Continuous dependence results for a problem in penetrative convection
Karen A. Ames, Lawrence Edward Payne · Quarterly of Applied Mathematics · 1997
Continuous dependence inequalities are derived for a system of equations that models penetrative convection in a thermally conducting viscous fluid with a linear buoyancy law. Both the forward-in-time problem and the improperly posed backward-in-time problem are analyzed. These results indicate that solutions depend continuously on a parameter in the boundary data.