报告人：王勇(中科院数学与系统科学研究院、助理研究员)

报告一：

题目：Global well-posedness for the Boltzmann equation with a class of large amplitude data

摘要：In this talk, I will show you some recent results about the global well-posedness of Boltzmann equation with a class of large-amplitude initial data. This is based on several works joint with R.J. Duan, F.M. Huang, T. Yang and Z. Zhang.

报告时间：2017年10月20日下午15：00-16：00

报告地点：科技南楼702

报告二：

题目：Effects of soft interaction on long-time dynamics of rared gas with nonisothermal di
ffuse boundary

摘要：In this talk, we focus on the Boltzmann equation with soft potentials -3<\kappa<0 . Firstly, we construct a nontrivial steady Boltzmann solution. Secondly,we study the large time behavior of Boltzmann solution to a nontrivial steady solution under small perturbation. Finally, we study the large time behavior of Boltzmann solution to a nontrivial steady solution for a class of large amplitude initial data. This is a joint work with Renjun Duan, Feimin Huang and Zhu Zhang.

报告时间：2017年10月20日晚上19：00-20：00

报告地点：科技南楼702

报告三：

题目：Global Well-posedness of the  Relativistic  Boltzmann Equation  with Large Amplitude Initial Data

摘要：In this talk, we consider the global well-posedness of the  relativistic Boltzmann equation with large amplitude initial data. We prove the global existence and uniqueness of mild solution to the relativistic Boltzmann equation in both whole space and torus for a class of initial data with bounded velocity-weighted $L^\infty$-norm under some additional smallness conditions on $L^1_xL^\infty_p$-norm, as well as defect mass, energy and entropy. It is noted that such initial datum allow to have large amplitude oscillation. Moreover, the asymptotic stability of the solutions is also investigated in the case of torus.

报告时间：2017年10月21日上午10：00-11：00

报告地点：科技南楼702

报告人简介：王勇，中科院数学与系统科学研究院助理研究员，于2012年在中国科学院数学与系统科学研究院获得理学博士学位。毕业后赴香港中文大学进行博士后研究，并于2014回到中国科学院数学与系统科学研究院工作，现任助理研究员，从事非线性偏微分方程的研究,在Advance in Math., ARMA, CMP和SIAM MA 等国际重要数学杂志发表论文10余篇.