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MMAS
2010
Springer
13 years 4 months ago
Homogenization with Large Spatial Random Potential
We consider the homogenization of parabolic equations with large spatiallydependent potentials modeled as Gaussian random fields. We derive the homogenized equations in the limit ...
Guillaume Bal
MMAS
2010
Springer
13 years 4 months ago
Roughness-Induced Effect at Main Order on the Reynolds Approximation
Usually the Stokes equations that govern a flow in a smooth thin domain (with thickness of order ) are related to the Reynolds equation for the pressure psmooth. In this paper, we...
Didier Bresch, Catherine Choquet, Laurent Chupin, ...
MMAS
2010
Springer
13 years 4 months ago
Source Localization in Random Acoustic Waveguides
Mode coupling due to scattering by weak random inhomogeneities in waveguides leads to loss of coherence of wave fields at long distances of propagation. This in turn leads to serio...
Liliana Borcea, Leila Issa, Chrysoula Tsogka
MMAS
2010
Springer
13 years 4 months ago
An Asymptotic Analysis of the Mean First Passage Time for Narrow Escape Problems: Part I: Two-Dimensional Domains
The mean first passage time (MFPT) is calculated for a Brownian particle in a bounded two-dimensional domain that contains N small nonoverlapping absorbing windows on its boundary....
S. Pillay, Michael J. Ward, A. Peirce, Theodore Ko...
MMAS
2010
Springer
13 years 4 months ago
Markov Chain Stochastic Parametrizations of Essential Variables
We analyze the performance of the novel Markov chain stochastic modeling technique for derivation of effective equations for a set of essential variables. This technique is an empi...
K. Nimsaila, I. Timofeyev
MMAS
2010
Springer
13 years 4 months ago
Wave Transmission through Random Layering with Pressure Release Boundary Conditions
This paper considers the statistical properties of the waves generated by a point source in the subsurface and transmitted towards the surface through a randomly layered medium. Th...
Josselin Garnier, Knut Sølna
MP
2011
13 years 4 months ago
Smoothed analysis of condition numbers and complexity implications for linear programming
We perform a smoothed analysis of Renegar’s condition number for linear programming by analyzing the distribution of the distance to ill-posedness of a linear program subject to...
John Dunagan, Daniel A. Spielman, Shang-Hua Teng