Publications (7)
On a constrained 2-D Navier-Stokes equation
E. Caglioti, M. Pulvirenti, F. Rousset
The planar Navier-Stokes equation exhibits, in absence of external forces, a trivial asymptotics in time. Nevertheless the appearence of coherent structures suggests non-trivial in…
The evolution of wealth transmission in human populations: a stochastic model
G. Augustins, L. Etienne, J-B. Ferdy +4
Reproductive success and survival are influenced by wealth in human populations. Wealth is transmitted to offsprings and strategies of transmission vary over time and among populat…
2-D constrained Navier-Stokes equation and intermediate asymptotics
E. Caglioti, M. Pulvirenti, F. Rousset
We introduce a modified version of the two-dimensional Navier-Stokes equation, preserving energy and momentum of inertia, which is motivated by the occurrence of different dissipat…
Transverse nonlinear instability for two-dimensional dispersive models
F. Rousset, N. Tzvetkov
We present a method to prove nonlinear instability of solitary waves in dispersive models. Two examples are analyzed: we prove the nonlinear long time instability of the KdV solita…
Geometric optics and boundary layers for Nonlinear Schrodinger equations
D. Chiron, F. Rousset
We justify supercritical geometric optics in small time for the defocusing semiclassical Nonlinear Schrodinger Equation for a large class of non-necessarily homogeneous nonlinearit…
A simple criterion of transverse linear instability for solitary waves
F. Rousset, N. Tzvetkov
We prove an abstract instability result for an eigenvalue problem with parameter. We apply this criterion to show the transverse linear instability of solitary waves on various exa…