We prove the global existence and exponential decay of strong solutions to the three-dimensional nonhomogeneous asymmetric fluid equations with nonnegative density provided that the initial total energy is suitably small. Note that although the system degenerates near vacuum, there is no need to require compatibility conditions for the initial data via time-weighted techniques.
Guochun WU
,
Xin ZHONG
. GLOBAL STRONG SOLUTION AND EXPONENTIAL DECAY OF 3D NONHOMOGENEOUS ASYMMETRIC FLUID EQUATIONS WITH VACUUM[J]. Acta mathematica scientia, Series B, 2021
, 41(5)
: 1428
-1444
.
DOI: 10.1007/s10473-021-0503-8
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