Modul:   MAT675  PDE and Mathematical Physics

Modified scattering for small data solutions to the Vlasov-Maxwell system

Talk by Dr. Léo Bigorgne

Speaker invited by: Prof. Dr. Klaus Widmayer

Date: 03.11.22  Time: 16.00 - 18.00  Room: KOL G209

Abstract: We will capture the asymptotic behavior of the solutions to the Vlasov-Maxwell system arising from sufficiently small and regular data. Our analysis is based on vector fields methods, allowing us to exploit the null structure of the equations, and the Glassey-Strauss decomposition of the electromagnetic field. In particular, we will see that the electromagnetic field approaches, for large time, a solution to the vacuum Maxwell equations. Due to the long-range effects of the Lorentz force, the Vlasov field converges along logarithmic corrections of the linear characteristics.