A note on stability shifting for the Muskat problem II: Stable to Unstable and back to Stable
Analysis of PDEs
2017-03-08 v1
Abstract
In this note, we show that there exist solutions of the Muskat problem which shift stability regimes in the following sense: they start stable, then become unstable, and finally return back to the stable regime. This proves existence of double stability shifting in the direction opposite to the one shown in [C\'ordoba, G\'omez-Serrano, Zlato\v{s}, A note on stability shifting for the Muskat problem. Phil. Trans. Roy. Soc. A, 373 (20140278), 2015]
Keywords
Cite
@article{arxiv.1512.02564,
title = {A note on stability shifting for the Muskat problem II: Stable to Unstable and back to Stable},
author = {Diego Córdoba and Javier Gómez-Serrano and Andrej Zlatoš},
journal= {arXiv preprint arXiv:1512.02564},
year = {2017}
}
Comments
9 pages, plus 3 appendices of 15 pages, approx. 10.000 lines of code