中科院数学与系统科学研究院

数学研究所

学术报告

偏微分方程研讨班

报告人：Xiaoqian Xu（Duke Kunshan University）

题  目：Suppression of explosion by mixing

时  间：2022.07.04（星期一）16:00-17:00

地  点：Zoom ID: 924 888 5804  Passcode: AMSS2022

https://us06web.zoom.us/j/9248885804?pwd=OXg2VDhBT0pxRkd1Z3RJS0NFMnRDdz09

摘 要：In the study of incompressible fluid, one fundamental phenomenon that arises in a wide variety of application is dissipation enhancement by so-called mixing flow. In this talk, I will give a brief introduction to the idea of mixing flow and the role it plays in the field of advection-diffusion-reaction equation. More specifically, I will explain why the presence of fluid can enhance the dissipation and prevent the singularity formation for some types of evolution equations, even with degeneracy.