In this note, we show that there exist solutions of the Muskat problem that shift stability regimes: they start unstable, then become stable and finally return to the unstable regime. We also exhibit numerical evidence of solutions with medium-sized norm of the derivative of the initial condition that develop a turning singularity.
One contribution of 15 to a theme issue ‘Free boundary problems and related topics’.
- Accepted February 9, 2015.
- © 2015 The Author(s) Published by the Royal Society. All rights reserved.