eprintid: 10161866
rev_number: 8
eprint_status: archive
userid: 699
dir: disk0/10/16/18/66
datestamp: 2022-12-16 16:10:36
lastmod: 2022-12-16 16:10:36
status_changed: 2022-12-16 16:10:36
type: article
metadata_visibility: show
sword_depositor: 699
creators_name: Hadžić, Mahir
title: Star dynamics: Collapse vs. expansion
ispublished: inpress
divisions: UCL
divisions: B04
divisions: C06
divisions: F59
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
note: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
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.
date: 2022-11-17
date_type: published
publisher: American Mathematical Society (AMS)
official_url: https://doi.org/10.1090/qam%2F1638
oa_status: green
full_text_type: other
language: eng
primo: open
primo_central: open_green
verified: verified_manual
elements_id: 1990060
doi: 10.1090/qam/1638
lyricists_name: Hadzic, Mahir
lyricists_id: MHADZ42
actors_name: Hadzic, Mahir
actors_id: MHADZ42
actors_role: owner
funding_acknowledgements: EP/S02218X/1 [Engineering and Physical Sciences Research Council]
full_text_status: public
publication: Quarterly of Applied Mathematics
pages: 37
citation:        Hadžić, Mahir;      (2022)    Star dynamics: Collapse vs. expansion.                   Quarterly of Applied Mathematics        10.1090/qam/1638 <https://doi.org/10.1090/qam%2F1638>.    (In press).    Green open access   
 
document_url: https://discovery.ucl.ac.uk/id/eprint/10161866/1/Proof-changes-final.pdf