You are cordially invited to the Analysis Seminar organized by the Department of Mathematics.<\/p>\n
Speaker: Engin Ba\u015fako\u011flu (Institute of Mathematical Sciences, Shanghai Tech University)<\/p>\n
\u201cLocal well-posedness for the periodic Boltzmann equation with constant collision kernel\u201d<\/p>\n
Abstract: The Boltzmann equation holds fundamental importance in the kinetic theory of gases and plasmas, describing the behavior of a dilute gas of identical particles in a specific scaling limit. Recent studies by Chen, Denlinger, Pavlovic, Holmer, Shen, and Zhang have focused on the equation\u2019s well-posedness, both with and without the Wigner transform, establishing results in Euclidean spaces using methods from nonlinear dispersive PDEs. In this talk, we focus on the periodic Boltzmann equation with a constant collision kernel. We will introduce a novel Strichartz estimate that facilitates the proof of local well-posedness (LWP) for the Boltzmann equation, marking the first LWP result in the periodic case for thresholds below $d\/2$, which is the limit for energy methods.<\/p>\n
Date: Monday, February 17, 2025
\nTime: 15:40-16:40
\nPlace: ZOOM<\/p>\n
This is an online seminar. To request the zoom link, please send a message to goncha@fen.bilkent.edu.tr<\/p>\n","protected":false},"excerpt":{"rendered":"
You are cordially invited to the Analysis Seminar organized by the Department of Mathematics. Speaker: Engin Ba\u015fako\u011flu (Institute of Mathematical Sciences, Shanghai Tech University) \u201cLocal well-posedness for the periodic Boltzmann equation with constant collision kernel\u201d Abstract: The Boltzmann equation holds fundamental importance in the kinetic theory of gases and plasmas, [\u2026] <\/p>\n