Some criteria for the symmetry of stratified water waves

Details Some criteria for the symmetry of stratified water waves Some criteria for the symmetry of stratified water waves

2009-03-05

arxiv.org/abs/0903.0908v1

Physics

Mathematical Physics

17 pages, no figures

Scientific paper

This paper considers two-dimensional stably stratified steady periodic gravity water waves with surface profiles monotonic between crests and troughs. We provide sufficient conditions under which such waves are necessarily symmetric. This is done by first exploiting some elliptic structure in the governing equations to show that, in certain size regimes, a maximum principle holds. This then forms the basis for a method of moving planes argument.

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