WEAK TIME-PERIODIC SOLUTIONS TO THE COMPRESSIBLE NAVIER-STOKES EQUATIONS

被引：0

作者：

Cai, Hong ^{[1
]}

Tan, Zhong ^{[2
,3
]}

机构：

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

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

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

来源：

ACTA MATHEMATICA SCIENTIA | 2016年 / 36卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Compressible fluid; Navier-Stokes equations; weak time-periodic solutions;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The compressible Navier-Stokes equations driven by a time-periodic external force are considered in this article. We establish the existence of weak time-periodic solutions and improve the result from [3] in the following sense: we extend the class of pressure functions, that is, we consider lower exponent gamma.

引用

页码：499 / 513

页数：15

共 50 条

[41] On the boundary regularity of suitable weak solutions to the Navier-Stokes equations
Wolf J.
ANNALI DELL'UNIVERSITA' DI FERRARA, 2010, 56 (1) : 97 - 139
[42] On regularity of weak solutions for the Navier-Stokes equations in general domains
Duong, V. T. T.
Khai, D. Q.
Tri, N. M.
MATHEMATISCHE NACHRICHTEN, 2021, 294 (12) : 2302 - 2316
[43] Weak Morrey spaces and strong solutions to the Navier-Stokes equations
Chang-xing Miao
Bao-Quan Yuan
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2007, 50 (10): : 1401 - 1417
[44] Stability of Weak Solutions for the Compressible Navier-Stokes-Poisson Equations
Ru-xu LIAN 1
Acta Mathematicae Applicatae Sinica, 2012, (03) : 597 - 606
[45] INFINITE FAMILIES OF EXACT PERIODIC SOLUTIONS TO THE NAVIER-STOKES EQUATIONS
Bogoyavlenskij, Oleg I.
MOSCOW MATHEMATICAL JOURNAL, 2003, 3 (02) : 263 - 272
[46] Periodic solutions of the Navier-Stokes equations with inhomogeneous boundary conditions
Farwig R.
Okabe T.
ANNALI DELL'UNIVERSITA' DI FERRARA, 2010, 56 (2) : 249 - 281
[47] Stability of weak solutions for the compressible Navier-Stokes-Poisson equations
Lian, Ru-xu
Li, Ming-jie
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2012, 28 (03): : 597 - 606
[48] Comparison of decay of solutions to two compressible approximations to Navier-Stokes equations
César J. Niche
María E. Schonbek
Bulletin of the Brazilian Mathematical Society, New Series, 2016, 47 : 641 - 654
[49] On the Domain Dependence of Solutions to the Compressible Navier-Stokes Equations of an Isothermal Fluid
Nikola Hlaváčová
Acta Applicandae Mathematicae, 2013, 124 : 187 - 206
[50] PERIODIC SOLUTIONS AND THEIR STABILITY TO THE NAVIER-STOKES EQUATIONS ON A HALF SPACE
Hieber, Matthias
Nguyen, Thieu Huy
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2024, 17 (5-6): : 1899 - 1910

← 1 2 3 4 5 →