73 citations · 137 across the 11 of their papers we have counts for
13 papers
Space-time resonances and high-frequency Raman instabilities in the two-fluid Euler-Maxwell system
Eric Dumas, Yong Lu, Benjamin Texier
We show that space-time resonances induce high-frequency Raman instabilities in the two-fluid Euler-Maxwell system describing laser-plasma interactions. A consequence is that the Z…
Variants of the focusing NLS equation. Derivation, justification and open problems related to filamentation
Eric Dumas, David Lannes, Jeremie Szeftel
The focusing cubic NLS is a canonical model for the propagation of laser beams. In dimensions 2 and 3, it is known that a large class of initial data leads to finite time blow-up.…
Justification of the log-KdV equation in granular chains: the case of precompression
Eric Dumas, Dmitry Pelinovsky
For travelling waves with nonzero boundary conditions, we justify the logarithmic Korteweg-de Vries equation as the leading approximation of the Fermi-Pasta-Ulam lattice with Hertz…
Impact of Metallic Interface Description on Sub-wavelength Cavity Mode Computations
Brigitte Bidégaray-Fesquet, Eric Dumas
We present a numerical study of electromagnetic reflection and cavity modes of 1D-sub-wavelength rectangular metallic gratings exposed to TM-polarized light. Computations are made…
From Newton's cradle to the discrete p-Schrödinger equation
Brigitte Bidégaray-Fesquet, Eric Dumas, Guillaume James
We investigate the dynamics of a chain of oscillators coupled by fully-nonlinear interaction potentials. This class of models includes Newton's cradle with Hertzian contact interac…
On the weak solutions to the Maxwell-Landau-Lifshitz equations and to the Hall-Magneto-Hydrodynamic equations
Eric Dumas, Franck Sueur
In this paper we deal with weak solutions to the Maxwell-Landau-Lifshitz equations and to the Hall-Magneto-Hydrodynamic equations. First we prove that these solutions satisfy some…