报告题目：The Green function and pointwise estimate for some types of radiation hydrodynamic system

报告人：   杨雄峰（上海交通大学数学科学学院教授）

报告时间：2021年12月8日周三上午10：30-11：30

报告地点：腾讯会议 922-346-864

邀请人：   徐红梅

报告摘要：In this talk, we will discuss the Green function and the pointwise estimate of the solutions for some types of radiation hydrodynamic system around constant equilibrium states. It includes the P1 approximation radiation hydrodynamic system in 1-D and the P1 approximation radiation hydrodynamic system with damping in 3-D. It is well-known that the solutions always blow up in finite time without the additional radiative effects and the damping terms, the global existence of the solutions obtained means that these two effects prevent the formation of the singularity. To study the precise structure of the solution, we construct the pointwise estimates of the Green function for the linear system, then we study the pointwise estimates of the solutions for the nonlinear equations. (Jointed with S.J. Deng; W.J. Wang and F. Xie).

报告人简介：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。主要研究领域有: 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、耗散系统基本波的稳定性理论。相关的文章发表在Adv. Math., Arch. Ration. Mech. Anal., Siam J. Math. Anal., J. Diff. Eqns., Comm. Part. Diff. Eqns. 等重要数学期刊上。另外，报告人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。