Non-existence of solitary water waves in three dimensions

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 360, Issue 1799, 2002, Pages 2127-2135

  Craig, Walter ^a  

^a MCMASTER UNIVERSITY   (Canada)

Author keywords

Fluid dynamics; Solitary waves; Water waves

Indexed keywords

WATER;

ARTICLE; FLOW KINETICS; METHODOLOGY; MOTION; SURFACE PROPERTY; THEORETICAL MODEL; WATER FLOW;

MODELS, THEORETICAL; MOTION; RHEOLOGY; SURFACE PROPERTIES; WATER; WATER MOVEMENTS;

EID: 0037107483     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2002.1065     Document Type: Article

References (7)

1. Amick, C. J. & Toland, J. F. 1981 On solitary water-waves of finite amplitude. Arch. Ration. Mech. Analysis 76, 9-95.
2. Amick, C. J., Fraenkel, L. E. & Toland, J. F. 1982 On the Stokes conjecture for the wave of extreme form. Acta Math. 148, 193-214.
3. Beale, J. T. 1977 The existence of solitary water waves. Commun. Pure Appl. Math. 30, 373-389.
4. Craig, W. & Sternberg, P. 1988 Symmetry of solitary waves. Commun. PDEs 13, 603-633.
5. Friedrichs, K. O. & Hyers, D. H. 1954 The existence of solitary waves. Commun. Pure Appl. Math. 7, 517-550.
6. Plotnikov, P. I. 1991 Nonuniqueness of solutions of a problem on solitary waves, and bifurcations of critical points of smooth functionals. Izv. Akad. Nauk SSSR Ser. Mat. 55, 339-366. (Transl. 1992 Math. USSR-Izv. 38, 333-357.)
7. Sun, S. M. 1997 Some analytical properties of capillary-gravity waves in two-fluid flows of infinity depth. Proc. R. Soc. Lond. A 453, 1153-1175.