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​【系综合学术报告】2024年第1期 || Singularities propagation in deterministic and random setting

报告题目:Singularities propagation in deterministic and random setting

报告人:程伟教授(南京大学)

报告时间:2024年1月11日(周四)上午10:00

报告地点:理科楼A304

报告摘要:Singularities propagation comes from the Riemann problem in hyperbolic conservation law. There are various notions of singular  characteristics in the theory of propagation singularities of viscosity solutions. In this talk, we will discuss the variational construction of generalized characteristics and strict singular characteristics. We proved the solution of generalized characteristics can be constructed in an intrinsic way using the idea of minimizing movements and certain process of homogenization. Moreover, the relation between the strict singular  characteristics and the EDI-EVI frame of gradient flow was also discussed. In general, these results bridge various different topics. This talk is based on our latest work with Piermarco Cannarsa, Jiahui Hong, Kaizhi Wang and Tianqi Shi.

邀请人:张友金