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

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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
Pages (from-to)6446-6456
JournalMathematical Methods in the Applied Sciences
Volume47
Issue number7
Early online dateFeb 2024
DOIs
Publication statusPublished - May 2024

Keywords

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

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