Abstract
The one-dimensional filtration of an incompressible liquid in a homogeneous, isotropic, rigid porous medium is considered. The bottom of the layer is impermeable, whereas on the top surface a Signorini-type boundary condition is imposed. Existence and uniqueness of the weak solution are proved under general conditions. Then some qualitative properties of the solution and its asymptotic behaviour are analyzed. In particular, the characterization of the set $D \equiv \{ {t:u(0,t) = 0} \}$ is discussed.
Full Text
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call