Stationary solutions of Euler–Poisson equations for non‐isentropic gaseous stars |
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Authors: | Huazhao Xie Suli Li |
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Institution: | Department of Mathematics, Henan University of Economics and Law, , Zhengzhou 450002, China |
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Abstract: | 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. |
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Keywords: | Euler– Poisson equations non‐isentropic multiplicity of stationary solutions uniqueness of stationary solution |
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