Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	Klaus Widmayer，University of Zurich
Inviter:	Quoc-Hung Nguyen
Title:	On the stability of a point charge for the Vlasov-Poisson system
Time & Venue:	2022.09.22 21:00-22:00 Zoom ID: 924 888 5804 Passcode: AMSS2022
Abstract:	Join Zoom Meeting : https://us06web.zoom.us/j/9248885804?pwd=OXg2VDhBT0pxRkd1Z3RJS0NFMnRDdz09 A Dirac mass is a particularly simple yet relevant equilibrium of the (repulsive) Vlasov-Poisson equations. This talk addresses the question of its stability in the repulsive setting: we capture the precise asymptotic dynamics of solutions which start as small, smooth and suitably localized perturbations of a point charge. Our analysis builds on the Hamiltonian/symplectic structure of the equations, and makes use of an exact integration of the linearized equation through angle-action coordinates. This allows us to obtain optimal decay estimates and reveals a modified scattering dynamic. This is joint work with Jiaqi Yang (ICERM) and Benoit Pausader (Brown University).