Interfaces and Free Boundaries

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Volume 16, Issue 3, 2014, pp. 339–357
DOI: 10.4171/IFB/322

Published online: 2014-09-19

On a generalized Muskat–Brinkman type problem

Nikolai Chemetov[1] and Wladimir Neves[2]

(1) Universidade de Lisboa, Portugal
(2) Universidade Federal do Rio de Janeiro, Rio De Janeiro, Brazil

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.

Keywords: Muskat problem, initial-boundary value problem, solvability

Chemetov Nikolai, Neves Wladimir: On a generalized Muskat–Brinkman type problem. Interfaces Free Bound. 16 (2014), 339-357. doi: 10.4171/IFB/322