Continuous dependence for the Brinkman-Forchheimer fluid interfacing with a Darcy fluid in a bounded domain

This paper studies the continuous dependence of the Forchheimer coefficient λ and the Brinkman coefficient μ in a bounded domain of a viscous fluid interfacing with a porous solid. We assume that the viscous fluid is slow in Ω1, and the governing equations are Brinkman-Forchheimer equations. For the porous medium in Ω2, we suppose that the flow satisfies the Darcy equations. We can get the continuous dependence results of the solutions using the method of differential inequality.