Hypocoercivity based local sensitivity analysis for multiscale kinetic equations with uncertainties
- A+
：Prof. Jin Shi
：2020-12-25 16:00
：实验楼105（线下）
Speaker：Prof. Jin Shi
Shanghai Jiao Tong University
Title: Hypocoercivity based local sensitivity analysis for multiscale kinetic equations with uncertainties
Time：25th, Dec., 2020, 16:00
Location：实验楼105 (线下)
Abstract:
Hypocoercivity based analysis is a powerful tool for kinetic equations which allows one to understand the regularity and long-time behavior of both linear and nonlinear kinetic equations, despite that kinetic operators are degenerately dissipative. We extend such analysis to linear and nonlinear kinetic equations with random uncertainties in initial data or collisional kernels, which allows us to establish regularity, local sensitivity with respect to uncertain random parameters, and long-time exponential decay of the solution toward the global equilibrium in the random space, as well as spectral convergence and long-time error decay of the polynomial chaos based stochastic Galerkin methods, a popular method used for uncertainty quantification.
Speaker Introduction：
金石，现为上海交通大学自然科学研究院院长。先后获北京大学学士学位，美国亚利桑那大学博士学位，历任美国纽约大学库朗数学研究所博士后，美国佐治亚理工学院助理教授、副教授，美国威斯康星大学（麦迪逊）教授、数学系系主任、Vilas 杰出成就教授，上海交通大学数学系讲席教授、系主任。他曾获得冯康科学计算奖，国家自然科学基金杰出青年基金(海外），国际华人数学家大会晨兴数学银奖。他是美国数学会（AMS）首批会士，工业与应用数学学会(SIAM)会士，中国工业与应用数学学会(CSIAM)首批会士及2018年国际数学家大会邀请报告人。
联系人：邱建贤
