메뉴 건너뛰기




Volumn 150, Issue 3-4, 2001, Pages 278-300

Interfacial waves with free-surface boundary conditions: An approach via a model equation

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; ELASTIC WAVES; INTERFACES (MATERIALS); MATHEMATICAL MODELS; OSCILLATIONS; PERTURBATION TECHNIQUES; PROBLEM SOLVING; RESONANCE;

EID: 0035312013     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(01)00149-X     Document Type: Article
Times cited : (20)

References (24)
  • 1
    • 0000648116 scopus 로고
    • Existence of a generalized solitary wave solution for water with positive Bond number less than 1/3
    • Sun S.M. Existence of a generalized solitary wave solution for water with positive Bond number less than 1/3. J. Math. Anal. Appl. 156:1991;471-504.
    • (1991) J. Math. Anal. Appl. , vol.156 , pp. 471-504
    • Sun, S.M.1
  • 2
    • 84990623719 scopus 로고
    • Exact solitary water waves with capillary ripples at infinity
    • Beale J.T. Exact solitary water waves with capillary ripples at infinity. Comm. Pure Appl. Math. 44:1991;211-257.
    • (1991) Comm. Pure Appl. Math. , vol.44 , pp. 211-257
    • Beale, J.T.1
  • 3
    • 0001933877 scopus 로고
    • Water waves for small surface tension: An approach via normal form
    • Iooss G., Kirchgässner K. Water waves for small surface tension: an approach via normal form. Proc. Roy. Soc. Edinburgh A. 122:1992;267-299.
    • (1992) Proc. Roy. Soc. Edinburgh a , vol.122 , pp. 267-299
    • Iooss, G.1    Kirchgässner, K.2
  • 4
    • 0000606083 scopus 로고
    • Exponentially small estimate for the amplitude of capillary ripples of a generalized solitary wave
    • 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.
    • (1993) J. Math. Anal. Appl. , vol.172 , pp. 533-566
    • Sun, S.M.1    Shen, M.C.2
  • 5
    • 0000762941 scopus 로고
    • Elevation solitary waves with surface tension
    • Vanden-Broeck J.-M. Elevation solitary waves with surface tension. Phys. Fluids A. 3:1991;2659-2663.
    • (1991) Phys. Fluids a , vol.3 , pp. 2659-2663
    • Vanden-Broeck, J.-M.1
  • 6
    • 0029673044 scopus 로고    scopus 로고
    • Weakly nonlocal gravity-capillary solitary waves
    • Yang T.S., Akylas T.R. Weakly nonlocal gravity-capillary solitary waves. Phys. Fluids. 8:1996;1506-1514.
    • (1996) Phys. Fluids , vol.8 , pp. 1506-1514
    • Yang, T.S.1    Akylas, T.R.2
  • 7
    • 43949163638 scopus 로고
    • The generation of radiating waves in a singularly-perturbed Korteweg-de Vries equation
    • Benilov E.S., Grimshaw R., Kuznetsova E.P. The generation of radiating waves in a singularly-perturbed Korteweg-de Vries equation. Physica D. 69:1993;270-278.
    • (1993) Physica D , vol.69 , pp. 270-278
    • Benilov, E.S.1    Grimshaw, R.2    Kuznetsova, E.P.3
  • 8
    • 0027009798 scopus 로고
    • Solitary internal waves with oscillatory tails
    • Akylas T.R., Grimshaw R.H.J. Solitary internal waves with oscillatory tails. J. Fluid Mech. 242:1992;279-298.
    • (1992) J. Fluid Mech. , vol.242 , pp. 279-298
    • Akylas, T.R.1    Grimshaw, R.H.J.2
  • 10
    • 84980083934 scopus 로고
    • Solitary waves in liquids having non-constant density
    • Peters A.S., Stoker J.J. Solitary waves in liquids having non-constant density. Comm. Pure Appl. Math. 13:1960;115-164.
    • (1960) Comm. Pure Appl. Math. , vol.13 , pp. 115-164
    • Peters, A.S.1    Stoker, J.J.2
  • 11
    • 0017998674 scopus 로고
    • Solitary waves on a two-layer fluid
    • Kakutani T., Yamasaki N. Solitary waves on a two-layer fluid. J. Phys. Soc. Jpn. 45:1978;674-679.
    • (1978) J. Phys. Soc. Jpn. , vol.45 , pp. 674-679
    • Kakutani, T.1    Yamasaki, N.2
  • 12
    • 0007498902 scopus 로고
    • Exact theory of generalized solitary waves in a two-layer liquid in the absence of surface tension
    • Sun S.M., Shen M.C. Exact theory of generalized solitary waves in a two-layer liquid in the absence of surface tension. J. Math. Anal. Appl. 180:1993;245-274.
    • (1993) J. Math. Anal. Appl. , vol.180 , pp. 245-274
    • Sun, S.M.1    Shen, M.C.2
  • 14
    • 0001338988 scopus 로고    scopus 로고
    • Numerical study of generalized interfacial solitary waves
    • Michallet H., Dias F. Numerical study of generalized interfacial solitary waves. Phys. Fluids. 11:1999;1502-1511.
    • (1999) Phys. Fluids , vol.11 , pp. 1502-1511
    • Michallet, H.1    Dias, F.2
  • 15
    • 85031534826 scopus 로고    scopus 로고
    • Interfacial periodic waves of permanent form with free-surface boundary conditions
    • to appear
    • E. Parau, F. Dias, Interfacial periodic waves of permanent form with free-surface boundary conditions, J. Fluid Mech., to appear.
    • J. Fluid Mech.
    • Parau, E.1    Dias, F.2
  • 16
    • 31144457075 scopus 로고
    • Interfacial solitary waves in a two-fluid medium
    • Walker L.R. Interfacial solitary waves in a two-fluid medium. Phys. Fluids. 16:1973;1796-1804.
    • (1973) Phys. Fluids , vol.16 , pp. 1796-1804
    • Walker, L.R.1
  • 17
    • 0032115966 scopus 로고    scopus 로고
    • Experimental study of interfacial solitary waves
    • Michallet H., Barthélemy E. Experimental study of interfacial solitary waves. J. Fluid Mech. 366:1998;159-177.
    • (1998) J. Fluid Mech. , vol.366 , pp. 159-177
    • Michallet, H.1    Barthélemy, E.2
  • 18
    • 21844524190 scopus 로고
    • On short-scale oscillatory tails of long-wave disturbances
    • Akylas T.R., Yang T.-S. On short-scale oscillatory tails of long-wave disturbances. Stud. Appl. Math. 94:1995;1-20.
    • (1995) Stud. Appl. Math. , vol.94 , pp. 1-20
    • Akylas, T.R.1    Yang, T.-S.2
  • 20
    • 0003147442 scopus 로고
    • The existence of internal solitary waves in a two fluid system near the KdV limit
    • Bona J.L., Sachs R.L. The existence of internal solitary waves in a two fluid system near the KdV limit. Geophys. Astrophys. Fluid Dyn. 48:1989;25-51.
    • (1989) Geophys. Astrophys. Fluid Dyn. , vol.48 , pp. 25-51
    • Bona, J.L.1    Sachs, R.L.2
  • 21
    • 0002232810 scopus 로고
    • A simple global characterization for normal form of singular vector fields
    • Elphick C., Tirapegui E., Brachet M., Coullet P., Iooss G. A simple global characterization for normal form of singular vector fields. Physica D. 29:1987;95-127.
    • (1987) Physica D , vol.29 , pp. 95-127
    • Elphick, C.1    Tirapegui, E.2    Brachet, M.3    Coullet, P.4    Iooss, G.5
  • 23
    • 0034282249 scopus 로고    scopus 로고
    • Conjugate flows for a three-layer fluid
    • Lamb K.G. Conjugate flows for a three-layer fluid. Phys. Fluids. 12:2000;2169-2185.
    • (2000) Phys. Fluids , vol.12 , pp. 2169-2185
    • Lamb, K.G.1
  • 24
    • 0008768333 scopus 로고
    • A note on exact relations for solitary waves
    • Pennell S. A note on exact relations for solitary waves. Phys. Fluids A. 2:1990;281-284.
    • (1990) Phys. Fluids a , vol.2 , pp. 281-284
    • Pennell, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.