2015/12/06 by Qingqing Liu, Yifan Su, Liu, Qingqing +1
Mathematics · #35B40 #35J08 #35Q30 #35Q61 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35B40 #msc:35J08 #msc:35Q30 #msc:35Q61
paper · pdf · doi:10.48550/arxiv.1512.01788
29 pages. arXiv admin note: text overlap with arXiv:1107.1922 by other authors
arxiv created 2015/12/28 · arxiv updated 2015/12/29
In this paper, we are concerned with the system of the non-isentropic compressible Navier-Stokes equations coupled with the Maxwell equations through the Lorentz force in three space dimensions. The global existence of solutions near constant steady states is established, and the time-decay rates of perturbed solutions are obtained. The proof for existence is due to the classical energy method, and the investigation of large-time behavior is based on the linearized analysis of the non-isentropic Navier-Stokes-Poisson equations and the electromagnetic part for the linearized isentropic Navier-Stokes-Maxwell equations. In the meantime, the time-decay rates obtained by Zhang, Li, and Zhu~[\it J. Differential Equations, 250(2011), 866-891] for the linearized non-isentropic Navier-Stokes-Poisson equations are improved.