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面对海洋表面完整的两大波要素–-张力波和重力波, 构建出一个确定、丰富、基本的有限水深海洋表面波的“3-4-5波共振守恒理论”. 与以往经典、现代的多种结果相比, 充分保证了该理论的“精确性、对称性、完备性”, 为后继、普适的海洋波湍流统计理论提供了一个必备基础.
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关键词:
- 海洋表面波 /
- Hamilton描述 /
- 3-4-5波共振 /
- 波湍流
With respect to the whole of two elemental waves in ocean surface, capillary and gravity waves, a deterministic, rich and fundamental theory of 3-4-5-wave resonance and conservation for ocean surface waves in a finite depth is developed, which presents fully the preciseness, symmetry and completeness as compared with a variety of the classical, modern results, and provides an indispensable basis for the succeeding and universal statistical theory of ocean wave turbulence.[1] Grue J, Trulsen K 2006 Waves in Geophysical Fluids (Berlin: Springer)
[2] Dysthe K, Krogstad H E 2008 Annu. Rev. Fluid Mech. 40 287
[3] Phillips O M 1960 J. Fluid Mech. 9 193
[4] Hasselmann K 1962 J. Fluid Mech. 12 481
[5] Zakharov V E 1968 J. Appl. Mech. Tech. Phys. 9 86
[6] Yuen H C, Lake B M 1982 Adv. Appl. Mech. 22 67
[7] Stiassnime M, Shemer L 1984 J. Fluid Mech. 143 47
[8] Krasitskii V P 1994 J. Fluid Mech. 272 1
[9] Janssen P A E M 2004 The Interaction of Ocean Waves and Wind (Cambridge: Cambridge University Press)
[10] Dias F, Christian K 1999 Annu. Rev. Fluid Mech. 31 301
[11] Huang H 2009 Dynamics of Surface Waves in Coastal Waters (Beijing and Berlin: Higher Education Press and Springer)
[12] Huang H, Xia Y B 2011 Acta Phys. Sin. 60 044702 (in Chinese) [黄虎, 夏应波 2011 物理学报 60 044702]
[13] McGoldrick L F 1965 J. Fluid Mech. 21 305
[14] McLean J W 1982 J. Fluid Mech. 114 331
[15] Mei C C, Stiassnime M, Yue D K P 2005 Theory and Applications of Ocean Surface Waves (Singapore: World Scientific)
[16] Yang C N 1998 Chen Ning Yang's Collection (in Chinese) [杨振宁 1998 杨振宁文集 (上海:华东师范大学出版社)]
[17] Peregrine D H 1976 Adv. Appl. Mech. 16 10
[18] Chen Y Y, Hsu H C, Chang H K 2012 Acta Phys. Sin. 61 034702 (in Chinese) [陈阳益, 许弘莒, 张宪国 2012 物理学报 61 034702]
[19] Zakharov V 1999 Eur. J. Mech. B/Fluids 18 327
[20] Zakharov V E, L'vov V S, Falkovich G 1992 Kolmogorov Spectra of Turbulence I: Wave Turbulence (Berlin: Springer)
[21] Nazarenko S 2011 Wave Turbulence (Berlin: Springer)
[22] Newell A C, Rumpf B 2011 Annu. Rev. Fluid Mech. 43 59
[23] Newell A C, Rumpf B, Zakharov V E 2012 Phys. Rev. Lett. 108 194502
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[1] Grue J, Trulsen K 2006 Waves in Geophysical Fluids (Berlin: Springer)
[2] Dysthe K, Krogstad H E 2008 Annu. Rev. Fluid Mech. 40 287
[3] Phillips O M 1960 J. Fluid Mech. 9 193
[4] Hasselmann K 1962 J. Fluid Mech. 12 481
[5] Zakharov V E 1968 J. Appl. Mech. Tech. Phys. 9 86
[6] Yuen H C, Lake B M 1982 Adv. Appl. Mech. 22 67
[7] Stiassnime M, Shemer L 1984 J. Fluid Mech. 143 47
[8] Krasitskii V P 1994 J. Fluid Mech. 272 1
[9] Janssen P A E M 2004 The Interaction of Ocean Waves and Wind (Cambridge: Cambridge University Press)
[10] Dias F, Christian K 1999 Annu. Rev. Fluid Mech. 31 301
[11] Huang H 2009 Dynamics of Surface Waves in Coastal Waters (Beijing and Berlin: Higher Education Press and Springer)
[12] Huang H, Xia Y B 2011 Acta Phys. Sin. 60 044702 (in Chinese) [黄虎, 夏应波 2011 物理学报 60 044702]
[13] McGoldrick L F 1965 J. Fluid Mech. 21 305
[14] McLean J W 1982 J. Fluid Mech. 114 331
[15] Mei C C, Stiassnime M, Yue D K P 2005 Theory and Applications of Ocean Surface Waves (Singapore: World Scientific)
[16] Yang C N 1998 Chen Ning Yang's Collection (in Chinese) [杨振宁 1998 杨振宁文集 (上海:华东师范大学出版社)]
[17] Peregrine D H 1976 Adv. Appl. Mech. 16 10
[18] Chen Y Y, Hsu H C, Chang H K 2012 Acta Phys. Sin. 61 034702 (in Chinese) [陈阳益, 许弘莒, 张宪国 2012 物理学报 61 034702]
[19] Zakharov V 1999 Eur. J. Mech. B/Fluids 18 327
[20] Zakharov V E, L'vov V S, Falkovich G 1992 Kolmogorov Spectra of Turbulence I: Wave Turbulence (Berlin: Springer)
[21] Nazarenko S 2011 Wave Turbulence (Berlin: Springer)
[22] Newell A C, Rumpf B 2011 Annu. Rev. Fluid Mech. 43 59
[23] Newell A C, Rumpf B, Zakharov V E 2012 Phys. Rev. Lett. 108 194502
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