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04-15【刘 欣】腾讯会议 吴文俊数学重点实验室微分方程系列报告之3

题目: On the stability/instability of expanding configurations of radiation gaseous stars

报告人:刘欣 (Weierstrass Institute Berlin)

报告时间:4月15日晚上19:30-20:30

报告地点:腾讯会议,点击链接入会,或添加至会议列表:https://meeting.tencent.com/s/UKYPVnqY465e

会议 ID:391 779 031

会议密码:123456

摘要: Radiation gaseous stars can be described by hydrodynamic equations with self-gravity, i.e., Euler-Poisson or Navier-Stokes-Poisson equations. Due to the thermo-effect, the configurations are highly unstable. In this talk, we will introduce the mathematical formulation of radiation gaseous stars, including some known results on the equilibria, local-in-time well-posedness, asymptotic stability theory, as well as existence of expanding configurations and the corresponding asymptotic stability theory. In particular, both the isentropic approximation, and a thermodynamic approximation (if time permits) will be discussed. We will present an elementary talk and focus more on intuitive analysis.

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