@article{Chen2023, 
author = {Yingying Chen and Lan Huang and Jianwei Yang},
title = {Large time behavior of the Euler-Poisson system coupled to a magnetic field},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {5},
pages = {11460-11479},
keywords = {stability, asymptotic behavior of solutions, Euler-Poisson system, magnetic field},
url = {https://www.sciopen.com/article/10.3934/math.2023580},
doi = {10.3934/math.2023580},
abstract = {In this paper, the large time behavior of globally smooth solutions of the Cauchy problem for the three dimensional Euler-Poisson system of compressible fluids coupled to a magnetic field is studied. We prove that the smooth solutions (near a given constant equilibrium state) of the problem converge asymptotically to a stationary solution exponentially fast as    t goes to    ∞.}
}