STABILITY OF STEADY STATES OF THE NAVIER-STOKES-POISSON EQUATIONS WITH NON-FLAT DOPING PROFILE

被引：38

作者：

Tan, Zhong ^{[1
,2
]}

Wang, Yanjin ^{[1
,2
]}

Wang, Yong ^{[1
,2
]}

机构：

[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China

[2] Xiamen Univ, Fujian Prov Key Lab Math Modeling & Sci Comp, Xiamen 361005, Fujian, Peoples R China

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2015年 / 47卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Navier-Stokes-Poisson equations; stability; energy method; time decay; CONVERGENCE-RATES; EXISTENCE; BEHAVIOR; DECAY; FORCE;

D O I：

10.1137/130950069

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the stability of the steady state of the compressible Navier-StokesPoisson equations with the non-flat doping profile. We prove the global existence of classical solutions near the steady state for the large doping profile. For the small doping profile, we prove the time decay rates of the solution provided that the initial perturbation belongs to L-p with 1 <= p < 3/2.

引用

页码：179 / 209

页数：31

共 16 条

[1] Optimal convergence rates for the compressible Navier-Stokes equations with potential forces [J].