Non-splat singularity for the one-phase Muskat problem

Córdoba, Diego; Pernas-Castaño, Tania

doi:10.1090/tran6688

Non-splat singularity for the one-phase Muskat problem

Authors: Diego Córdoba and Tania Pernas-Castaño
Journal: Trans. Amer. Math. Soc. 369 (2017), 711-754
MSC (2010): Primary 35Q35
DOI: https://doi.org/10.1090/tran6688
Published electronically: April 14, 2016
MathSciNet review: 3557791
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Abstract: For the water wave equations, the existence of splat singularities has been shown, i.e., the interface self-intersects along an arc in finite time. The aim of this paper is to show the absence of splat singularities for the incompressible fluid dynamics in porous media.

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