学术报告会：The researches on the approximated equations arising from hydrodynamic system with radiation

报告题目：The researches on the approximated  equations arising from hydrodynamic system with radiation  

报  告 人：杨雄锋  上海交通大学教授

报告时间：2023年12月14日周四10：00

报告地点：S3-502

摘要：In this talk, I will present our results on some approximation radiation hydrodynamic systems, including the pointwise estimate of the solution of the radiation hydrodynamic equations in 1-D, the asymptotic stability of the rarefaction wave of equilibrium approximation equation in 1-D,  the existence and time decay rate of the solutions of the P1 radiation hydrodynamic system in 3D with viscosity. These models arise from the radiation hydrodynamics which describes the macroscopic fluid motion and a $P_1$ approximation of the transport equation.   (Jointed works with S.J. Deng, K.Q. Li, F. Xie and W.J. Wang).

个人简介：

杨雄锋，上海交通大学数学与科学学院教授，研究方向为偏微分方程。主要研究内容有: 动理学方程及其边界层问题的适定性，流体力学方程解的逐点性质以及耗散系统基本波的稳定性理论，这些内容都是偏微分方程基础理论研究中的重要课题。相关的文章发表在Adv. Math., Arch. Ration. Mech. Anal. , Siam J. Math. Anal., J. Diff. Equations, Comm. Part. Diff. Eqns. 等重要数学期刊上。曾多次获得国家自然科学基金委资助，并在2011年获得上海市自然科学一等奖。