Proof of the Stokes conjecture in the theory of surface waves

Studies in Applied Mathematics

Volumn 108, Issue 2, 2002, Pages 217-244

  Plotnikov, P I ^a,b  

^a Lavryentyev Institute of Hydrodynamics   (Russian Federation)

^b LAVRENTYEV INSTITUTE OF HYDRODYNAMICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

SINGULAR POINTS;

SURFACE WAVES;

EID: 0036487479     PISSN: 00222526     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9590.01408     Document Type: Article

References (8)

1. H. Lamb, Hydrodynamics, Cambridge University Press, Cambridge, UK, 1932.
2. J.F. Toland, On the existence of a wave of greatest height and Stokes conjecture, Proc. Roy. Soc. Lond. A 363:469-485 (1978).
3. C.J. Amick and J.F. Toland, Solitary waves of finite amplitude, Arch. Rat. Mech. Anal. 78(4):10-95 (1981).
4. G.M. Goluzin, Geometric Theory of Functions of Complex Variable, Nauka, Moscow, 1966.
5. H. Lewy, A note on harmonic functions and a hydrodynamic application, Proc. Am. Math. Soc. 3:111-113 (1952).
6. V.V. Golubev, Lectures on the Analytic Theory of Differential Equations, Gostehizdat, Moscow-Leningrad, 1950.
7. I.I. Privalov, Boundary Properties of Analytic Functions, Gostehizdat, Moscow, 1950.
8. I.P. Natanson, Theory of Functions of a Real Variable, 3rd ed. Nauka, Moscow, 1974.