Global existence, singular solutions, and ill‐posedness for the Muskat problem
Global existence, singular solutions, and ill‐posedness for the Muskat problem
Abstract The Muskat, or Muskat‐Leibenzon, problem describes the evolution of the interface between two immiscible fluids in a porous medium or Hele‐Shaw cell under applied pressure gradients or fluid injection/extraction. In contrast to the Hele‐Shaw problem (the one‐phase version of the Muskat problem), there are few nontrivial exact solutions or …