题目： Selfsimilar gravitational collapse

报告人：Mahir Hadzic（University College London）

时间：4月28日 19:00-20:00

地点：ZOOM Meeting ID: 811 7999 7799   Passcode: 740203

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https://nus-sg.zoom.us/j/81179997799?pwd=Z3h3QmtqWVoxYVh0TElYelVqWEUvUT09

摘要：A basic model of a star is obtained by coupling the compressible Euler equations to Newtonian gravity, which gives the well-known gravitational Euler-Poisson system. In the relativistic context, the relevant model is the Einstein-Euler system.

We present a series of recent works on the existence of imploding stars, which correspond to finite time singularities that form from smooth initial data and lead to the blow-up of fluid density. We shall emphasise the importance of scaling symmetries and the natural notion of selfsimilarity, which play a key role in our construction of collapsing stars. This talk is based on joint works with Y. Guo, J. Jang, and M. Schrecker.