On the dam problem with two fluids governed by a nonlinear Darcy's law
On the dam problem with two fluids governed by a nonlinear Darcy's law
We consider the problem of two fluids flow through a porous medium governed by a nonlinear law. We prove the existence of a weak solution, establish the local Lipschitz continuity of this solution in the zone above the lower fluid, and prove the continuity of the upper free boundary. In …