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Absence of Squirt Singularities for the Multi-Phase Muskat Problem

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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.

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Correspondence to Francisco Gancedo.

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Communicated by P. Constantin

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Córdoba, D., Gancedo, F. Absence of Squirt Singularities for the Multi-Phase Muskat Problem. Commun. Math. Phys. 299, 561–575 (2010). https://doi.org/10.1007/s00220-010-1084-x

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  • DOI: https://doi.org/10.1007/s00220-010-1084-x

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