메뉴 건너뛰기




Volumn 453, Issue 1961, 1997, Pages 1153-1175

Some analytical properties of capillary-gravity waves in two-fluid flows of infinite depth

Author keywords

[No Author keywords available]

Indexed keywords

FLUID FLOW; GRAVITY WAVES; INCOMPRESSIBLE FLUIDS; WAVES;

EID: 0030775783     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.1997.0064     Document Type: Article
Times cited : (20)

References (26)
  • 1
    • 84968512861 scopus 로고
    • On the theory of internal waves of permanent form in fluids of great depth
    • Amick, C. J. 1994 On the theory of internal waves of permanent form in fluids of great depth. Thins. AMS 346, 399-419.
    • (1994) Thins. AMS , vol.346 , pp. 399-419
    • Amick, C.J.1
  • 2
    • 0002244618 scopus 로고
    • A theory of solitary water-waves in the presence of surface tension
    • Amick, C. J. & Kirchgässner, K. 1989 A theory of solitary water-waves in the presence of surface tension. Arch. Ration. Mech. Analysis 105, 1-49.
    • (1989) Arch. Ration. Mech. Analysis , vol.105 , pp. 1-49
    • Amick, C.J.1    Kirchgässner, K.2
  • 3
    • 84902775564 scopus 로고
    • Internal waves of permanent form in fluids of great depth
    • Benjamin, T. B. 1967 Internal waves of permanent form in fluids of great depth. J. Fluid Mech. 29, 559-592.
    • (1967) J. Fluid Mech. , vol.29 , pp. 559-592
    • Benjamin, T.B.1
  • 4
    • 0029413352 scopus 로고
    • Spatial bifurcations of interfacial waves when the phase and group velocities are nearly equal
    • Bridges, T. J., Christodoulides, P. & Dias, P. 1995 Spatial bifurcations of interfacial waves when the phase and group velocities are nearly equal. J. Fluid Mech. 295, 121-158.
    • (1995) J. Fluid Mech. , vol.295 , pp. 121-158
    • Bridges, T.J.1    Christodoulides, P.2    Dias, P.3
  • 5
    • 0001285865 scopus 로고
    • Symmetry of solitary waves
    • Craig, W. & Sternberg, P. 1988 Symmetry of solitary waves. Commun. PDE 13, 603-633.
    • (1988) Commun. PDE , vol.13 , pp. 603-633
    • Craig, W.1    Sternberg, P.2
  • 7
    • 77955587949 scopus 로고
    • Solitary internal waves in deep water
    • Davis, R; E. & Acrivos, A. 1967 Solitary internal waves in deep water. J. Fluid Mech. 29, 593-607.
    • (1967) J. Fluid Mech. , vol.29 , pp. 593-607
    • Davis, R.1    Acrivos, A.2
  • 8
    • 0000514133 scopus 로고
    • Capillary-gravity solitary waves with damped oscillations
    • Dias, F. & looss, G. 1993 Capillary-gravity solitary waves with damped oscillations. Physica D 65, 399-423.
    • (1993) Physica D , vol.65 , pp. 399-423
    • Dias, F.1    Looss, G.2
  • 10
    • 33746447115 scopus 로고
    • Elliptic partial differential equations of second order, 2nd edn
    • Gilbarg, G. & Trudinger, N. S. 1983 Elliptic partial differential equations of second order, 2nd edn. Berlin: Springer.
    • (1983) Berlin: Springer.
    • Gilbarg, G.1    Trudinger, N.S.2
  • 11
    • 0000577941 scopus 로고
    • Extreme interfacial waves
    • Grimshaw, R. H. & Pullin, D. I. 1986 Extreme interfacial waves. Phys. Fluids 29, 2802-2807.
    • (1986) Phys. Fluids , vol.29 , pp. 2802-2807
    • Grimshaw, R.H.1    Pullin, D.I.2
  • 12
    • 0018504064 scopus 로고
    • Large amplitude progressive interfacial waves
    • Holyer, J. Y. 1979 Large amplitude progressive interfacial waves. J. Fluid Mech. 93, 433-448.
    • (1979) J. Fluid Mech. , vol.93 , pp. 433-448
    • Holyer, J.Y.1
  • 13
    • 0000594292 scopus 로고
    • Bifurcation d'ondes solitaires en preésence d'une faible tension superficielle
    • looss, G. & Kirchgässner, K. 1990 Bifurcation d'ondes solitaires en preésence d'une faible tension superficielle. C. R. Acad. Sci. Paris Sér. I Math. 311, 265-268.
    • (1990) C. R. Acad. Sci. Paris Sér. I Math. , vol.311 , pp. 265-268
    • Looss, G.1    Kirchgässner, K.2
  • 14
    • 0039331554 scopus 로고    scopus 로고
    • Capillary gravity waves on the free surface of an inviscid fluid of infinite depth-existence of solitary waves
    • looss, G. & Kirmann, P. 1996 Capillary gravity waves on the free surface of an inviscid fluid of infinite depth-existence of solitary waves. Arch. Ration. Mech. Analysis 136, 1-19.
    • (1996) Arch. Ration. Mech. Analysis , vol.136 , pp. 1-19
    • Looss, G.1    Kirmann, P.2
  • 15
    • 50549157324 scopus 로고
    • On the theory of steady state waves of large amplitude
    • Krasovskii, Yu. P. 1961 On the theory of steady state waves of large amplitude. USSR Comput. Math. Math. Phys. 1, 836-855.
    • (1961) USSR Comput. Math. Math. Phys. , vol.1 , pp. 836-855
    • Krasovskii Yu, P.1
  • 16
    • 0001647402 scopus 로고
    • Détermination rigoureuse des ondes permanentes d'ampleur finie
    • Levi-Civita, T. 1925 Détermination rigoureuse des ondes permanentes d'ampleur finie. Math. Annln 93, 264-314.
    • (1925) Math. Annln , vol.93 , pp. 264-314
    • Levi-Civita, T.1
  • 17
    • 0001638695 scopus 로고
    • On the mass, momentum, energy and circulation of a solitary wave
    • Longuet-Higgins, M. S. 1974 On the mass, momentum, energy and circulation of a solitary wave. Proc. R. Soc. Land. A 337, 1-13.
    • (1974) Proc. R. Soc. Land. a , vol.337 , pp. 1-13
    • Longuet-Higgins, M.S.1
  • 18
    • 0024628191 scopus 로고
    • Capillary-gravity waves of solitary type on deep water
    • Longuet-Higgins, M. S. 1989 Capillary-gravity waves of solitary type on deep water. J. Fluid Mech. 200, 451-470.
    • (1989) J. Fluid Mech. , vol.200 , pp. 451-470
    • Longuet-Higgins, M.S.1
  • 19
    • 0020734944 scopus 로고
    • Overhanging interfacial gravity waves of large amplitude
    • Meiron, D. I. & Saffman, P. G. 1983 Overhanging interfacial gravity waves of large amplitude. J. Fluid Mech. 129, 213-218.
    • (1983) J. Fluid Mech. , vol.129 , pp. 213-218
    • Meiron, D.I.1    Saffman, P.G.2
  • 20
    • 34548460933 scopus 로고
    • The exact theory of steady state waves on the surface of a heavy liquid
    • University of Wisconsin, Madison.
    • Nekrasov, A. I. 1967 The exact theory of steady state waves on the surface of a heavy liquid. MRC technical summary report no. 813, University of Wisconsin, Madison.
    • (1967) MRC Technical Summary Report No. 813
    • Nekrasov, A.I.1
  • 21
    • 0016459710 scopus 로고
    • Algebraic solitary waves in stratified fluids
    • Ono, H. 1975 Algebraic solitary waves in stratified fluids. J. Phys. Soc. Japan 39, 1082-1091.
    • (1975) J. Phys. Soc. Japan , vol.39 , pp. 1082-1091
    • Ono, H.1
  • 22
    • 0009957871 scopus 로고
    • Momentum and energy integrals for gravity waves of infinite height
    • Starr, V. P. 1947 Momentum and energy integrals for gravity waves of infinite height. J. Marine Res. 6, 175-193.
    • (1947) J. Marine Res. , vol.6 , pp. 175-193
    • Starr, V.P.1
  • 23
    • 0030594777 scopus 로고    scopus 로고
    • Asymptotic behavior and symmetry of internal waves in two-layer fluids of great depth
    • Sun, S. M. 1996 Asymptotic behavior and symmetry of internal waves in two-layer fluids of great depth. J. Diffl Equal. 129, 135-156.
    • (1996) J. Diffl Equal. , vol.129 , pp. 135-156
    • Sun, S.M.1
  • 25
    • 0000524209 scopus 로고
    • The limiting configuration of interfacial gravity waves
    • Turner, R. E. L. & Vanden-Broeck, J.-M. 1986 The limiting configuration of interfacial gravity waves. Phys. Fluids 29, 372-375.
    • (1986) Phys. Fluids , vol.29 , pp. 372-375
    • Turner, R.E.L.1    Vanden-Broeck, J.-M.2
  • 26
    • 0027009702 scopus 로고
    • Gravity-capillary solitary waves in water of infinite depth and related free surface flows
    • Vanden-Broeck, J. M. & Dias, F. 1992 Gravity-capillary solitary waves in water of infinite depth and related free surface flows. J. Fluid Mech. 240, 549-557.
    • (1992) J. Fluid Mech. , vol.240 , pp. 549-557
    • Vanden-Broeck, J.M.1    Dias, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.