Title: Large deviation principles for first-order scalar conservation laws with stochastic forcing
Reporter: Researcher. DONG Zhao (Academy of mathematics and Systems Sciences, Chinese Academy of Sciences)
Time: Nov 23, 2019 (Saturday) AM 9:50-10:30
Location: B1410# room, Innovation Park Building
Contact: Prof. LIU Zhenxin (tel:84708351-8039)
Abstract: In this paper, we established the Freidlin-Wentzell type large deviation principles for first-order scalar conservation laws perturbed by small multiplicative noise. Due to the lack of the viscous terms in the stochastic equations, the kinetic solution to the Cauchy problem for these first-order conservation laws is studied. Then, based on the well-posedness of the kinetic solutions, we show that the large deviations holds by utilising the weak convergence approach. This is joint work with Wu Jiang Lun, Zhang Rang Rang, Zhang Tu sheng.