Conference ID: 946-6446-1219
PIN Code: 718772
The talk presents an elementary proof of the nonlinear Landau damping, that was first obtained by Mouhot and Villani for analytic data and subsequently extended by Bedrossian, Masmoudi, and Mouhot for Gevrey data, followed by a presentation of particular solutions to the classical Vlasov-Poisson system that are a combination of elementary waves with arbitrarily high frequencies. These waves mutually interact giving birth, eventually, to an infinite cascade of echoes of smaller and smaller amplitude. The echo solutions do not belong to the analytic or Gevrey classes, but do, nonetheless, exhibit damping phenomena for large times. This is a joint work with Emmanuel Grenier (ENS Lyon) and Igor Rodnianski (Princeton).
Toan Nguyen is currently an Associate Professor of Mathematics at Penn State University, having obtained his PhD from Indiana University and held postdoc positions in Paris and at Brown University. He has been a regular Visiting Professor at a number of universities in France, including Ecole Polytechnique, Paris-Sud, Paris-Diderot, ENS de Lyon, and currently a Visiting Fellow at Princeton University. He is an American Mathematical Society Centennial Fellow and a Simons Fellow in Mathematics. His research interests include Analysis of PDEs, Fluid Dynamics, Kinetic Theory, and General Relativity.
More about this topics here on speaker’s blog: https://sites.psu.edu/nguyen/2020/06/06/landau-damping-for-analytic-and-gevrey-data/?fbclid=IwAR3S5bYQpQtt44HJShnxFPl9XPOpy80RPQ6cLwGNeAUQabN270fCSA7uDOo