Abstract
The symmetry and monotonicity properties of steady periodic gravity water waves are established for arbitrary vorticities if the wave profile is monotone near the trough and every streamline attains a minimum below the trough. The proof uses the method of moving planes.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 2203-2214 |
| Number of pages | 12 |
| Journal | Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences |
| Volume | 365 |
| Issue number | 1858 |
| DOIs | |
| State | Published - Sep 15 2007 |
| Externally published | Yes |
Keywords
- Maximum principles
- Nonlinear elliptic
- Symmetry
- Vorticity
- Water waves
ASJC Scopus subject areas
- General Mathematics
- General Engineering
- General Physics and Astronomy