On the Steady State Relativistic Euler-Poisson Equations

Acta Applicandae Mathematicae - Tập 125 - Trang 135-157 - 2012
La-Su Mai1, Jingyu Li1,2, Kaijun Zhang1
1School of Mathematics and Statistics, Northeast Normal University, Changchun, P. R. China
2Center for Partial Differential Equations, East China Normal University, Minhang, P.R. China

Tóm tắt

We are concerned with the mathematical analysis of the relativistic Euler-Poisson equations in one dimensional case. The existence and uniqueness of the related smooth steady state solutions are proved. The non-relativistic limit and zero-relaxation limit of the model as well as their convergence rates are also obtained.

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Acta Applicandae Mathematicae

Tập 125

135-157

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