An existence theorem for the Boussinesq equations with non-Dirichlet boundary conditions
Zdeněk Skalák, Petr Kučera (2000)
Applications of Mathematics
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The evolution Boussinesq equations describe the evolution of the temperature and velocity fields of viscous incompressible Newtonian fluids. Very often, they are a reasonable model to render relevant phenomena of flows in which the thermal effects play an essential role. In the paper we prescribe non-Dirichlet boundary conditions on a part of the boundary and prove the existence and uniqueness of solutions to the Boussinesq equations on a (short) time interval. The length of the time...