Stable periodic constant mean curvature surfaces and mesoscopic phase separation
Antonio R�os · Interfaces and Free Boundaries Mathematical Analysis Computation and Applications · 2007
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 $\Omega\_h$ with a quasilinear parabolic one set in the complementary $\Omega\_p=\Omega\backslash \Omega\_h$. The mathematical problem is motivated by physical models for infiltration processes with saturation thresholds.