Self-Similar Gravitational Collapse for Polytropic Stars

Research output: Chapter or section in a book/report/conference proceedingChapter or section

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 languageEnglish
Title of host publicationExtended Abstracts 2021/2022. GMC 2021
EditorsD. Cardona, J. Restrepo, M. Ruzhansky
Place of PublicationCham, Switzerland
PublisherBirkhäuser
Pages169-176
Number of pages8
ISBN (Electronic)9783031485794
ISBN (Print)9783031485787
DOIs
Publication statusPublished - 29 Feb 2024

Publication series

NameTrends in Mathematics
Volume3
ISSN (Print)2297-0215
ISSN (Electronic)2297-024X

Keywords

  • Euler-Poisson
  • Gravitational collapse
  • Non-linear PDE
  • Singularity formation

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint

Dive into the research topics of 'Self-Similar Gravitational Collapse for Polytropic Stars'. Together they form a unique fingerprint.

Cite this