33 citations · 95 across the 8 of their papers we have counts for
3 papers · 2 filters
Asymptotic analysis of the Poisson-Boltzmann equation describing electrokinetics in porous media
Gregoire Allaire, Jean-Francois Dufreche, Andro Mikelic +1
We consider the Poisson-Boltzmann equation in a periodic cell, representative of a porous medium. It is a model for the electrostatic distribution of chemical species diluted i…
A bound on group velocity for Bloch wave packets
Grégoire Allaire, Mariapia Palombaro, Jeffrey Rauch
This short note is a sequel to our previous papers on the asymptotic behavior of Bloch wave packet solutions of the wave equation in periodic media. The purpose is to prove that th…
Diffraction of Bloch Wave Packets for Maxwell's Equations
Grégoire Allaire, Mariapia Palombaro, Jeffrey Rauch
We study, for times of order 1/h, solutions of Maxwell's equations in an O(h^2) modulation of an h-periodic medium. The solutions are of slowly varying amplitude type built on Bloc…