Akylas, T. R. A nonlinear theory for the generation of water waves by wind. (English) Zbl 0517.76044 Stud. Appl. Math. 67, 1-24 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 9 Documents MSC: 76E20 Stability and instability of geophysical and astrophysical flows 76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction 76E30 Nonlinear effects in hydrodynamic stability 76D10 Boundary-layer theory, separation and reattachment, higher-order effects Keywords:model for initiation of water waves by wind; coalescing normal modes; direct resonance; finite-amplitude oscillatory disturbance; wavelength longer than about 12 cm Citations:Zbl 0055.190 PDFBibTeX XMLCite \textit{T. R. Akylas}, Stud. Appl. Math. 67, 1--24 (1982; Zbl 0517.76044) Full Text: DOI References: [1] Kelvin, Mathematical and Physical Papers IV pp 76– (1910) [2] Jeffreys, Proc. Roy. Soc. A 107 pp 189– (1924) · JFM 51.0673.04 · doi:10.1098/rspa.1925.0015 [3] Phillips, J. Fluid Mech. 2 pp 417– (1957) · Zbl 0078.18102 · doi:10.1017/S0022112057000233 [4] Miles, J. Fluid Mech. 3 pp 185– (1957) · Zbl 0078.40705 · doi:10.1017/S0022112057000567 [5] Miles, J. Fluid Mech. 13 pp 433– (1962) · Zbl 0106.41101 · doi:10.1017/S0022112062000828 [6] Plant, J. Fluid Mech. 82 pp 767– (1977) · doi:10.1017/S0022112077000974 [7] Barnett, Rep. Prog. Phys. 38 pp 667– (1975) · doi:10.1088/0034-4885/38/6/001 [8] Lock, Quart. J. Mech. 4 pp 42– (1951) · Zbl 0042.43002 · doi:10.1093/qjmam/4.1.42 [9] Lock, Proc. Cambridge Philos. Soc. 50 pp 105– (1954) · doi:10.1017/S0305004100029121 [10] Akylas, Stud. Appl. Math. 63 pp 209– (1980) · Zbl 0449.76012 · doi:10.1002/sapm1980633209 [11] Ling, J. Fluid Mech. 59 pp 571– (1973) · Zbl 0265.76055 · doi:10.1017/S0022112073001710 [12] Saric, Phys. Fluids 18 pp 945– (1975) · Zbl 0309.76033 · doi:10.1063/1.861266 [13] M. A. Weissman Report R135, Division of Maritime Science The National Physical Laboratory 1975 [14] Itoh, Trans. Japan Soc. Aero. Space Sci. 36 pp 65– (1974) [15] Akylas, Ph.D. Thesis (1981) [16] Keller, Numerical Methods for Two-Point Boundary-Value Problems (1968) · Zbl 0172.19503 [17] Reynolds, J. Fluid Mech. 27 pp 465– (1967) · Zbl 0166.46102 · doi:10.1017/S0022112067000485 [18] Van Stijn, J. Engrg. Math. 14 pp 17– (1980) · Zbl 0419.76011 · doi:10.1007/BF00042862 [19] Blennerhassett, Philos. Trans. Roy. Soc. London Ser. A 298 pp 43– (1980) · Zbl 0445.76013 · doi:10.1098/rsta.1980.0265 [20] Gupta, J. Fluid Mech. 33 pp 673– (1968) · doi:10.1017/S0022112068001618 [22] Akylas, Stud. Appl. Math. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.