Global strong solution and exponential decay to the 3D incompressible Bénard system with density-dependent viscosity and vacuum
The authors study solvability of the 3D Rayleigh-Bénard system describing convective motion in a heated layer of viscous fluid with variable density. The existence of a global strong solution is proved, together with some exponential decay estimates, for suitable initial data with small fluctuations.
scientific article; zbMATH DE number 7687338