Student Applied PDEs

Event Information High order modified scattering for the Vlasov-Poisson system
16:00 on Wednesday August 07, 2024
17:00 on Wednesday August 07, 2024
BA6183, Bahen Center, 40 St. George St.
Renato Velozo Ruiz
https://ravelozor.github.io/ravelozor/
University of Toronto

In this talk, I will discuss fine modified scattering properties of small data solutions to the Vlasov-Poisson system. First, I will show that the spatial density and the force field satisfy polyhomogeneous expansions of any order. As a result, we will obtain an enhanced modified scattering result for this non-linear system. I will show that the distribution function converges, with an arbitrary rate, to a regular distribution function along high order modifications to the characteristics of the linearised problem. This is joint work with Léo Bigorgne (Université de Rennes).