10-04【Chaoen Zhang 】五教5305 Geometry&Probability Seminar系列讲座之03

时间:2022-09-30

题目: Entropy Production and Hypocoercivity for the Langevin Equation


报告人: Chaoen Zhang (哈尔滨工业大学)


摘要:The production of entropy is an essential feature of diffusive or collisional kinetic models. In many cases of interest linear inequalities between the entropy and entropy production functional have been proved or expected, and they are usually referred to as entropy-entropy production inequalities(EEP inequalities in short). As is well known, such inequalities can imply quantitative rate of convergence in the sense of entropy. I will start with some classical entropy-entropy production inequalities(for the Boltzmann equation or Ornstein-Uhlenbeck process). Then I will discuss the long time behaviour in entropy of the Langevin diffusion. Partly based on a joint work with Patrick Cattiaux, Arnaud Guillin and Pierre Monmarché.


时间:10月4日(周二)下午 4:00-5:00 


地点:五教5305