Symmetry of steady periodic water waves with vorticity.
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.
Mikyoung Hur
Vera
V
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139-4307, USA. verahur@math.mit.edu