Lukas Hauger
(Advisor: Prof. Michael Loss)
will defend a master’s thesis entitled,
Decay of Entropy and Information of multidimensional Kac Models coupled to large systems
On
Tuesday, November 23 at 9:00 a.m.
BlueJeans: https://bluejeans.com/976233951/0823
Abstract
We study the approach to equilibrium in relative entropy of systems of gas particles modeled via the Kac master equation in arbitrary dimensions. First, we study the Kac system coupled to a thermostat, and secondly connected to a heat reservoir. The use of the Fisher-information allows simple proofs with weak regularity assumptions. As a result, we obtain exponential decay rates for the entropy and information that are essentially independent of the size of the systems.
Committee
• Prof. Michael Loss – School of Mathematics, Georgia Institute of Technology (Advisor)
• Prof. Federico Bonetto – School of Mathematics, Georgia Institute of Technology
• Prof. Rudolf Hilfer – Institute for Computational Physics, University of Stuttgart