Abstract
Guided by numerical simulations, we present the proof of two results concerning the behaviour of SQG sharp fronts and α-patches. We establish that ellipses are not rotational solutions and we prove that initially convex interfaces may lose this property in finite time.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 5045-5059 |
| Number of pages | 15 |
| Journal | Discrete and Continuous Dynamical Systems- Series A |
| Volume | 34 |
| Issue number | 12 |
| DOIs | |
| State | Published - Dec 2014 |
All Science Journal Classification (ASJC) codes
- Analysis
- Discrete Mathematics and Combinatorics
- Applied Mathematics
Keywords
- Computer-assisted
- Contour dynamics
- Incompressible flow
- Patches
- Surface quasigeostrophic
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