메뉴 건너뛰기




Volumn 341, Issue , 1997, Pages 295-315

Nonlinear ripples of Kelvin-Helmholtz type which arise from an interfacial mode interaction

Author keywords

[No Author keywords available]

Indexed keywords

GRAVITY WAVES; HARMONIC ANALYSIS; INTERFACES (MATERIALS); MODAL ANALYSIS; NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 0031171389     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112097005624     Document Type: Article
Times cited : (16)

References (34)
  • 1
    • 0039234635 scopus 로고
    • Local and global aspects of the (1, n) mode interaction for capillary-gravity waves
    • ASTON, P. J. 1991 Local and global aspects of the (1, n) mode interaction for capillary-gravity waves, Physica D 52, 415-428.
    • (1991) Physica D , vol.52 , pp. 415-428
    • Aston, P.J.1
  • 2
    • 38249002760 scopus 로고
    • Understanding the global solutions of the capillary gravity wave problem
    • ASTON, P. J. 1993 Understanding the global solutions of the capillary gravity wave problem. Wave Motion 17, 113-141.
    • (1993) Wave Motion , vol.17 , pp. 113-141
    • Aston, P.J.1
  • 3
    • 84974336691 scopus 로고
    • The disintegration of wavetrains on deep water. Part 1. Theory
    • BENJAMIN, T. B. & FEIR, J. E. 1967 The disintegration of wavetrains on deep water. Part 1. Theory. J. Fluid Mech. 27, 417-430.
    • (1967) J. Fluid Mech. , vol.27 , pp. 417-430
    • Benjamin, T.B.1    Feir, J.E.2
  • 4
    • 0025475681 scopus 로고
    • Capillary-gravity Kelvin-Helmholtz waves close to resonance
    • BONTOZOGLOU, V. & HANRATTY, T. J. 1990 Capillary-gravity Kelvin-Helmholtz waves close to resonance. J. Fluid Mech. 217, 71-91.
    • (1990) J. Fluid Mech. , vol.217 , pp. 71-91
    • Bontozoglou, V.1    Hanratty, T.J.2
  • 5
    • 0012945442 scopus 로고
    • A proof of the Benjamin-Feir instability
    • BRIDGES, T. J. & MIELKE, A. 1995 A proof of the Benjamin-Feir instability. Arch. Rat. Mech. Anal. 133, 145-198.
    • (1995) Arch. Rat. Mech. Anal. , vol.133 , pp. 145-198
    • Bridges, T.J.1    Mielke, A.2
  • 7
    • 0018478401 scopus 로고
    • Steady gravity-capillary waves on deep water - 1. Weakly nonlinear waves
    • CHEN, B. & SAFFMAN, P. G. 1979 Steady gravity-capillary waves on deep water - 1. Weakly nonlinear waves. Stud. Appl. Maths 60, 183-210.
    • (1979) Stud. Appl. Maths , vol.60 , pp. 183-210
    • Chen, B.1    Saffman, P.G.2
  • 8
    • 0018999872 scopus 로고
    • Steady capillary-gravity waves on deep water - II. Numerical results for finite amplitude
    • CHEN, B. & SAFFMAN, P. G. 1980 Steady capillary-gravity waves on deep water - II. Numerical results for finite amplitude. Stud. Appl. Maths 62, 95-111.
    • (1980) Stud. Appl. Maths , vol.62 , pp. 95-111
    • Chen, B.1    Saffman, P.G.2
  • 9
    • 0000958580 scopus 로고
    • The 1:2 resonance with O(2) symmetry and its applications in hydrodynamics
    • CHOSSAT, P. & DIAS, F. 1995 The 1:2 resonance with O(2) symmetry and its applications in hydrodynamics. J. Nonlinear Sci. 5, 105-129.
    • (1995) J. Nonlinear Sci. , vol.5 , pp. 105-129
    • Chossat, P.1    Dias, F.2
  • 10
    • 0028410689 scopus 로고
    • Resonant capillary-gravity interfacial waves
    • CHRISTODOULIDES, P. & DIAS, F. 1994 Resonant capillary-gravity interfacial waves. J. Fluid Mech. 265, 303-343.
    • (1994) J. Fluid Mech. , vol.265 , pp. 303-343
    • Christodoulides, P.1    Dias, F.2
  • 11
    • 0029414228 scopus 로고
    • Stability of capillary-gravity waves between two bounded fluids
    • CHRISTODOULIDES, P. & DIAS, F. 1995 Stability of capillary-gravity waves between two bounded fluids. Phys. Fluids 12, 3013-3027.
    • (1995) Phys. Fluids , vol.12 , pp. 3013-3027
    • Christodoulides, P.1    Dias, F.2
  • 13
    • 0000541374 scopus 로고
    • On three dimensional packets of surface waves
    • DAVEY, A. & STEWARTSON, K. 1974 On three dimensional packets of surface waves. Proc. R. Soc. Lond. A 338, 101-110.
    • (1974) Proc. R. Soc. Lond. A , vol.338 , pp. 101-110
    • Davey, A.1    Stewartson, K.2
  • 14
    • 0017471194 scopus 로고
    • On two-dimensional packets of capillary-gravity waves
    • DJORDJEVIC, V. D. & REDEKOPP, L. G. 1977 On two-dimensional packets of capillary-gravity waves. J. Fluid Mech. 79, 703-714.
    • (1977) J. Fluid Mech. , vol.79 , pp. 703-714
    • Djordjevic, V.D.1    Redekopp, L.G.2
  • 15
    • 0000492467 scopus 로고
    • Note on a modification to the nonlinear Schrödinger equation for application to deep water waves
    • DYSTHE, K. B. 1979 Note on a modification to the nonlinear Schrödinger equation for application to deep water waves. Proc. R. Soc. Lond. A 369, 105-114.
    • (1979) Proc. R. Soc. Lond. A , vol.369 , pp. 105-114
    • Dysthe, K.B.1
  • 16
    • 0027386394 scopus 로고
    • Resonant interactions among surface water waves
    • HAMMACK, J. L. & HENDERSON, D. M. 1993 Resonant interactions among surface water waves. Ann. Rev. Fluid Mech. 25, 55-97.
    • (1993) Ann. Rev. Fluid Mech. , vol.25 , pp. 55-97
    • Hammack, J.L.1    Henderson, D.M.2
  • 17
    • 0000547485 scopus 로고
    • Nonlinear modulation of gravity waves
    • HASIMOTO, H. & ONO, H. 1972 Nonlinear modulation of gravity waves. J. Phys. Soc. Japan 33, 805-811.
    • (1972) J. Phys. Soc. Japan , vol.33 , pp. 805-811
    • Hasimoto, H.1    Ono, H.2
  • 18
    • 0011698332 scopus 로고
    • Nonlinear stability of resonant capillary-gravity waves
    • JONES, M. C. W. 1992 Nonlinear stability of resonant capillary-gravity waves. Wave Motion 15, 267-283.
    • (1992) Wave Motion , vol.15 , pp. 267-283
    • Jones, M.C.W.1
  • 19
    • 0027334112 scopus 로고
    • On coupled differential equations which model the evolution of interacting capillary-gravity wave modes and related questions of stability
    • JONES, M. C. W. 1993 On coupled differential equations which model the evolution of interacting capillary-gravity wave modes and related questions of stability. IMA J. App. Maths 50, 13-28.
    • (1993) IMA J. App. Maths , vol.50 , pp. 13-28
    • Jones, M.C.W.1
  • 20
    • 0010369123 scopus 로고
    • Further results on the stability of symmetric and asymmetric resonant capillary-gravity waves
    • JONES, M. 1994a Further results on the stability of symmetric and asymmetric resonant capillary-gravity waves. Japan J. Ind. Appl Maths 11, 465-483.
    • (1994) Japan J. Ind. Appl Maths , vol.11 , pp. 465-483
    • Jones, M.1
  • 21
    • 0642365844 scopus 로고
    • On the stability of finite-depth capillary-gravity waves by means of the fourth order evolution equation
    • JONES, M. 1994b On the stability of finite-depth capillary-gravity waves by means of the fourth order evolution equation. Can. Appl. Maths Q. 2, 325-348.
    • (1994) Can. Appl. Maths Q. , vol.2 , pp. 325-348
    • Jones, M.1
  • 22
    • 0022904427 scopus 로고
    • Symmetry and the bifurcation of capillary-gravity waves
    • JONES, M. & TOLAND, J. 1986 Symmetry and the bifurcation of capillary-gravity waves. Arch. Rat. Mech. Anal. 96, 29-53.
    • (1986) Arch. Rat. Mech. Anal. , vol.96 , pp. 29-53
    • Jones, M.1    Toland, J.2
  • 23
    • 0022811330 scopus 로고
    • Weakly nonlinear Kelvin-Helmholtz waves
    • MILES, J. W. 1986a Weakly nonlinear Kelvin-Helmholtz waves. J. Fluid Mech. 172, 513-529.
    • (1986) J. Fluid Mech. , vol.172 , pp. 513-529
    • Miles, J.W.1
  • 24
    • 0022806368 scopus 로고
    • Weakly nonlinear waves in a stratified fluid: A variational formulation
    • MILES, J. W. 1986b Weakly nonlinear waves in a stratified fluid: a variational formulation. J. Fluid Mech. 172, 499-512.
    • (1986) J. Fluid Mech. , vol.172 , pp. 499-512
    • Miles, J.W.1
  • 25
    • 0014937752 scopus 로고
    • Finite amplitude surface waves in a liquid layer
    • NAYFEH, A. H. 1970 Finite amplitude surface waves in a liquid layer. J. Fluid Mech. 40, 671-684.
    • (1970) J. Fluid Mech. , vol.40 , pp. 671-684
    • Nayfeh, A.H.1
  • 26
    • 84959651542 scopus 로고
    • Third harmonic resonance in the interaction of capillary and gravity waves
    • NAYFEH, A. H. 1971 Third harmonic resonance in the interaction of capillary and gravity waves. J. Fluid Mech. 48, 384-395.
    • (1971) J. Fluid Mech. , vol.48 , pp. 384-395
    • Nayfeh, A.H.1
  • 27
    • 84974082080 scopus 로고
    • Nonlinear waves in a Kelvin-Helmholtz flow
    • NAYFEH, A. H. & SARIC, W. S. 1972 Nonlinear waves in a Kelvin-Helmholtz flow. J. Fluid Mech. 55, 311-327.
    • (1972) J. Fluid Mech. , vol.55 , pp. 311-327
    • Nayfeh, A.H.1    Saric, W.S.2
  • 28
    • 0004640716 scopus 로고
    • Some nonlinear properties of long-crested periodic waves with length near 2.44 centimetres
    • PIERSON, W. J. & FIFE, P. 1961 Some nonlinear properties of long-crested periodic waves with length near 2.44 centimetres. J. Geophys. Res. 66, 163-179.
    • (1961) J. Geophys. Res. , vol.66 , pp. 163-179
    • Pierson, W.J.1    Fife, P.2
  • 29
    • 0018547535 scopus 로고
    • Numerical solution of the exact equations for capillary-gravity waves
    • SCHWARTZ, L. W. & VANDEN-BROECK, J.-M. 1979 Numerical solution of the exact equations for capillary-gravity waves. J. Fluid Mech. 95, 119-139.
    • (1979) J. Fluid Mech. , vol.95 , pp. 119-139
    • Schwartz, L.W.1    Vanden-Broeck, J.-M.2
  • 30
    • 0022421262 scopus 로고
    • The bifurcation and secondary bifurcation of capillary-gravity waves
    • TOLAND, J. F. & JONES, M. C. W. 1985 The bifurcation and secondary bifurcation of capillary-gravity waves. Proc. R. Soc. Lond. A 399, 391-417.
    • (1985) Proc. R. Soc. Lond. A , vol.399 , pp. 391-417
    • Toland, J.F.1    Jones, M.C.W.2
  • 31
    • 0030283527 scopus 로고    scopus 로고
    • A modified nonlinear Schrödinger equation for broader bandwidth gravity waves on deep water
    • to appear
    • TRULSEN, K. & DYSTHE, K. B. 1996 A modified nonlinear Schrödinger equation for broader bandwidth gravity waves on deep water. Wave Motion. (to appear).
    • (1996) Wave Motion
    • Trulsen, K.1    Dysthe, K.B.2
  • 32
    • 0000334516 scopus 로고
    • On ripples
    • WILTON, J. R. 1915 On ripples. Phil. Mag. (6) 29, 688-700.
    • (1915) Phil. Mag. , vol.29 , Issue.6 , pp. 688-700
    • Wilton, J.R.1
  • 33
    • 34250447917 scopus 로고
    • Stability of periodic waves of finite amplitude on the surface of a deep fluid
    • ZAKHAROV, V. E. 1968 Stability of periodic waves of finite amplitude on the surface of a deep fluid. J. Appl. Mech. Tech. Phys. 2, 190-194.
    • (1968) J. Appl. Mech. Tech. Phys. , vol.2 , pp. 190-194
    • Zakharov, V.E.1
  • 34
    • 0023089188 scopus 로고
    • Three dimensional instabilities of nonlinear gravity-capillary waves
    • ZHANG, J. & MELVILLE, W. K. 1987 Three dimensional instabilities of nonlinear gravity-capillary waves. J. Fluid Mech. 174, 187-208.
    • (1987) J. Fluid Mech. , vol.174 , pp. 187-208
    • Zhang, J.1    Melville, W.K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.