Abstract
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 L∞ norm of the derivative of the initial condition that develop a turning singularity.
Original language | English (US) |
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Article number | 20140278 |
Journal | Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences |
Volume | 373 |
Issue number | 2050 |
DOIs | |
State | Published - Sep 13 2015 |
All Science Journal Classification (ASJC) codes
- General Mathematics
- General Engineering
- General Physics and Astronomy
Keywords
- Incompressible fluid
- Interface
- Muskat problem
- Porous media
- Rayleigh-Taylor