报告题目：GLOBAL EXISTENCE OF SPHERICALLY SYMMETRIC SOLUTIONS OF EULER-POISSON EQUATIONS FOR WHITE DWARF

报告人：黄飞敏 研究员

摘要：In this paper, the three dimensional Euler-Poisson equations with gravitational potential for general pressure law is considered. It is shown that there exists a global finite-energy solution with spherical symmetry for Cauchy problem by the vanishing viscosity limit of compressible Navier-Stokes-Poisson equations with the help of the theory of compensated compactness. Moreover, the constitutive equation of white dwarf stars is included. The key point is to show the higher integrability for the velocity by constructing a special entropy via solving a kind of Goursat problem for the entropy equation. The L^p compensated compactness framework for general pressure is also established.

报告人简介：黄飞敏，中国科学院数学与系统科学研究院研究员，任中科院华罗庚首席研究员，入选国家科技部中青年科技创新领军人才。 曾获2013年国家自然科学奖二等奖（第一完成人），2008年国家杰出青年基金，2004年美国工业与应用数学协会杰出论文奖。主要从事非线性偏微分方程的研究工作，在非线性双曲守恒律、可压缩Navier-Stokes方程、Boltzmann方程等重要领域取得一系列突出成果，两度在著名的国际双曲问题系列会议上做一小时大会报告，是《Communications in Mathematical Sciences》、《Kinetic and Related Models》、《Nonlinear Analysis: Real World Applications》等SCI杂志编委。

报告时间：2023年3月27日（周一）下午15：00-16：00

线下报告地点：校本部新教二楼827

联系人: 曹文涛