On rotating star solutions to non-isentropic Euler-Poisson equations

2013/09/01 by Yilun Wu, Wu, Yilun
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1309.0175

31 pages

arxiv created 2014/11/04 · arxiv updated 2014/11/05

Abstract

This paper investigates rotating star solutions to the Euler-Poisson equations with a non-isentropic equation of state. As a first step, the equation for gas density with a prescribed entropy and angular velocity distribution is studied. The resulting elliptic equation is solved either by the method of sub and supersolutions or by a variational method, depending on the value of the adiabatic index. The reverse problem of determining angular velocity from gas density is also considered.

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