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February  2016, 36(2): 981-1004. doi: 10.3934/dcds.2016.36.981

## Asymptotic stability of steady state solutions for the relativistic Euler-Poisson equations

 1 Department of Mathematics, Capital Normal University, Beijing 100048, China 2 School of Mathematics and Statistics, Northeast Normal University, Changchun, MO 130024

Received  June 2014 Revised  June 2014 Published  August 2015

Under the conditions of both the initial data being the small perturbation of given steady state solution and the boundary strength being small, the global existence of smooth solution to the initial boundary value problem of the relativistic Euler-Poisson equations is proved. The convergence of the global smooth solution to smooth steady state solution in time exponentially is also obtained when time goes to infinity.
Citation: La-Su Mai, Kaijun Zhang. Asymptotic stability of steady state solutions for the relativistic Euler-Poisson equations. Discrete & Continuous Dynamical Systems - A, 2016, 36 (2) : 981-1004. doi: 10.3934/dcds.2016.36.981
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