an:02117892
Zbl 1109.76013
Buffoni, B.
Existence by minimisation of solitary water waves on an ocean of infinite depth
EN
Ann. Inst. Henri Poincar??, Anal. Non Lin??aire 21, No. 4, 503-516 (2004).
00107084
2004
j
76B15 35B38 35A15 35Q35 35S10 47J30
Capillary-gravity water waves; solitary waves; variational methods
Summary: The abstract minimisation method introduced in a recent work by \textit{E. S??r??, J.F. Toland} and the author [Minimisation methods for quasi-linear problems, with an application to periodic water waves, preprint] gives a new proof of the existence of capillary-gravity solitary water waves on the surface of a two-dimensional ocean of infinite depth. This problem was first studied by \textit{G. Iooss} and \textit{P. Kirrmann} [Arch. Ration. Mech. Anal. 136, 1--19 (1998; Zbl 0879.76011)] in the setting of normal form theory for reversible infinite-dimensional ``spatial'' dynamical systems.
Zbl 0879.76011