Growth in the Muskat problem
Rafael Granero-Belinchón, Omar Lazar · Mathematical Modelling of Natural Phenomena · 2020
We review some recent results on the Muskat problem modelling multiphase flow in porous media. Furthermore, we prove a new regularity criteria in terms of some norms of the initial data in critical spaces (Ẇ1,∞ and Ḣ3∕2).