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Well-posedness of radiation hydrodynamic equations


Academic Report

Title: Well-posedness of radiation hydrodynamic equations

Reporter: Prof. LI Yachun (Shanghai Jiao Tong University)

Time: October 12, 2018 (Friday) AM 9:30-10:30

Location: A1101# room, Innovation Park Building

Contact: LI Fengquan (tel:15164005929)


Abstract: In this talk, I will present recent progress on viscous or inviscid radiation hydrodynamic equations for compressible fluids (Navier-Stokes- Boltzmann or Euler-Boltzmann equations). The results include the local existence of classical solutions withvacuum, some blow-up results of classical solutions, and some regularity criteria.


The brief introduction to the reporter: Li Yachun is a professor, doctoral supervisor and deputy dean of the School of Mathematical Sciences, Shanghai Jiaotong University. She is an outstanding person of the Ministry of Education in the new century and an "Shanghai shuguang scholar". She received bachelor's and doctorate degrees in Fudan University in 1988 and 1994 respectively. And she has won the first prize of Shanghai Natural Science, presided over or as a core member of the National Natural Science Foundation of China key projects, international cooperation and exchange projects, the National Natural Science project and other scientific research projects. She has been engaged in the mathematical theory of partial differential equations for a long time, especially in the study of the well-posedness of compressible radiative hydrodynamics equations. The research results are mainly published in international mainstream mathematical journals such as Arch. Ration. Mech. Anal,Comm. Math. Phys,Journal of Differential Equations,J. Math. Fluid Mech, J. Dynam. Differential Equations.