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Lombardi, E.; Iooss, G.
Gravity solitary waves with polynomial decay to exponentially small ripples at infinity. Annales de l'I.H.P. Analyse non linéaire, 20 no. 4 (2003), p. 669-704
Texte intégral djvu | pdf | Analyses MR 1981404 | Zbl 1068.76008

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Bibliographie

[1] Amick C., On the theory of internal waves of permanent form in fluids of great depth, Trans. Amer. Math. Soc. 346 (1994) 399-419.  MR 1145726 |  Zbl 0829.76012
[2] Amick C., Toland J., Uniqueness and related analytic properties for the Benjamin–Ono equation – a nonlinear Neumann problem in the plane, Acta Math. 167 (1991) 107-126.  MR 1111746 |  Zbl 0755.35108
[3] Benjamin T.B., Internal waves of permanent form in fluids of great depth, J. Fluid Mech. 29 (1967) 559-592.  Zbl 0147.46502
[4] Davis R.E., Acrivos A., Solitary internal waves in deep water, J. Fluid Mech. 29 (1967) 593-607.  Zbl 0147.46503
[5] F. Dias, G. Iooss, Water-Waves as a Spatial Dynamical System, Handbook of Mathematical Fluid Dynamics, to appear.  MR 1984157 |  Zbl 02019787
[6] Iooss G., Gravity and capillary-gravity periodic travelling waves for two superposed fluid layers, one being of infinite depth, J. Math. Fluid Mech. 1 (1999) 24-61.  MR 1699018 |  Zbl 0926.76020
[7] Iooss G., Lombardi E., Sun S.M., Gravity travelling waves for two superposed fluid layers, one being of infinite depth: a new type of bifurcation, Phil. Trans. R. Soc. London A 360 (2002) 2245-2336.  MR 1949970 |  Zbl 01896123
[8] Levi-Civita T., Détermination rigoureuse des ondes permanentes d'ampleur finie, Math. Annalen 93 (1925) 264-314.  MR 1512238 |  JFM 51.0671.06
[9] Lombardi E., Orbits homoclinic to exponentially small periodic orbits for a class of reversible systems. Application to water waves, Arch. Rat. Mech. Anal. 137 (1997) 227-304.  MR 1463796 |  Zbl 0888.58039
[10] Lombardi E., Oscillatory Integrals and Phenomena Beyond all Algebraic Orders, with Applications to Homoclinic Orbits in Reversible Systems, Lecture Notes in Math., 1741, Springer, 2000.  MR 1770093 |  Zbl 0959.34002
[11] Ono H., Algebraic solitary waves in stratified fluids, J. Phys. Soc. Japan 39 (1975) 1082-1091.  MR 398275
[12] Părău E., Dias F., Interfacial periodic waves of permanent form with free-surface boundary conditions, J. Fluid Mech. 437 (2001) 325-336.  MR 1841797 |  Zbl 1054.76013
[13] Sun S.M., Shen M.C., Exponentially small estimate for the amplitude of capillary ripples of a generalized solitary wave, J. Math. Anal. Appl. 172 (1993) 533-566.  MR 1201004 |  Zbl 0772.76010
[14] Sun S.M., Existence of solitary internal waves in a two-layer fluid of infinite depth, Nonlinear Analysis 30 (8) (1997) 5481-5490.  MR 1726052 |  Zbl 0912.76013
[15] Sun S.M., Nonexistence of truly solitary waves in water with small surface tension, Proc. Roy. London A 455 (1999) 2191-2228.  MR 1702734 |  Zbl 0933.76014
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