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Browsing Faculty Research Publications (Mathematics) by Title

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Browsing Faculty Research Publications (Mathematics) by Title

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  • Klein, Viviane; Peszynska, Malgorzata (Hindawi Publishing Corporation, 2012)
    Double-diffusion model is used to simulate slightly compressible fluid flow in periodic porous media as a macro-model in place of the original highly heterogeneous micro-model. In this paper, we formulate an adaptive two ...
  • Ramirez, Jorge M.; Thomann, Enrique A.; Waymire, Edward C. (Institute of Mathematical Statistics, 2013-11)
    This article concerns a systemic manifestation of small scale interfacial heterogeneities in large scale quantities of interest to a variety of diverse applications spanning the earth, biological and ecological science ...
  • Banks, H. T.; Bokil, V. A.; Gibson, N. L. (Wiley InterScience, 2009-07)
    We study the stability properties of, and the phase error present in, a finite element scheme for Maxwell’s equations coupled with a Debye or Lorentz polarization model. In one dimension we consider a second order form ...
  • Albrecher, H.; Constantinescu, C.; Thomann, E. (Elsevier, 2012-11)
    We consider a renewal jump diffusion process, more specifically a renewal insurance risk model with investments in a stock whose price is modeled by a geometric Brownian motion. Using Laplace transforms and regular varia ...
  • Kovchegov, Yevgeniy; Michalowski, Nicholas (American Mathematical Society, 2013-12)
    See article for Abstract.
  • Walsh, Mark (American Mathematical Society, 2013-07)
    Let X and Y be a pair of smooth manifolds, each obtainable from the other by surgery in codimension at least three. We show that the corresponding spaces Riem⁺(X) and Riem⁺(Y), respectively consisting of Riemannian me ...
  • Arnoux, Pierre; Schmidt, Thomas A. (American Institute of Mathematical Sciences, 2014-11)
    We compare two families of continued fractions algorithms, the symmetrized Rosen algorithm and the Veech algorithm. Each of these algorithms expands real numbers in terms of certain algebraic integers. We give explici ...
  • Schray, Jorg; Dray, Tevian; Manogue, Corinne A.; Tucker, Robin W.; Wang, Charles (American Institute of Physics, 1996-08)
    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 m ...
  • Calta, Kariane; Schmidt, Thomas A. (Australian Mathematical Publishing Association Inc., 2013-02-07)
    We give continued fraction algorithms for each conjugacy class of triangle Fuchsian group of signature (3, n, ∞), with n ≥ 4. In particular, we give an explicit form of the group that is a subgroup of the Hilbert modu ...
  • Hickethier, Don; Dray, Tevian (Springer, 2012-01)
    The degenerate nature of the metric on null hypersurfaces makes it difficult to define a covariant derivative on null submanifolds. Recent approaches using decomposition to define a covariant derivative on null hypersurf ...
  • Petsche, Clayton (Cambridge University Press, 2012-11)
    Given a number field K, we consider families of critically separable rational maps of degree d over K possessing a certain fixed-point and multiplier structure. With suitable notions of isomorphism and good reduction bet ...
  • Geredeli, Pelin G.; Webster, Justin T. (Springer, 2013-12-01)
    We analyze the convergence to equilibrium of solutions to the nonlinear Berger plate evolution equation in the presence of localized interior damping (also referred to as geometrically constrained damping). Utilizing t ...
  • Davies, Paul C. W.; Dray, Tevian; Manogue, Corinne A. (American Physical Society, 1996-04-15)
    We derive conditions for rotating particle detectors to respond in a variety of bounded spacetimes and compare the results with the folklore that particle detectors do not respond in the vacuum state appropriate to the ...
  • Wangberg, Aaron; Dray, Tevian (AIP Publishing LLC, 2013-08)
    The process of complexification is used to classify Lie algebras and identify their Cartan subalgebras. However, this method does not distinguish between real forms of a complex Lie algebra, which can differ in signature ...
  • Zeng, Wei; Guo, Ren; Luo, Feng; Gu, Xianfeng (Elsevier, 2012-07)
    The Laplace-Beltrami operator of a smooth Riemannian manifold is determined by the Riemannian metric. Conversely, the heat kernel constructed from the eigenvalues and eigenfunctions of the Laplace-Beltrami operator de ...
  • Dray, Tevian; Kulkarni, Ravi; Samuel, Joseph (American Institute of Physics, 1989-06)
    In four dimensions, two metrics that are conformally related define the same Hodge dual operator on the space of two‐forms. The converse, namely, that two metrics that have the same Hodge dual are conformally related, is ...
  • Petsche, Clayton; Szpiro, Lucien; Tucker, Thomas J. (American Mathematical Society, 2012-04)
    See article for abstract.
  • Dray, Tevian (American Institute of Physics, 1996-11)
    We discuss Einstein’s field equations in the presence of signature change using variational methods, obtaining a generalization of the Lanczos equation relating the distributional term in the stress tensor to the discont ...
  • Lasiecka, Irena; Webster, Justin (American Institute of Mathematical Sciences, 2014-09)
    We address the long-time behavior of a non-rotational von Karman plate in an inviscid potential flow. The model arises in aeroelasticity and models the interaction between a thin, nonlinear panel and a flow of gas in whi ...
  • Chueshov, Igor; Lasiecka, Irena; Webster, Justin T. (Elsevier, 2013-02-15)
    We consider the well-posedness of a model for a flow-structure interaction. This model describes the dynamics of an elastic flexible plate with clamped boundary conditions immersed in a supersonic flow. A perturbed wave ...

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