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Preprints

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2001
Title Author
Invariant manifolds for stochastic partial differential equations Jinqiao Duan, Kening Lu, and Björn Schmalfuss
On some multiple hypergeometric functions of several matrix arguments Lalit Mohan Upadhyaya and H.S. Dhami
Dynamics of a coupled atmosphere-ocean model Hongjun Gao and Jinqiao Duan
On regularity of stationary Stokes and Navier-Stokes equations near boundary Kyungkeun Kang
Matrix generalizations of multiple hypergeometric functions Lalit Mohan Upadhyaya and H.S. Dhami
Analysis of a fully discrete finite element method for the phase field model and approximation of its sharp interface limits Xiaobing Feng and Andreas Prohl
Dynamics of quasi-geostrophic fluid motions with rapidly oscillating Coriolis force Hongjun Gao and Jinqiao Duan
Euler, Jacobi, and missions to comets and asteroids Michael Efroimsky
Geometric integration algorithms on homogeneous manifolds Debra Lewis and Peter J. Olver
A uniqueness theorem of the 3-dimensional acoustic scattering problem in a shallow ocean with a fluid-like seabed Robert P. Gilbert and Miao-jung Ou
Digital inpainting based on the Mumford-Shah-Euler image model Selim Esedoglu and Jianhong Shen
Stabilized interior penalty methods for the time-harmonic Maxwell equations I. Perugia, D. Schötzau, and P. Monk
Examinations on a Three-Dimensional Differentiable Vector Field That Equals its Own Curl Biao Ou
A generalization of Helgason's support theorem Takashi Takiguchi
Dynamics of the thermohaline circulation under wind forcing Hongjun Gao and Jinqiao Duan
Enstrophy dynamics of stochastically forced large-scale geophysical flows Dirk Blömker, Jinqiao Duan, and Thomas Wanner
Wavelet-Domain Reconstruction of Lost Blocks in Wireless Image Transmission and Packet-Switched Networks Shantanu D. Rane, Jeremiah Remus, and Guillermo Sapiro
On the Hölder continuity of solutions of a certain system related to Maxwell's equations KyungKeun Kang and Seick Kim
Finite-difference quasi-P traveltimes for anisotropic media Jianliang Qian and William W. Symes
On a nonlinear partial differential equation arising in Magnetic Resonance Electrical Impedance Tomography Sungwhan Kim, Ohin Kwon, Jin Keun Seo, and Jeong-Rock Yoon
Interferometric GPS ambiguity resolution T. Craig Poling and Aleksandar Zatezalo
Ghost symmetries Peter J. Olver, Jan A. Sanders, and Jing Ping Wang
Wave focusing on the line Tuncay Aktosun and James H. Rose
Numerical analysis of the Cahn-Hilliard equation and approximation for the Hele-Shaw problem, Part II: Error analysis and convergence of the interface Xiaobing Feng and Andreas Prohl
Numerical analysis of the Cahn-Hilliard equation and approximation for the Hele-Shaw problem, Part I: Error analysis under minimum regularities Xiaobing Feng and Andreas Prohl
An adaptive finite-difference method for traveltimes and amplitudes Jianliang Qian and William W. Symes
The initial functions in a subdivision scheme Bin Han
Computing the smoothness exponent of a symmetric multivariate refinable function Bin Han
Recent progress in the use of geometric integration methods in micromagnetics and rigid body dynamics Debra Lewis and Nilima Nigam
An hp-analysis of the local discontinuous Galerkin method for diffusion problems Ilaria Perugia and Dominik Schoetzauz
Focusing of an elongated hole in porous medium flow S.B. Angenent, D.G. Aronson, S.I. Betelu, and J.S. Lowengrub
Boundary integral methods for multicomponent fluids and multiphase materials T.Y. Hou, J.S. Lowengrub, and M.J. Shelley
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
On an elastically induced splitting instability P.H. Leo, J.S. Lowengrub, and Qing Nie
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
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
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
Drop fragment distributions under shear with inertia Y. Renardy, V. Cristini, and J. Li
Scalings for fragments produced from drop breakup in shear flow with inertia Yuriko Y. Renardy and Vittorio Cristini
Effect of inertia on drop breakup under shear Yuriko Y. Renardy and Vittorio Cristini
Critical behavior of drops in linear flows: I. Phenomenological theory for drop dynamics near critical stationary states Jerzy Blawzdziewicz, Vittorio Cristini, and Michael Loewenberg
An adaptive mesh algorithm for evolving surfaces: Simulations of drop breakup and coalescence Vittorio Cristini, Jerzy Blawzdziewicz, and Michael Loewenberg
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
V. Cristini, M. Simeone, S. Guido, R. Hooper, and C.W. Macosko Lamellar microstructure of emulsions
Three-dimensional crystal growth. I. Linear analysis and self-similar evolution V. Cristini and J. Lowengrub
Nonnecrotic tumor growth and the effect of vascularization. I. Linear analysis and self-similar evolution Vittorio Cristini, John Lowengrub, and Qing Nie
Spline subdivision schemes for compact sets with metric averages Nira Dyn and Elza Farkhi
Exact controllability of structural acoustic interactions George Avalos and Irena Lasiecka
The hp-local discontinuous Galerkin method for low-frequency time-harmonic Maxwell's equations Ilaria Perugia and Dominik Schötzau
Determining functionals for random partial differential equations Igor Chueshov, Jinqiao Duan, and Björn Schmalfuß

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