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

被引:0
作者
蔡虹
谭忠
机构
[1] School of Mathematical Sciences, Xiamen University
[2] School of Mathematical Sciences and Fujian Provincial Key Laboratory on Mathematical Modeling and Scientific Computing, Xiamen University
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
O175 [微分方程、积分方程];
学科分类号
070104 ;
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 γ.
引用
收藏
页码:499 / 513
页数:15
相关论文
共 5 条
  • [1] Time-Periodic Solutions to the Full Navier–Stokes–Fourier System
    Eduard Feireisl
    Piotr B. Mucha
    Antonín Novotný
    Milan Pokorný
    [J]. Archive for Rational Mechanics and Analysis, 2012, 204 : 745 - 786
  • [2] On the Existence of Globally Defined Weak Solutions to the Navier-Stokes Equations
    Feireisl, Eduard
    Novotny, Antonin
    Petzeltova, Hana
    [J]. JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2001, 3 (04) : 358 - 392
  • [3] Asymptotic Compactness of Global Trajectories Generated by the Navier–Stokes Equations of a Compressible Fluid[J] . Eduard Feireisl,Hana Petzeltová. Journal of Differential Equations . 2001 (2)
  • [4] On the motion of a viscous compressible fluid driven by a time-periodic external force
    Feireisl, E
    Matusu-Necasová, S
    Petzeltová, H
    Straskraba, I
    [J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1999, 149 (01) : 69 - 96
  • [5] Ordinary differential equations, transport theory and Sobolev spaces[J] . R. J. DiPerna,P. L. Lions. Inventiones mathematicae . 1989 (3)