数学物理学报(英文版) ›› 2022, Vol. 42 ›› Issue (1): 233-246.doi: 10.1007/s10473-022-0113-0

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THE GLOBAL EXISTENCE OF STRONG SOLUTIONS TO THE 3D COMPRESSIBLE ISOTHERMAL NAVIER-STOKES EQUATIONS

于海波   

  1. School of Mathematical Sciences, Huaqiao University, Quanzhou, 362021, China
  • 收稿日期:2020-07-23 修回日期:2021-05-26 出版日期:2022-02-25 发布日期:2022-02-24
  • 作者简介:Haibo YU,E-mail:yuhaibo2049@126.com
  • 基金资助:
    This work was partially supported by the National Natural Science Foundation of China (11701192).

THE GLOBAL EXISTENCE OF STRONG SOLUTIONS TO THE 3D COMPRESSIBLE ISOTHERMAL NAVIER-STOKES EQUATIONS

Haibo YU   

  1. School of Mathematical Sciences, Huaqiao University, Quanzhou, 362021, China
  • Received:2020-07-23 Revised:2021-05-26 Online:2022-02-25 Published:2022-02-24
  • Supported by:
    This work was partially supported by the National Natural Science Foundation of China (11701192).

摘要: This paper concerns the global existence of strong solutions to the 3D compressible isothermal Navier-Stokes equations with a vacuum at infinity. Based on the special structure of the Zlotnik inequality, the time uniform upper bounds for density are established through some time-dependant a priori estimates under the assumption that the total mass is suitably small.

关键词: global strong solution, compressible isothermal Navier-Stokes equations, vacuum

Abstract: This paper concerns the global existence of strong solutions to the 3D compressible isothermal Navier-Stokes equations with a vacuum at infinity. Based on the special structure of the Zlotnik inequality, the time uniform upper bounds for density are established through some time-dependant a priori estimates under the assumption that the total mass is suitably small.

Key words: global strong solution, compressible isothermal Navier-Stokes equations, vacuum

中图分类号: 

  • 35Q30