Global existence and decay of strong solutions to the compressible Navier-Stokes-Poisson equations in bounded domains

被引：0

作者：

Liu, Hui ^{[1
]}

Si, Xin ^{[2
]}

Yu, Haibo ^{[1
]}

机构：

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

[2] Xiamen Univ Techonol, Sch Math Sci, Xiamen 361024, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 525卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Global strong solution; Initial-boundary-value problem; Compressible Navier-Stokes-Poisson equations; Exponential decay rate; CLASSICAL-SOLUTIONS; WELL-POSEDNESS; LARGE OSCILLATIONS; STABILITY; VACUUM; SYSTEM; STATE;

D O I：

10.1016/j.jmaa.2023.127223

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper concerns the global existence and decay rate of strong solutions to initial-boundary-value problem of the 3D compressible Navier-Stokes-Poisson equations. When the velocity admits slip boundary condition, it shows that strong solutions exist globally in time for small initial energy. The difficulties caused by Poisson term are overcome through uniform estimate of ||rho - 1||(L2(0,T;L2)) and time-weighted a prioriestimates. In particular, the initial density has large oscillations and allows vacuum states. As a byproduct, we do not need any initial compatibility conditions. (c) 2023 Elsevier Inc. All rights reserved.

引用

页数：21

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