Star dynamics: collapse vs. expansion
Analysis of PDEs
2023-06-06 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.2306.02445,
title = {Star dynamics: collapse vs. expansion},
author = {Mahir Hadzic},
journal= {arXiv preprint arXiv:2306.02445},
year = {2023}
}
Comments
36 pages, 11 figures, review paper, slightly updated version of the original published in Quart. Appl. Math