期刊文献+

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

WEAK TIME-PERIODIC SOLUTIONS TO THE COMPRESSIBLE NAVIER-STOKES EQUATIONS
下载PDF
导出
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. 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.
作者 蔡虹 谭忠
出处 《Acta Mathematica Scientia》 SCIE CSCD 2016年第2期499-513,共15页 数学物理学报(B辑英文版)
基金 supported by National Natural Science Foundation of China-NSAF(11271305,11531010) the Fundamental Research Funds for Xiamen University(201412G004) supported by National Natural Science Foundation of ChinaNSAF(11271305,11531010)
关键词 Compressible fluid Navier-Stokes equations weak time-periodic solutions Compressible fluid Navier-Stokes equations weak time-periodic solutions
  • 相关文献

参考文献13

  • 1Diperna R J, Lions P L. Ordinary differential equations, transport theory and Sobolev spaces. Invent Math, 1989, 98:511-547.
  • 2Feireisl E, Mucha Piotr B, Novotny A, Pokorny M. Time-periodic solutions to the full Navier-Stokes-Fourier system. Arch Ration Mech Anal, 2012, 204:745-786.
  • 3Feireisl E, Necasova S M, Petzeltova H, Stragkraba I. On the motion of a viscous compressible fluid driven by a time periodic external force. Arch Rational Mech Anal, 1999, 149:69-96.
  • 4Feireisl E, Novotny, A, Petzeltova H. On the existence of globally defined weak solutions to the Navier-Stokes equations. J Math Fluid Mech, 2001, 3:358-392.
  • 5Feireisl E, Petzltova H. Asymptotic compactness of globally trajectories generated by the Navier-Stokes equations of a compressible fluid. J Differential Equations, 2001, 173:390-409.
  • 6Feireisl E. Dynamics of viscous compressible fluids. Oxford Lecture Series in Mathematics and its Applica- tions. Vol 26. Oxford: Oxford University Press, 2004.
  • 7Lions P L. Mathematical topics in fluid dynamics. Vol 2. Compressible models. Oxford: Oxford University Press. 1998.
  • 8Lions J L. Quelques methodes de resolution des problemes aux limites non lineaires. Dunod-Gauthier- Villars, 1969.
  • 9Kobayashi T, Suzuki T. Weak solutions to the Navier-Stokes-Poisson equations. Adv Math Sci Appl, 2008, 18(1): 141-168.
  • 10Kobayashi T. Time periodic solutions of the Navier-Stokes equations under general outflow condition. Tokyo J Math, 2009, 32(2): 409-424.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部