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
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by Diego Córdoba and Tania Pernas-Castaño PDF

Trans. Amer. Math. Soc. 369 (2017), 711-754 Request permission

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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