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Séminaire Analyse non linéaire et EDP

Horaires : Le mardi 15 mars 2011, 10h30-11h30

Lieu : IHP, salle 314

Analyticity of the streamlines for periodic traveling free surface water waves with vorticity

Adrian Constantin (Université de Vienne)

The streamlines of periodic irrotational traveling water waves are known to be real-analytic, with exception of the free surface in the case the wave of greatest height which has a corner at the wave crest (the lateral tangents being at an angle of 2\pi/3). The regularity of waves of small and moderate amplitude is, perhaps surprisingly, little affected by the presence of vorticity in the flow. This is joint work with J. Escher.

 

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