THE STABILITY OF STATIONARY SOLUTION FOR OUTFLOW PROBLEM ON THE NAVIER-STOKES-POISSON SYSTEM  

作　　者：蒋咪娜 赖素华 尹海燕 朱长江 

机构地区：[1]School of Mathematics and Statistics, Central China Normal University [2]School of Mathematical Sciences, Huaqiao University [3]School of Mathematics,South China University of Technology

出　　处：《Acta Mathematica Scientia》2016年第4期1098-1116,共19页数学物理学报（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(11331005,11471134);the Program for Changjiang Scholars and Innovative Research Team in University(IRT13066);the Scientific Research Funds of Huaqiao University(15BS201,15BS309)

摘　　要：In this article, we are concerned with the stability of stationary solution for outflow problem on the Navier-Stokes-Poisson system. We obtain the unique existence and the asymptotic stability of stationary solution. Moreover, the convergence rate of solution towards stationary solution is obtained. Precisely, if an initial perturbation decays with the algebraic or the exponential rate in space, the solution converges to the corresponding stationary solution as time tends to infinity with the algebraic or the exponential rate in time. The proof is based on the weighted energy method by taking into account the effect of the self-consistent electric field on the viscous compressible fluid.In this article, we are concerned with the stability of stationary solution for outflow problem on the Navier-Stokes-Poisson system. We obtain the unique existence and the asymptotic stability of stationary solution. Moreover, the convergence rate of solution towards stationary solution is obtained. Precisely, if an initial perturbation decays with the algebraic or the exponential rate in space, the solution converges to the corresponding stationary solution as time tends to infinity with the algebraic or the exponential rate in time. The proof is based on the weighted energy method by taking into account the effect of the self-consistent electric field on the viscous compressible fluid.

关 键 词：Navier-Stokes-Poisson system stationary solution outflow problem convergence rate weighted energy method 

分 类 号：O175[理学—数学]