Periodic Stability of Flow in Partially Saturated Porous Media
Nobuyuki Kenmochi, Masahiro Kubo · Birkhäuser Basel eBooks · 1990
Let Ω⊂R N (N≥2) be a bounded domain which refers to a region occupied with porous medium. Nonsteady saturated-unsaturated flow of an incompressible fluid through Ω is governed by an equation of the following form (cf. Alt [1], Alt-Luckhaus-Visintin [3] and Kenmochi-Pawlow [12]): $${{\partial }_{t}}b(u)- abla \times [ abla u+k(u)]~=~0~in~J\times $$ (0.1)