Articles

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

  • Haibo YU
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  • School of Mathematical Sciences, Huaqiao University, Quanzhou, 362021, China

Received date: 2020-07-23

  Revised date: 2021-05-26

  Online published: 2022-02-24

Supported by

This work was partially supported by the National Natural Science Foundation of China (11701192).

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.

Cite this article

Haibo YU . THE GLOBAL EXISTENCE OF STRONG SOLUTIONS TO THE 3D COMPRESSIBLE ISOTHERMAL NAVIER-STOKES EQUATIONS[J]. Acta mathematica scientia, Series B, 2022 , 42(1) : 233 -246 . DOI: 10.1007/s10473-022-0113-0

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