Traveling wave solutions of a nonlinear degenerate parabolic system from petroleum engineering
Traveling wave solutions of a nonlinear degenerate parabolic system from petroleum engineering
We study existence and qualitative properties of traveling wave solutions of a new free boundary problem which describes fluid flow in diatomite rocks. Diatomites are rather fragile and are characterized by a low permeability, which can increase due to the nonlocal accumulation of damage caused by the fluid flow. The …