Existence of rotating stars with variable Entropy
数学专题报告
报告题目(Title)：Existence of rotating stars with variable Entropy
报告人(Speaker)：Yilun Wu (University of Oklahoma)
地点(Place)：ZoomID: 985 3186 6133 密码: 045613
时间(Time)：2023 年 11月 03日09：30—10：30
邀请人(Inviter)：熊金钢
报告摘要
Rotating stars can be modeled by steady solutions to the Euler-Poisson equations. An extensive literature has established the existence of rotating stars for given differentially rotating angular velocity profiles. However, all of the existing results require the angular velocity to depend on the distance to the rotation axis, but not on the distance to the equatorial plane. Incidentally, all of these solutions have constant entropy within the star. In this talk, I will present a recent result which is the first that allows a general rotation profile, without restrictions. It is also the first result that allows genuinely changing entropy within the star. The variation of entropy causes the previous methods used to construct steady solutions inapplicable. We discover a div-curl reformulation of the problem and perform analysis on the resulting elliptic-hyperbolic system. This is joint work with Juhi Jang and Walter Strauss.
* This PDE seminar is co-organized with Tianling Jin at The Hong Kong University of Science and Technology. See the seminar webpage: https://www.math.hkust.edu.hk/~tianlingjin/PDEseminar.html
