Periodic solutions of 2D isothermal Euler–Poisson equations with possible applications to spiral and disk-like galaxies

Man Kam KWONG, Man Wai YUEN

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4 Citations (Scopus)

Abstract

Compressible Euler–Poisson equations are the standard self-gravitating models for stellar dynamics in classical astrophysics. In this article, we construct periodic solutions to the isothermal (γ=1) Euler–Poisson equations in R² with possible applications to the formation of plate, spiral galaxies and the evolution of gas-rich, disk-like galaxies. The results complement Yuen's solutions without rotation (Yuen, 2008 [12]). Here, the periodic rotation prevents the blowup phenomena that occur in solutions without rotation. Based on our results, the corresponding 3D rotational results for Goldreich and Weber's solutions are conjectured. Copyright © 2014 Elsevier Inc.
Original languageEnglish
Pages (from-to)1854-1863
JournalJournal of Mathematical Analysis and Applications
Volume420
Issue number2
DOIs
Publication statusPublished - Dec 2014

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Euler-Poisson Equations
Galaxies
Periodic Solution
Astrophysics
Blow-up
Complement
Gases
Model

Citation

Kwong, M. K., & Yuen, M. (2014). Periodic solutions of 2D isothermal Euler–Poisson equations with possible applications to spiral and disk-like galaxies. Journal of Mathematical Analysis and Applications, 420(2), 1854-1863.

Keywords

  • Euler–Poisson equations
  • Periodic solutions
  • Rotational solutions
  • Galaxies formation
  • Galaxies evolution
  • Gaseous stars