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

Authors
Journal
Journal of Mathematical Analysis and Applications
0022-247X
Publisher
Elsevier
Publication Date
Identifiers
DOI: 10.1016/j.jmaa.2014.06.033
Keywords
  • Partial Differential Equations
Disciplines
  • Physics

Abstract

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.

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