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Stationary solutions of Euler–Poisson equations for non‐isentropic gaseous stars
Author(s) -
Xie Huazhao,
Li Suli
Publication year - 2012
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2529
Subject(s) - isentropic process , mathematics , uniqueness , adiabatic process , poisson distribution , euler's formula , mathematical analysis , euler equations , semi implicit euler method , stars , gravitational field , classical mechanics , physics , backward euler method , mechanics , astrophysics , thermodynamics , statistics
The motion of the self‐gravitational gaseous stars can be described by the Euler–Poisson equations. For some velocity fields and entropy functions that solve the conservation of mass and energy, we consider the existence of stationary solutions of Euler–Poisson equations. Under various restriction to the strength of velocity field, different assumptions on the isentropic function and adiabatic exponent, we get the existence, multiplicity and uniqueness of the stationary solutions to the Euler–Poisson system, respectively. Copyright © 2012 John Wiley & Sons, Ltd.