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Introduction to Kinetic Theory (Winter Semester 2020/21)

This course gives an introduction to kinetic or transport theory. Our purpose is to discuss the mathematical passage from a microscopic description of a system of particles, via a probabilistic description to a macroscopic view. An extremely broad range of mathematical techniques is used in this course. Besides mathematical modeling, we make use of statistics and probability theory, ordinary dif- ferential equations, hyperbolic partial differential equations, integral equations (and thus functional analysis) and infinite-dimensional optimization. Among the astonishing discoveries of kinetic theory are the statistical interpretation of the Second Law of Thermodynamics, induced by the Boltzmann-Grad limit, and the result that the macroscopic equations describing fluid motion (namely the Euler and Navier-Stokes equations) can be inferred from abstract geometrical properties of integral scattering operators.

Lecture: Thursday 8:00-9:30 SR 3.61
Problem class: Thursday 15:45-17:15 SR 3.61
Lecturer, Problem classes Prof. Dr. Martin Frank
Office hours: by appointment
Room 3.019 Kollegiengebäude Mathematik (20.30)
Email: martin.frank@kit.edu