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June 2001 Preprints


  • 1771     A simple proof of a result of A. Novikov
    N.V. Krylov
    [ PDF (118K) or PostScript (215K)]
  • 1772     Navier-Stokes, Fluid Dynamics, and Image and Video Inpainting
    M. Bertalmio, A.L. Bertozzi, and G. Sapiro
    [ PDF (2.5M) and no PostScript]
  • 1773     Determining functionals for random partial differential equations
    Igor Chueshov, Jinqiao Duan, and Björn Schmalfuß
    [ PDF (281K) or PostScript (515K)]
  • 1774     The hp-local discontinuous Galerkin method for low-frequency time-harmonic Maxwell's equations
    Ilaria Perugia and Dominik Schötzau
    [ PDF (402K) or PostScript (471K)]
  • 1775     Exact controllability of structural acoustic interactions
    George Avalos and Irena Lasiecka
    [ PDF (270K) or PostScript (467K)]
  • 1776     Spline subdivision schemes for compact sets with metric averages
    Nira Dyn and Elza Farkhi
    [ PDF (490K) or PostScript (868K)]
  • 1777     Nonnecrotic tumor growth and the effect of vascularization. I. Linear analysis and self-similar evolution
    Vittorio Cristini, John Lowengrub, and Qing Nie
    [ PDF (597K) and no PostScript]
  • 1778     Three-dimensional crystal growth. I. Linear analysis and self-similar evolution
    V. Cristini and J. Lowengrub
    [ PDF (1.0M) and no PostScript]
  • 1779     V. Cristini, M. Simeone, S. Guido, R. Hooper, and C.W. Macosko
    Lamellar microstructure of emulsions
    [ PDF (838K) and no PostScript]
  • 1780     Modeling multiphase flows using a novel 3D adaptive remeshing algorithm
    Russell Hooper, Vittorio Cristini, Sundeep Shakya, John S. Lowengrub, Jeffrey J. Derby, and Christopher W. Macosko
    [ PDF (817K) and no PostScript]
  • 1781     An adaptive mesh algorithm for evolving surfaces: Simulations of drop breakup and coalescence
    Vittorio Cristini, Jerzy Blawzdziewicz, and Michael Loewenberg
    [ PDF (470K) and no PostScript]
  • 1782     Critical behavior of drops in linear flows: I. Phenomenological theory for drop dynamics near critical stationary states
    Jerzy Blawzdziewicz, Vittorio Cristini, and Michael Loewenberg
    [ PDF (695K) and no PostScript]
  • 1783     Effect of inertia on drop breakup under shear
    Yuriko Y. Renardy and Vittorio Cristini
    [ PDF (271K) and no PostScript]
  • 1784     Scalings for fragments produced from drop breakup in shear flow with inertia
    Yuriko Y. Renardy and Vittorio Cristini
    [ PDF (532K) and no PostScript]
  • 1785     Drop fragment distributions under shear with inertia
    Y. Renardy, V. Cristini, and J. Li
    [ PDF (10M) and no PostScript]
  • 1786     A new volume-of-fluid formulation for surfactants and simulations of drop deformation under shear at a low viscosity ratio
    Yuriko Y. Renardy and Michael Renardy
    [ PDF ]
  • 1787     Modelling pinchoff and reconnection in a Hele-Shaw cell. Part I: The models and their calibration
    Hyeong-Gi Lee, J.S. Lowengrub, and J. Goodman
    [ PDF (595K) or PostScript (968K)]
  • 1788     Modelling pinchoff and reconnection in a Hele-Shaw cell. Part II: Analysis and simulation in the nonlinear regime
    Hyeong-Gi Lee, J.S. Lowengrub, and J. Goodman
    [ PDF (2.2M) or compressed PostScript (959K)]
  • 1789     On an elastically induced splitting instability
    P.H. Leo, J.S. Lowengrub, and Qing Nie
    [ PDF (1.4M) or compressed PostScript (477K)]
  • 1790     Measurement and numerical analysis of freezing in solutions enclosed in a small container
    Ramachandra V. Devireddy, Perry H. Leo, John S. Lowengrub, and John C. Bischof
    [ PDF (84K) and no PostScript]
  • 1791     Boundary integral methods for multicomponent fluids and multiphase materials
    T.Y. Hou, J.S. Lowengrub, and M.J. Shelley
    [ PDF (4.5M) or compressed PostScript (1.4M)]
  • 1792     Focusing of an elongated hole in porous medium flow
    S.B. Angenent, D.G. Aronson, S.I. Betelu, and J.S. Lowengrub
    [ PDF (807K) or compressed PostScript (673K)]
  • 1793     An hp-analysis of the local discontinuous Galerkin method for diffusion problems
    Ilaria Perugia and Dominik Schoetzauz
    [ PDF (228K) or PostScript (198K)]
  • 1794     Recent progress in the use of geometric integration methods in micromagnetics and rigid body dynamics
    Debra Lewis and Nilima Nigam
    [ PDF (1.5M) or compressed PostScript (1.1M)]

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