Some exact solutions of the nonlinear problem of water waves.
Denton E. Hewgill, John Reeder, and Marvin Shinbrot
Source: Pacific J. Math. Volume 92, Number 1
(1981), 87-109.
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Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102737500
Zentralblatt MATH identifier: 0462.76013
Zentralblatt MATH identifier: 0405.76012
Mathematical Reviews number (MathSciNet): MR618049
References
[1] S. Agmon, A. Douglis and L. Nirenberg, Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions, II, Comm. Pure and Appl. Math., 17 (1964), 35-92.
Mathematical Reviews (MathSciNet): MR28:5252
Zentralblatt MATH: 0123.28706
[2] Herbert Beckert, Potentialstromungen Idngs eines Kanals mit welliger Kanalsohle, Arch. Rat. Mech. and Anal., 9 (1962),395-402. g. Robert Gerber, Sur les solutions exactes des equations du mouvement avec surface libre d'un liquide pesant, J. de Math., 43 (1955), 185-299.
Mathematical Reviews (MathSciNet): MR25:3652
[4] Yu. P. Krasovskii, The existence of aperiodic flows with free boundaries, Dokl. Akad. Nauk. U.S.S.R., 133 (1960),768-770. English transl. in Soviet Physics, 5 (1960), 684-686.
Mathematical Reviews (MathSciNet): MR22:11707
Zentralblatt MATH: 0101.42602
[5] N.N. Moiseev, On the flow of a heavy liquid over a wavy bottom, Prikl. Mat. Mekh., 21 (1957), 15-20.
Mathematical Reviews (MathSciNet): MR23:B1253
[6] John Reeder and Marvin Shinbrot, The initial problemfor surface waves under gravity, II: the simplest 3-dimensional case, Indiana Univ. Math. J., 25(1976), 1049-1071.
Mathematical Reviews (MathSciNet): MR55:4910
Zentralblatt MATH: 0371.76013
[7] John Reeder and Marvin Shinbrot, The initial value problem for surface waves under gravity, HI: uniformly analytic initial domains, J. Math. Anal, and Appl., 67 (1979), 340-391.
Mathematical Reviews (MathSciNet): MR80f:76004
Zentralblatt MATH: 0408.76007
[8] Marvin Shinbrot, The initial value problem for surface waves under gravity, L the
[9] Marvin Shinbrot and Robert R. Welland, The Cauchy-Koalevskaya theorem, J. Math. Anal, and Appl., 55 (1976), 757-772.
Mathematical Reviews (MathSciNet): MR58:11827
Zentralblatt MATH: 0346.35002
[10] J. J. Stoker, Water Waves, Interscience Publishers, New York, 1957.
Mathematical Reviews (MathSciNet): MR21:2438
Zentralblatt MATH: 0078.40805
Pacific Journal of Mathematics
