Periodic waves in unsaturated porous media with hysteresis
Bettina Detmann, Pavel Krejčı́, Elisabetta Rocca · EMS Press eBooks · 2018
We consider a PDE system with degenerate hysteresis describing unsaturated flow in 3D porous media. Assuming that a time periodic forcing is prescribed on the boundary, we prove that a time periodic response exists as long as the amplitude of the forcing terms is small enough to keep the solution within the convexity domain of the hysteresis operator.