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

被引：13

作者：

Jiang, Mina ^{[1
]}

Lai, Suhua ^{[1
]}

Yin, Haiyan ^{[2
]}

Zhu, Changjiang ^{[3
]}

机构：

[1] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China

[2] Huaqiao Univ, Sch Math Sci, Quanzhou 362021, Fujian, Peoples R China

[3] South China Univ Technol, Sch Math, Guangzhou 510641, Guangdong, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2016年 / 36卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Navier-Stokes-Poisson system; stationary solution; outflow problem; convergence rate; weighted energy method; ASYMPTOTIC STABILITY; HALF-SPACE; CONVERGENCE; EQUATIONS; WAVES;

D O I：

10.1016/S0252-9602(16)30058-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：1098 / 1116

页数：19

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