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.
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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