On the transverse instability of one dimensional capillary-gravity waves

Frédéric Rousset (1) , Nikolay Tzvetkov (2)

1 IRMAR - Institut de Recherche Mathématique de Rennes
2 AGM - UMR 8088 - Analyse, Géométrie et Modélisation

This text represents the content of a talk given by the second author at ENS Paris on January 28, 2009 at the conference "Mathematics and Oceanography". We are grateful to David Gerard-Varet, David Lannes and Laure Saint-Raymond for the kind invitation to present our recent work on the water waves. The proofs of the results announced here will appear in [18].

Domaines: Equations aux dérivées partielles [math.AP]

Frédéric Rousset, Nikolay Tzvetkov. On the transverse instability of one dimensional capillary-gravity waves. Discrete and Continuous Dynamical Systems - Series B, 2010, 13 (4), pp.859-872. ⟨10.3934/dcdsb.2010.13.859⟩. ⟨hal-00521628⟩