Existence and stability of stationary solutions to the compressible Navier-Stokes-Poisson equations

被引：9
|
作者：
Cai, Hong [1 ]
Tan, Zhong [1 ,2 ]
机构：
[1] Xiamen Univ, Sch Math Sci, Xiamen CHINA, Peoples R China
[2] Xiamen Univ, Fujian Prov Key Lab Math Modeling & High Performa, Xiamen 361005, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2016年 / 32卷
基金：
中国国家自然科学基金;
关键词：
Navier-Stokes-Poisson equations; Stationary solutions; Stability; Time decay; PHYSICALLY REASONABLE SOLUTIONS; INITIAL DISTURBANCE; VISCOUS-FLUID; STEADY FLOW; RESPECT; V(INFINITY)NOT-EQUAL-0; DECAY;
D O I：
10.1016/j.nonrwa.2016.04.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we are concerned with the compressible Navier Stokes Poisson equations with the given external force of general form in three dimensional space. Based on the weighted L-2 method and the contraction mapping principle, we prove the existence and uniqueness of stationary solutions. Then, we show the stability of solutions to the Cauchy problem near the stationary state provided that the initial perturbation is sufficiently small. Finally, the time decay rates of the solutions are obtained when the initial perturbation belongs to H-S with 0 <= s <= 3/2. (C) 2016 Elsevier Ltd. All rights reserved.
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页码：260 / 293
页数：34
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