Continuous Dependence on the Forchheimer Coefficient of the Forchheimer Fluid Interfacing with a Darcy Fluid

الملخص EN

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 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.