Hadžić, Mahir;
(2022)
Star dynamics: Collapse vs. expansion.
Quarterly of Applied Mathematics
10.1090/qam/1638.
(In press).
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Abstract
We review a series of recent results on global dynamic properties of radially symmetric self-gravitating compressible Euler flows, which naturally arise in the mathematical description of stars. We focus on the role of scaling invariances and how they interact with nonlinearities to generate imploding finite-time singularities as well as expanding star solutions, arising from smooth initial data. This review paper is based on joint works with Y. Guo, J. Jang, and M. Schrecker.
| Type: | Article |
|---|---|
| Title: | Star dynamics: Collapse vs. expansion |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1090/qam/1638 |
| Publisher version: | https://doi.org/10.1090/qam%2F1638 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Science & Technology, Physical Sciences, Mathematics, Applied, Mathematics, GLOBAL SMOOTH SOLUTIONS, INITIAL-VALUE PROBLEM, GRAVITATIONAL COLLAPSE, NONLINEAR STABILITY, NAKED SINGULARITIES, EULER EQUATIONS, COSMIC CENSORSHIP, SELF-SIMILARITY, WELL-POSEDNESS, EXISTENCE |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10161866 |
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