Speaker: Nguyen Quoc Hung (CAS-AMSS)
Abstract: In this talk, I will present recent advances in the study of nonlinear Landau damping for the Vlasov-Poisson (VP) system, focusing on the asymptotic stability of the Poisson equilibrium under small perturbations. Building on the foundational work of Ionescu, Pausader, Wang, and Widmayer, I will introduce a new proof of nonlinear Landau damping for the 3D unscreened VP system. Our approach combines sharp decay estimates with novel decomposition techniques to demonstrate the stabilization of the particle distribution and the decay of the electric field. These results highlight the free transport-like behavior of the perturbed density and provide deeper insights into the mechanisms of Landau damping in an unconfined setting near stable equilibria.
Time: 2:00pm, Friday,December 6, 2024
Location: Room 1410 at SIMIS, Block A, No. 657 Songhu Road, Yangpu District, Shanghai