Global existence of spherically symmetric solutions of compressible Euler-Possion equation white dwarf

活动时间:2022-10-20 14:00

活动地点:腾讯会议 133-259-706

主讲人:黄飞敏

主讲人中文简介:

中国科学院数学与系统科学研究院华罗庚首席研究员,主要研究非线性偏微分方程,曾获2013年国家自然科学奖二等奖,国家杰出青年基金,美国工业与应用数学学会杰出论文奖。

活动内容摘要:

In this talk, 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 theory of compensated compactness, and no concentration (delta measure) is formed in the vanishing viscosity limit. Moreover, the constitutive equation of white dwarf stars is included. The results can be extended to the three dimensional compressible Euler equation with far field vacuum in the same way.

主持人:秦玉明