Gravitational Collapse for Newtonian Stars

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• Matthew Schrecker (Bath)
• Monday 30 October 2023, 14:00-15:00
• MR13.

If you have a question about this talk, please contact Dr Greg Taujanskas.

In the Newtonian setting, a star is modelled as a spherically symmetric gas obeying the compressible Euler-Poisson system. It is widely expected that, in certain regimes, smooth initial data may give rise to blow-up solutions, corresponding to the collapse of a star under its own gravity. In this talk, I will present recent works constructing both transonic and supersonic solutions for ideal gases, and will comment on the stability problem for these collapsing solutions. Key difficulties arise from the presence of a sonic point, a singularity in the self-similar model that poses serious analytical challenges in the search for smooth solutions. This is based on joint works with Yan Guo, Mahir Hadzic, Juhi Jang and Christopher Alexander.

This talk is part of the Partial Differential Equations seminar series.

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