Orateur
Viviana Grasselli
(Metz)
Description
In this talk we will consider the mean-field approximation of a boson star, which is composed of a large number of gravitating bosons interacting with each other. The resulting equation is nonlinear of Schrödinger type and with a non-local convolution potential. After briefly discussing the existence of a solution, we will then present some of its dynamical properties. Indeed, since the equation is dispersive, the support of the solution spreads out in space and we will derive properties that describe how this spreading happens, in particular regarding the speed of propagation of the support. These results are a joint work with Sébastien Breteaux and Jérémy Faupin.