68 citations · 88 across the 6 of their papers we have counts for
6 papers
Analysis of a time-dependent problem of mixed migration and population dynamics
Francois Castella, Philippe Chartier, Julie Sauzeau
In this work, we consider a system of differential equations modeling the dynamics of some populations of preys and predators, moving in space according to rapidly oscillating time…
Global behavior of N competing species with strong diffusion: diffusion leads to exclusion
François Castella, Sten Madec, Yvan Lagadeuc
It is known that the competitive exclusion principle holds for a large kind of models involving several species competing for a single resource in an homogeneous environment. Vario…
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…
Semiclassical resolvent estimates for Schroedinger operators with Coulomb singularities
Francois Castella, Thierry Jecko, Andreas Knauf
Consider the Schroedinger operator with semiclassical parameter h, in the limit where h goes to zero. When the involved long-range potential is smooth, it is well known that the bo…
From Bloch model to the rate equations II: the case of almost degenerate energy levels
Brigitte Bidegaray-Fesquet, Francois Castella, Eric Dumas +1
Bloch equations give a quantum description of the coupling between an atom and a driving electric force. In this article, we address the asymptotics of these equations for high fre…
Some Considerations on the derivation of the nonlinear Quantum Boltzmann Equation
D. Benedetto, F. Castella, R. Esposito +1
In this paper we analyze a system of N identical quantum particles in a weak-coupling regime. The time evolution of the Wigner transform of the one-particle reduced density matrix…