We show the solvability of a multidimensional Muskat type initial boundary value problem. The proposed mathematical model describing the transport phenomena of non-homogeneous flow in porous media, relies on a generalized formulation of the Brinkman equation.
Cite this article
Nikolai Chemetov, Wladimir Neves, On a generalized Muskat–Brinkman type problem. Interfaces Free Bound. 16 (2014), no. 3, pp. 339–357DOI 10.4171/IFB/322