Geodesic
Analyticity of periodic traveling free surface water waves with vorticity
Adrian Constantin1 ; Joachim Escher2
1 Faculty of Mathematics<br/>University of Vienna<br/> 1089 Vienna<br/> Austria
2 Institut für Angewandte Mathematik<br/>Gottfried Wilhelm Leibniz Universität Hannover<br/> 30167 Hannover<br/> Germany
Annals of mathematics, Tome 173 (2011) no. 1, pp. 559-568.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We prove that the profile of a periodic traveling wave propagating at the surface of water above a flat bed in a flow with a real analytic vorticity must be real analytic, provided the wave speed exceeds the horizontal fluid velocity throughout the flow. The real analyticity of each streamline beneath the free surface holds even if the vorticity is only Hölder continuously differentiable.
DOI : 10.4007/annals.2011.173.1.12

Adrian Constantin 1 ; Joachim Escher 2

1 Faculty of Mathematics<br/>University of Vienna<br/> 1089 Vienna<br/> Austria
2 Institut für Angewandte Mathematik<br/>Gottfried Wilhelm Leibniz Universität Hannover<br/> 30167 Hannover<br/> Germany 
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Adrian Constantin; Joachim Escher. Analyticity of periodic traveling free surface water waves with  vorticity. Annals of mathematics, Tome 173 (2011) no. 1, pp. 559-568. doi : 10.4007/annals.2011.173.1.12. http://geodesic.mathdoc.fr/articles/10.4007/annals.2011.173.1.12/

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