ASYMPTOTIC-BEHAVIOR OF SOLUTIONS TO THE EXTERIOR PROBLEM FOR THE OBERBECK-BOUSSINESQ EQUATIONS

In an exterior domain, we consider a viscous incompressible heat-conductive, diffusive nonhomogeneous fluid, in the Oberbeck-Boussinesq approximation. We construct global regular solutions with finite kinetic energy and provide a decay rate for the L(2)-norm of such solution.