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SUMMARY:Gravitational Collapse for Newtonian Stars - Matthew Schrecker (Ba
 th)
DTSTART:20231030T140000Z
DTEND:20231030T150000Z
UID:TALK207802@talks.cam.ac.uk
CONTACT:Dr Greg Taujanskas
DESCRIPTION: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 tra
 nsonic and supersonic solutions for ideal gases\, and will comment on the 
 stability problem for these collapsing solutions. Key difficulties arise f
 rom the presence of a sonic point\, a singularity in the self-similar mode
 l that poses serious analytical challenges in the search for smooth soluti
 ons.\nThis is based on joint works with Yan Guo\, Mahir Hadzic\, Juhi Jang
  and Christopher Alexander.
LOCATION:MR13
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