参加方式
点击下列腾讯会议链接:
会议链接：//meeting.tencent.com/s/SeUDSFvPKx7c
会议ID：306 816 757
邀请人：高洪俊教授
内容摘要：
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).