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Below is a chronological list of recent publications of mine.
To read the abstract of any of the following papers click the corresponding link. You can view the paper in its entirety by clicking the post script
link accompanying its abstract
- First order corrections to the homogenized eigenvalues of a periodic composite medium. The case of Neumann boundary conditions.
Preprint (with S. Moskow).
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An efficient approach to calculate current
distributions for electro-deposition of chip interconnections.
This Technical Note also appears in the IMA Preprint Series as
Preprint #1705, but
will otherwise not be submitted for publication
(with F. Santosa).
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Wavelet Based Homogenization of a 2 Dimensional Elliptic
Problem.
Preprint (with Y. Capdeboscq).
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Precise bounds for finite time blow-up of solutions to
very general one space-dimensional nonlinear Neumann problems.
To appear in Quarterly of Applied Mathematics (with K. Bryan)
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Transient behavior of solutions to a class of nonlinear boundary value
problems.
To appear in Quarterly of Applied Mathematics (with K. Bryan)
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Cloaking via change of variables for the Helmholtz Equation.
To appear in Communications on Pure and Applied Mathematics
(with R.V. Kohn, D. Onofrei and M.I. Weinstein)
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Full Range Scattering Estimates and their Application to Cloaking.
To appear in Arch. Rational Mech. Anal. (with H-M. Nguyen)
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Diffusion and Homogenization Limits with separate Scales.
To appear in SIAM Multiscale Modeling and Simulation (with N. Ben Abdallah and M. Puel)
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Approximate cloaking for the full wave equation via change of variables.
To appear in SIAM J. Math Anal. (with H-M. Nguyen)
Papers Currently in Preparation
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Elliptic estimates in composite media with smooth inclusions: an
integral equation approach. (with H. Ammari, E. Bonnetier and F. Triki)
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Some perturbation results associated with irregular
perfectly conducting inclusions. (with F. de Gournay).


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