In this paper we prove the existence and uniqueness of time global mild solutions to the Navier-Stokes-Oseen equations, which describes dynamics of incompressible viscous fluid flows passing a translating and rotating obstacle, in the solenoidal Lorentz space $L_{\sigma, {\rm{w}}}^3$. Besides, boundedness and polynomial stability of these solutions are also shown.
Viet Duoc TRINH
. TIME GLOBAL MILD SOLUTIONS OF NAVIER-STOKES-OSEEN EQUATIONS[J]. Acta mathematica scientia, Series B, 2021
, 41(2)
: 450
-460
.
DOI: 10.1007/s10473-021-0209-y
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