On a variational approach for Stokes conjecture in water waves: existence of regular waves



Danut Arama
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213, USA
darama@andrew.cmu.edu



Giovanni Leoni
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213, USA
giovanni@andrew.cmu.edu



Abstract: Using the variational approach of Alt and Caffarelli in this paper we give an alternative proof of a theorem of Keady and Norbury on the existence of a family of regular water waves.

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