Geodesic
Obstacle problems for a coupling of quasilinear hyperbolic-parabolic equations
Laurent Lévi1
1Université de Pau et des Pays de l'Adour, France
Interfaces and free boundaries, Tome 9 (2007) no. 3, pp. 331-354

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DOI

We establish the existence and uniqueness of the solution to some inner obstacle problems for a coupling of a multidimensional quasilinear first-order hyperbolic equation set in a region Ωh​ with a quasilinear parabolic one set in the complementary Ωp​=Ω\Ωh​. The mathematical problem is motivated by physical models for infiltration processes with saturation thresholds.
DOI : 10.4171/ifb/167
Classification : 35-XX, 65-XX, 76-XX, 92-XX

Laurent Lévi  1

1 Université de Pau et des Pays de l'Adour, France 
Laurent Lévi. Obstacle problems for a coupling of quasilinear hyperbolic-parabolic equations. Interfaces and free boundaries, Tome 9 (2007) no. 3, pp. 331-354. doi: 10.4171/ifb/167
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     title = {Obstacle problems for a coupling of quasilinear hyperbolic-parabolic equations},
     journal = {Interfaces and free boundaries},
     pages = {331--354},
     year = {2007},
     volume = {9},
     number = {3},
     doi = {10.4171/ifb/167},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/167/}
}
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