Mathematical Aspects of Penetrative Convection

Introduction; continuous dependence on the heat supply and body force; continuous dependence on the heat supply with a nonlinear equation of state; continuous dependence on the heat source (and body force) for solutions to the equations of flow through porous media; continuous dependence results for equations involving thermal and salt fields; continuous dependence and uniqueness on an unbounded spatial domain; existence theory or power series solutions to convection models capable of describing penetrative convection; penetrative convection driven by internal heat generation; penetrative convection near the density maximum; time dependent modal analyses in penetrative convection; boundary layer similarity analyses in penetrative convection; penetrative convection in an anisotropic porous medium.