Non-splat singularity for the one-phase Muskat problem

Published 9 Sep 2014 in math.AP | (1409.2483v2)

Abstract: For the water waves equations, the existence of splat singularities has been shown in [3], 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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