On a generalized Muskat–Brinkman type problem

  • Nikolai Chemetov

    Universidade de Lisboa, Portugal
  • Wladimir Neves

    Universidade Federal do Rio de Janeiro, Rio De Janeiro, Brazil

Abstract

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. 339–357

DOI 10.4171/IFB/322