Acta mathematica scientia, Series B >
A NOTE ON THE EXISTENCE OF STATIONARY SOLUTIONS OF THE COMPRESSIBLE EULER-POISSON EQUATIONS WITH 6/5 < γ <|2
Received date: 2012-07-20
Online published: 2013-07-20
Supported by
This work is supported by the Fundamental Research Funds for the Central Universities (2011-1a-021).
This paper is concerned with the system of Euler-Poisson equations as a model to describe the motion of the self-induced gravitational gaseous stars. When 6/5 < γ < 2, under the weak smoothness of entropy function, we find a sufficient condition to guarantee the existence of stationary solutions for some velocity fields and entropy function that solve the conservation of mass and energy.
Key words： Euler-Poisson equations; stationary solutions; existence
XIANG Jian-Lin . A NOTE ON THE EXISTENCE OF STATIONARY SOLUTIONS OF THE COMPRESSIBLE EULER-POISSON EQUATIONS WITH 6/5 < γ <|2[J]. Acta mathematica scientia, Series B, 2013 , 33(4) : 936 -942 . DOI: 10.1016/S0252-9602(13)60052-1
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