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

doi:10.1016/S0252-9602(16)30058-3

数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (4): 1098-1116.doi: 10.1016/S0252-9602(16)30058-3

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

蒋咪娜¹, 赖素华¹, 尹海燕², 朱长江³

1 School of Mathematics and Statistics, Central China Normal University, Wuhan 430079, China;
2 School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China;
3 School of Mathematics, South China University of Technology, Guangzhou 510641, China

收稿日期:2015-07-24 修回日期:2016-01-24 出版日期:2016-08-25 发布日期:2016-08-25
通讯作者: Changjiang ZHU,E-mail:machjzhu@scut.edu.cn E-mail:machjzhu@scut.edu.cn
作者简介:Mina JIANG,E-mail:jmn3911@mail.ccnu.edu.cn;Suhua LAI,E-mail:ccnulaisuhua@163.com;Haiyan YIN,E-mail:yinhaiyan2000@aliyun.com
基金资助:
The research was supported by the National Natural Science Foundation of China (11331005, 11471134), the Program for Changjiang Scholars and Innovative Research Team in University (IRT13066), and the Scientific Research Funds of Huaqiao University (15BS201, 15BS309).

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

Mina JIANG¹, Suhua LAI¹, Haiyan YIN², Changjiang ZHU³

1 School of Mathematics and Statistics, Central China Normal University, Wuhan 430079, China;
2 School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China;
3 School of Mathematics, South China University of Technology, Guangzhou 510641, China

Received:2015-07-24 Revised:2016-01-24 Online:2016-08-25 Published:2016-08-25
Contact: Changjiang ZHU,E-mail:machjzhu@scut.edu.cn E-mail:machjzhu@scut.edu.cn
Supported by:
The research was supported by the National Natural Science Foundation of China (11331005, 11471134), the Program for Changjiang Scholars and Innovative Research Team in University (IRT13066), and the Scientific Research Funds of Huaqiao University (15BS201, 15BS309).

摘要/Abstract

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.

关键词: Navier-Stokes-Poisson system, stationary solution, outflow problem, convergence rate, weighted energy method

Abstract:

Key words: Navier-Stokes-Poisson system, stationary solution, outflow problem, convergence rate, weighted energy method

中图分类号:

35B35

蒋咪娜, 赖素华, 尹海燕, 朱长江. THE STABILITY OF STATIONARY SOLUTION FOR OUTFLOW PROBLEM ON THE NAVIER-STOKES-POISSON SYSTEM[J]. 数学物理学报(英文版), 2016, 36(4): 1098-1116.

Mina JIANG, Suhua LAI, Haiyan YIN, Changjiang ZHU. THE STABILITY OF STATIONARY SOLUTION FOR OUTFLOW PROBLEM ON THE NAVIER-STOKES-POISSON SYSTEM[J]. Acta mathematica scientia,Series B, 2016, 36(4): 1098-1116.

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

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

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