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 the existence of double stability shifting in the direction opposite to (as well as more difficult and more surprising than) the one shown by Cordoba et al.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 367-378 |
| Number of pages | 12 |
| Journal | Analysis and PDE |
| Volume | 10 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2017 |
All Science Journal Classification (ASJC) codes
- Analysis
- Numerical Analysis
- Applied Mathematics
Keywords
- Computer-assisted
- Incompressible fluid
- Interface
- Muskat problem
- Porous media
- Rayleigh-Taylor
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