Singularity formation for the relativistic Euler-Poisson equations with repulsive force and damping

Xingli LI, Jianli LIU, Man Wai YUEN

Research output: Contribution to journalArticlespeer-review

Abstract

In this paper, we consider the blowup mechanism of regular solutions to the spherically symmetry relativistic Euler-Poisson equations with repulsive force and damping. By means of a weighted function and the structured functional, we show the regular solution will blow up in finite time. Copyright © 2024 John Wiley & Sons Ltd.

Original languageEnglish
JournalMathematical Methods in the Applied Sciences
Early online dateFeb 2024
DOIs
Publication statusE-pub ahead of print - Feb 2024

Citation

Li, X., Liu, J., & Yuen, M. (2024). Singularity formation for the relativistic Euler-Poisson equations with repulsive force and damping. Mathematical Methods in the Applied Sciences. Advance online publication. https://doi.org/10.1002/mma.9930

Keywords

  • Damping
  • Regular solutions
  • Relativistic Euler-Poisson equations
  • Repulsive force
  • Singularity formation

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