Steady three-dimensional water-wave patterns on a finite-depth fluidTraveling gravity water waves in two and three dimensions, J.Fluid Mech, vol.436, issue.21, pp.145-175, 2001. ,
The modulational regime of three-dimensional water waves and the Davey-Stewartson system Water waves as a spatial dynamical system Nonlinear gravity and capillary-gravity waves, Handbook of Mathematical Fluid Dynamics, pp.323-359, 1952. ,
Existence and conditional energetic stability of three-dimensional fully localised solitary gravity-capillary water waves Preprint (2009) Gro2 9. Groves, M.: An existence theory for three-dimensional periodic travelling gravity-capillary water waves with bounded transverse profiles Grov-Harag 10 A bifurcation theory for three-dimensional oblique travelling gravity-capillary water waves, J.Nonlinear Sci, vol.13, pp.395-415, 2001. ,
A spatial dynamics approach to three-dimensional gravity-capillary steady water waves Ham-Hend-Seg 12 Progressive waves with persistent, twodimensional surface patterns in deep water Three-dimensional steady capillarygravity wavesErgodic theory, Analysis and efficient simulation of dynamical systems, Analyticity of Dirichlet-Neumann operators on Hölder and Lipschitz domains. SIAM J. Math. Anal, pp.83-136, 2001. ,
Standing Waves on an Infinitely Deep Perfect Fluid Under Gravity, Archive for Rational Mechanics and Analysis, vol.2, issue.3, pp.367-478, 2005. ,
DOI : 10.1007/s00205-005-0381-6
URL : https://hal.archives-ouvertes.fr/hal-00009222
Wave solutions of reversible systems and applications Lannes 18. Lannes, D.: Well-posedness of the water-waves equations LeviCivita 19. Levi-Civita, T.: Détermination rigoureuse des ondes permanentes d'ampleur finie Minimal solutions of variational problems on a torus, Moser1 21. Moser,J.: A stability theorem for minimal foliations on a torus. Ergodic Th. & Dynamical syst. 8* Nekrasov 22. Nekrasov, A.I.: On waves of permanent type. Izv. Ivanovo-Voznesensk. Politekhn . Inst, pp.940-113, 1921. ,
Reed-Shin 24 Three-dimensional, nonlinear wave interaction in water of constant depth The calculation of nonlinear short-crested gravity waves, Anal. Non Linéaire Nonlinear Anal., T.M.A. Phys. Fluids, vol.21, issue.26, pp.673-688, 1981. ,
Spatial problem of determination of steady waves of finite amplitude (russian) On the theory of oscillatory waves Stability of periodic waves of finite amplitude on the surface of a deep fluid, Dokl. Akad. Nauk SSSR (N.S.) Trans. Camb. Phil. Soc. J.Appl. Mech. Tech. Phys, vol.89, issue.9, pp.25-28, 1953. ,