报告题目：Geometric Perturbation Theory for the Boltzmann Equation
报 告 人：Alexander Grigo (University of Oklahoma)

报告时间：2023年7月26日（星期三） 上午10:00-11:00

报告地点：海山楼A1101

校内联系人：曹杨 教授

报告摘要：A central result of kinetic theory is the derivation of the equations of motion for macroscopic properties of gasses, e.g. density. We will start with the Boltzmann equation as a model of a gas and our goal is to derive hydrodynamic equations. The standard method uses a series expansion which results in the Navier-Stokes equations appearing as a higher order correction to the Euler equations. In this talk we will describe a geometric perturbation method which avoids the Euler equations as an intermediate step and obtains directly the Navier-Stokes equations. We will also show how this method can be used to analyze kinetic models of granular materials. The presentation should be accessible to graduate students.

报告人简介：Alexander Grigo obtained his Ph.D. in mathematics from the Georgia Institute of Technology in 2009. After a 3 year post-doctoral fellowship at the Fields institute and the university of Toronto he joined the faculty at the department of mathematics at the university of Oklahoma. His research interests are in statistical properties of deterministic and random dynamical systems, kinetic theory, and related problems in statistical physics.