Absence of squirt singularities for the multi-phase Muskat problem

Mathematics – Analysis of PDEs

Scientific paper

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16 pages

Scientific paper

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.

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