Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/28104
Title: Periodic solutions of 2D isothermal Euler-Poisson equations with possible applications to spiral and disk-like galaxies
Authors: Kwong, MK
Yuen, M
Keywords: Euler-Poisson equations
Galaxies evolution
Galaxies formation
Gaseous stars
Periodic solutions
Rotational solutions
Issue Date: 2014
Publisher: Academic Press
Journal: Journal of mathematical analysis and applications 
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.
URI: http://hdl.handle.net/10397/28104
ISSN: 0022-247X
EISSN: 1096-0813
DOI: 10.1016/j.jmaa.2014.06.033
Appears in Collections:Journal/Magazine Article

Access
View full-text via PolyU eLinks SFX Query
Show full item record

SCOPUSTM   
Citations

2
Last Week
0
Last month
0
Citations as of Nov 15, 2017

WEB OF SCIENCETM
Citations

2
Last Week
0
Last month
0
Citations as of Nov 19, 2017

Page view(s)

47
Last Week
4
Last month
Checked on Nov 20, 2017

Google ScholarTM

Check

Altmetric



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.