Dual free boundaries for Stokes waves;Une formulation duale des ondes de Stokes

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 332, Issue 1, 2001, Pages 73-78

  Buffoni, Boris ^a   Toland, John Francis ^b  

^a EPFL   (Switzerland)

^b University of Bath   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035217235     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(00)01761-4     Document Type: Article

References (9)

1. Babenko K.I., Some remarks on the theory of surface waves of finite amplitude, Soviet Math. Doklady 35 (3) (1987) 599-603. [See also loc. cit. 647-650).]
2. Babenko K.I., Some remarks on the theory of surface waves of finite amplitude, Soviet Math. Doklady 35 (3) (1987) 599-603. [See also loc. cit. 647-650).]
3. Balk A.M., A Lagrangian for water waves, Phys. Fluids 8 (2) (1996) 416-420.
4. Buffoni B., Dancer E.N., Toland J.F., Sur les ondes de Stokes et une conjecture de Levi-Civita, C. R. Acad. Sci. Paris, Série I 326 (1998) 1265-1268. [See also Arch. Rational Mech. Anal. 152 (2000) 207-271.]
5. Buffoni B., Dancer E.N., Toland J.F., Sur les ondes de Stokes et une conjecture de Levi-Civita, C. R. Acad. Sci. Paris, Série I 326 (1998) 1265-1268. [See also Arch. Rational Mech. Anal. 152 (2000) 207-271.]
6. Dyachenko A.I., Kuznetsov E.A., Spector M.D., Zakharov V.E., Analytic description of the free surface dynamics of an ideal fluid (canonical formalism and conformal mapping), Phys. Lett. A 1 (1996) 73-79.
7. Plotnikov P.I., Non-uniqueness of solutions of the problem of solitary waves and bifurcation of critical points of smooth functionals, Math. USSR Izvestiya 38 (2) (1992) 333-357.
8. Shargorodsky E., Toland J.F., A Riemann-Hilbert Problem and the Bernoulli Boundary Condition in the Variational Theory of Stokes Waves, Preprint.
9. Toland J.F., Stokes waves in Hardy spaces and as distributions, J. Math. Pure et Appl. 79 (9) (2000) 901-917.