On the existence and uniqueness of the stationary solution to the equations of natural convection (Q1176134)

The author investigates existence and uniqueness of weak solutions for a velocity temperature coupled stationary convection driven Reynolds system in a bounded domain of \(\mathbb{R}_ n\), \(n\geq 2\). On the boundary the velocity is assumed to be zero and for the temperature a mixed Dirichlet- Neumann condition is considered. For the existence proof the author uses the Galerkin method.