Geodesic
Traveling wave solutions of a nonlinear degenerate parabolic system from petroleum engineering
Michiel Bertsch1 ; Carlo Nitsch2
1Consiglio Nazionale delle Ricerche, Roma, Italy
2Università degli Studi di Napoli Federico II, Italy
Interfaces and free boundaries, Tome 10 (2008) no. 3, pp. 377-398

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DOI

We study existence and qualitative properties of traveling wave solutions of a new free boundary problem which describes fluid flow in diatomite rocks. Diatomites are rather fragile and are characterized by a low permeability, which can increase due to the nonlocal accumulation of damage caused by the fluid flow. The traveling wave solutions give insight in the behavior near the free boundaries and show a strong parameter dependence. In particular we find in certain parameter ranges solutions with discontinuities across the free boundaries.
DOI : 10.4171/ifb/194
Classification : 35-XX, 65-XX, 76-XX, 92-XX

Michiel Bertsch  1   ; Carlo Nitsch  2

1 Consiglio Nazionale delle Ricerche, Roma, Italy
2 Università degli Studi di Napoli Federico II, Italy 
Michiel Bertsch; Carlo Nitsch. Traveling wave solutions of a nonlinear degenerate parabolic system from petroleum engineering. Interfaces and free boundaries, Tome 10 (2008) no. 3, pp. 377-398. doi: 10.4171/ifb/194
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     title = {Traveling wave solutions of a nonlinear degenerate parabolic system from petroleum engineering},
     journal = {Interfaces and free boundaries},
     pages = {377--398},
     year = {2008},
     volume = {10},
     number = {3},
     doi = {10.4171/ifb/194},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/194/}
}
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