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arXiv · 1509.09100

Finite speed of propagation and waiting time for a thin film Muskat problem

Philippe Laurençot·Bogdan-Vasile Matioc
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Abstract

Finite speed of propagation is established for non-negative weak solutions to a thin film approximation of the two-phase Muskat problem. The temporal expansion rate of the support matches the scale invariance of the system. Moreover, we determine sufficient conditions on the initial data for the occurrence of waiting time phenomena.

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Philippe Laurençot, Bogdan-Vasile Matioc. 2015-09-30. Finite speed of propagation and waiting time for a thin film Muskat problem. https://arxiv.org/abs/1509.09100

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