郝成春的个人主页 | Chengchun HAO's Homepage
研究员、博士生导师,中国科学院数学与系统科学研究院 数学研究所 | Professor, Institute of Mathematics, AMSS, CAS
中科院数学与系统科学研究院
数学研究所
偏微分方程研讨班
中科院数学与系统科学研究院
数学研究所
学术报告会
报告人:孙家伟 (首都师范大学)
题 目:Some notes on energy method for Boltzmann equations
时 间:2014年12月8日(星期一), 11:30—12:20
地 点:数学院南楼N902室
摘要:We study the initial problem for the nonlinear Boltzmann equation in a neighborhood of a Maxwellian. Firstly, we introduce the Compensating Functions method presented by Kawashima and use it to obtain a desired decay estimates for the existence of global solutions. Secondly, we present a macro-micro decomposition of the Boltzmann equation as well as the H-theorem provided by Tai-Ping Liu, etc and apply the method for the study the time-asymptotic, nonlinear stability of the global Maxwellian states. Finally, we compare the two methods by clarifying the fluid structures and dissipative structures in order to strengthen the understandings of the connection between Fluid equation and Boltzmann equation.