Absence of squirt singularities for the multi-phase Muskat problem

math.AP

/ Authors

/ Abstract

In this paper we study the evolution of multiple fluids with different constant densities in porous media. This physical scenario is known as the Muskat and the (multi-phase) Hele-Shaw problems. In this context we prove that the fluids do not develop squirt singularities.

Absence of squirt singularities for the multi-phase Muskat problem

math.AP

/ Authors

Diego Cordoba, Francisco Gancedo

/ Abstract

In this paper we study the evolution of multiple fluids with different constant densities in porous media. This physical scenario is known as the Muskat and the (multi-phase) Hele-Shaw problems. In this context we prove that the fluids do not develop squirt singularities.