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Topics in the Spatially Homogeneous Boltzmann Equation

Abstract

The Boltzmann Equation is a differential-integral equation, describing how the distribution of velocities in a dilute gas evolves over time. This minicourse will focus on the spatially homogeneous case, where the theory has connections to many different areas of analysis and probability, and we will discuss aspects of the well-posedness theory, the derivation from a stochastic many-particle system, and relaxation to equilibrium.

Date and time info
Wednesdays, 14:00-15:30

Keywords
Boltzmann Equation, Kinetic Theory, Mean-Field Limits

Prerequisites
Basic knowledge of probability and analysis

lecture
01.10.22 31.01.23

Regular lectures Winter semester 2022-2023

MPI for Mathematics in the Sciences / University of Leipzig see the lecture detail pages

Katharina Matschke

MPI for Mathematics in the Sciences Contact via Mail