一、报告题目

First-order scalar conservation laws with stochastic forcing: renormalised entropy solutions and large deviation principles

二、主讲人

吴浆伦

三、报告时间

2021年9月15日 19：00

四、报告地点

腾讯会议 ID ：488 2330 4823

五、摘要

Due to the lack of the viscous terms in the first-order scalar conservation laws with noise forcing, the notion of stochastic entropy solutions and renormalised entropy solutions have been introduced for the well-posedness problem. The first part of the talk will review these solutions. It is, however, difficult to study the vanishing noise limits (such as large deviations or averaging principles) for entropy type solutions. The second part of the talk will discuss the kinetic solutions to the Cauchy problem for the stochastic first-order conservation laws which enable us, by utilising the weak convergence approach, to establish the Freidlin-Wentzell type large deviation principles for the first-order scalar conservation laws perturbed by small multiplicative noise. Based on joint works with Guangyin Lv (JFA 2006, JHDE 2018), and with Zhao Dong,

Rangrang Zhang, Tusheng Zhang (Ann Appl Prob 2020).

六、主讲人简介

吴奖伦教授现为英国斯旺西大学(Swansea University，UK)教授，伦敦数学学会会员。博士毕业于中科院应用数学研究所，师从严加安院士。先后为洪堡学者，德国波鸿-鲁尔大学数学研究所研究员（Research Fellow）、德国波恩大学应用应用数学研究所高级研究员、新加坡国立大学数学研究所高级研究员等。国内兼职：西北工业大学客座讲座教授、华中科技大学数学中心东湖讲座教授、陕西省百人计划（西北大学数学学院）特聘教授、陕西省数量经济研究中心高级研究员、《纯粹数学与应用数学》编辑委员。主要研究数学、金融及统计物理中所涉及到的无穷维随机分析问题。在《Ann. Appl. Probab.》，《J. Funct. Anal.》，《J. Differential Equ.》，《Trans. Amer. Math. Soc.》,《Stochastic Process. Appl.》，《Potential Anal.》，《Bull. Sci. Math.》，《Commun. Math. Physics》等国际期刊上发表学术论文一百多篇。

七、主办单位

非线性期望前沿科学中心

数学与交叉科学研究中心