13 citations · 56 across the 16 of their papers we have counts for
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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…
Gradient integrability and rigidity results for two-phase conductivities in dimension two
Vincenzo Nesi, Mariapia Palombaro, Marcello Ponsiglione
This paper deals with higher gradient integrability for -harmonic functions with discontinuous coefficients , i.e. weak solutions of . We focus on two-p…
Derivation of a rod theory for biphase materials with dislocations at the interface
Stefan Müller, Mariapia Palombaro
Starting from three-dimensional elasticity we derive a rod theory for biphase materials with a prescribed dislocation at the interface. The stored energy density is assumed to be n…
On a differential inclusion related to the Born-Infeld equations
Stefan Müller, Mariapia Palombaro
We study a partial differential relation that arises in the context of the Born-Infeld equations (an extension of the Maxwell's equations) by using Gromov's method of convex integr…