73 citations · 137 across the 11 of their papers we have counts for
11 papers · 1 filter
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…
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…
Hysteresis for ferromagnetism: asymptotics of some 2-scale Landau-Lifshitz model
Eric Dumas, Stéphane Labbé
We study a 2-scale version of the Landau-Lifshitz system of ferromagnetism, introduced by Starynkevitch to modelize hysteresis: the response of the magnetization is fast compared t…
High frequency behaviour of the Maxwell-Bloch model with relaxations: convergence to the Schrödinger-Boltzmann system
François Castella, Eric Dumas
We study the Maxwell-Bloch model, which describes the propagation of a laser through a material and the associated interaction between laser and matter (polarization of the atoms t…