Stable periodic constant mean curvature surfaces and mesoscopic phase separation
Interfaces and free boundaries, Tome 9 (2007) no. 3, pp. 355-365

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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/168
Classification : 35-XX, 65-XX, 76-XX, 92-XX

Antonio Ros  1

1 Universidad de Granada, Spain
Antonio Ros. Stable periodic constant mean curvature surfaces and mesoscopic phase separation. Interfaces and free boundaries, Tome 9 (2007) no. 3, pp. 355-365. doi: 10.4171/ifb/168
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     author = {Antonio Ros},
     title = {Stable periodic constant mean curvature surfaces and mesoscopic phase separation},
     journal = {Interfaces and free boundaries},
     pages = {355--365},
     year = {2007},
     volume = {9},
     number = {3},
     doi = {10.4171/ifb/168},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/168/}
}
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