Continuous dependence on the Forchheimer coefficient of the Forchheimer fluid interfacing with a Darcy fluid (Q2657234)

Summary: The continuous dependence of the two fluids which interface with each other in a bounded domain is derived. It is first shown how to establish the a \textit{priori} results for the solutions for the flow in a bounded domain occupied by a viscous fluid in contact with a porous solid. It is also proved that the solution depends continuously on the Forchheimer coefficient.