Landau damping in the weakly collisional regime
Người báo cáo: Giáo sư Nguyễn Trọng Toán (Khoa Toán-Đại học Penn State, Mỹ)

Thời gian: 9h30-10h45, ngày 21/09/2021

Zoom link: https://psu.zoom.us/j/98970597232

Abstract: This talk is to present a recent joint work with Sanchit Chaturvedi and Jonathan Luk (both from Stanford University), where the nonlinear Landau damping and enhanced dissipation were established for a threshold of Sobolev data near Maxwellians in the weakly collisional plasmas modeled by the physical Vlasov-Poisson-Landau system with Coulomb interaction, a fundamental model that is widely used in plasma physics. This provides an analytical framework to capture mixing and entropic relaxation, a method that combines several classical ideas including Guo's weighted energy method to treat collisional kinetic models, Villani's hypocoercive energy method to make use of the interplay between phase mixing and entropic relaxation, and Klainerman's vector field method to derive uniform decay estimates that respect the underlying symmetry in the physical systems.

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