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Abstract
We describe the construction of self-similar solutions to the gravitational Euler-Poisson equations for polytropic gases, providing exact self-similar profiles for the gravitational collapse of stars. These results are based on joint work with Guo et al. (Arch. Rat. Mech. Anal. 246:957–1066, 2022).
| Original language | English |
|---|---|
| Title of host publication | Extended Abstracts 2021/2022. GMC 2021 |
| Editors | D. Cardona, J. Restrepo, M. Ruzhansky |
| Place of Publication | Cham, Switzerland |
| Publisher | Birkhäuser |
| Pages | 169-176 |
| Number of pages | 8 |
| ISBN (Electronic) | 9783031485794 |
| ISBN (Print) | 9783031485787 |
| DOIs | |
| Publication status | Published - 29 Feb 2024 |
Publication series
| Name | Trends in Mathematics |
|---|---|
| Volume | 3 |
| ISSN (Print) | 2297-0215 |
| ISSN (Electronic) | 2297-024X |
Funding
Acknowledgments M. Schrecker’s research is supported by the EPSRC Post-doctoral Research Fellowship EP/W001888/1.
| Funders | Funder number |
|---|---|
| Engineering and Physical Sciences Research Council | EP/W001888/1 |
Keywords
- Euler-Poisson
- Gravitational collapse
- Non-linear PDE
- Singularity formation
ASJC Scopus subject areas
- General Mathematics
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