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In this paper, we are concerned with the three-dimensional nonhomogeneousB\'enard system with density-dependent viscosity in bounded domain. The globalwell-posedness of strong solution is established, provided that the initialtotal mass is suitably small. In particular, the initial velocity andtemperature can be arbitrarily large. Moreover, the exponential decay of strongsolution is also obtained. It is worth noting that the vacuum of initialdensity is allowed.

Global well-posedness and exponential decay of strong solution to the  three-dimensional nonhomogeneous B\'enard system with density-dependent  viscosity and vacuum