Geodesic
On a generalized Muskat–Brinkman type problem
Nikolai Chemetov1 ; Wladimir Neves2
1Universidade de Lisboa, Portugal
2Universidade Federal do Rio de Janeiro, Rio De Janeiro, Brazil
Interfaces and free boundaries, Tome 16 (2014) no. 3, pp. 339-357

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DOI

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.
DOI : 10.4171/ifb/322
Classification : 35-XX, 76-XX
Mots-clés : Muskat problem, initial-boundary value problem, solvability

Nikolai Chemetov  1   ; Wladimir Neves  2

1 Universidade de Lisboa, Portugal
2 Universidade Federal do Rio de Janeiro, Rio De Janeiro, Brazil 
Nikolai Chemetov; Wladimir Neves. On a generalized Muskat–Brinkman type problem. Interfaces and free boundaries, Tome 16 (2014) no. 3, pp. 339-357. doi: 10.4171/ifb/322
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     author = {Nikolai Chemetov and Wladimir Neves},
     title = {On a generalized {Muskat{\textendash}Brinkman} type problem},
     journal = {Interfaces and free boundaries},
     pages = {339--357},
     year = {2014},
     volume = {16},
     number = {3},
     doi = {10.4171/ifb/322},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/322/}
}
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