Non-splat singularity for the one-phase Muskat problem
Analysis of PDEs
2015-02-24 v2
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.
Cite
@article{arxiv.1409.2483,
title = {Non-splat singularity for the one-phase Muskat problem},
author = {Diego Córdoba and Tania Pernas-Castaño},
journal= {arXiv preprint arXiv:1409.2483},
year = {2015}
}