|
Plenary lectureAnalyticity of Rotational Travelling Water Waves |
Joachim Escher, Gottfried Wilhelm Leibniz Universität Hannover, Germany
|
|
Of concern is the regularity of solutions to the classical water
wave problem for two-dimensional Euler flows with vorticity. It is
shown that the profile together with all streamlines beneath a
periodic water wave travelling over a flat bed are real-analytic
curves, provided that the vorticity function is merely integrable
and that there are no stagnation points in the flow. It is
furthermore exposed that the analyticity of streamlines can be used
to characterise intrinsically symmetric water waves.
|
| Print version |
|
