73 citations · 137 across the 11 of their papers we have counts for
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math.AP2010
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…
math.AP2010★ 27 cited
Geometric optics and instability for NLS and Davey-Stewartson models
Rémi Carles, Eric Dumas, Christof Sparber
We study the interaction of (slowly modulated) high frequency waves for multi-dimensional nonlinear Schrodinger equations with gauge invariant power-law nonlinearities and non-loca…
math.AP2010
Cauchy problem and quasi-stationary limit for the Maxwell-Landau-Lifschitz and Maxwell-Bloch equations
Eric Dumas, Franck Sueur
In this paper we continue the investigation of the Maxwell-Landau-Lifschitz and Maxwell-Bloch equations. In particular we extend some previous results about the Cauchy problem and…