Rayleigh-Taylor breakdown for the Muskat problem with applications to water waves
The Muskat problem models the evolution of interface between two different fluids in porous media. The Rayleigh-Taylor condition is natural to reach the linear stability of the Muskat problem. Here, the authors show that the Rayleigh-Taylor condition may hold initially, but break down in finite time. As a consequence, the authors prove the existence of turning of water waves.
scientific article; zbMATH DE number 6025004
scientific article