Finite speed of propagation and waiting time for a thin film Muskat problem
Analysis of PDEs
2015-10-01 v1
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.
Keywords
Cite
@article{arxiv.1509.09100,
title = {Finite speed of propagation and waiting time for a thin film Muskat problem},
author = {Philippe Laurençot and Bogdan-Vasile Matioc},
journal= {arXiv preprint arXiv:1509.09100},
year = {2015}
}