakoni, Fioralba; Colton, David (Department of Mathematical Sciences, 2002)
    The linear sampling method is an algorithm for solving the inverse scattering problem for acoustic and electromagnetic waves. There are two versions of the linear sampling method. Although the second version is on a firm ...
  • Edwards, David A.; Jackson, S.A. (Department of Mathematical Sciences, 2002)
    One device used to measure rate constants is the IAsys, and the flow in such a device can be modeled as stagnation point flow. Due to the special nature of the flow, the effects of transport on a surface reaction near a ...
  • Naire, S.; Braun, Richard J.; Snow, S.A. (Department of Mathematical Sciences, 2002-05-09)
    A 2 + 1 dimensional mathematical model is constructed to study the evolution of a vertically-oriented thin, free liquid film draining under gravity when there is an insoluble surfactant, with finite surface viscosity, on ...

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