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Volumn 98, Issue 4, 1997, Pages 311-333

The Stokes and Krasovskii conjectures for the wave of greatest height

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYERS;

EID: 0040250355     PISSN: 00222526     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9590.00051     Document Type: Article
Times cited : (59)

References (15)
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    • A. I. NEKRASOV, The exact theory of steady state waves on the surface of a heavy liquid, Technical Summary Report No. 813, Mathematics Research Center, University of Wisconsin, 1967 [D. V. Thampuran, translator; C. W. Cryer, editor].
    • (1967) Technical Summary Report No. 813
    • Nekrasov, A.I.1
  • 3
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    • On the existence theory for irrotational water waves
    • G. KEADY and J. NORBURY, On the existence theory for irrotational water waves, Proc. Camb. Phil. Soc. 83:137-157 (1978).
    • (1978) Proc. Camb. Phil. Soc. , vol.83 , pp. 137-157
    • Keady, G.1    Norbury, J.2
  • 4
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    • On the theory of steady-state waves of finite amplitude
    • YU. P. KRASOVSKII, On the theory of steady-state waves of finite amplitude, U.S.S.R. Comp. Math. Math. Phys. 1:996-1018 (1962).
    • (1962) U.S.S.R. Comp. Math. Math. Phys. , vol.1 , pp. 996-1018
    • Krasovskii, Y.U.P.1
  • 5
    • 0018030940 scopus 로고
    • On the existence of a wave of greatest height and Stokes' conjecture
    • J. F. TOLAND, On the existence of a wave of greatest height and Stokes' conjecture, Proc. R. Soc. London A 363:469-485 (1978).
    • (1978) Proc. R. Soc. London A , vol.363 , pp. 469-485
    • Toland, J.F.1
  • 6
    • 0001647402 scopus 로고
    • Détermination rigoureuse des ondes permanentes d'ampleur finie
    • T. LEVI-CIVITA, Détermination rigoureuse des ondes permanentes d'ampleur finie, Math. Ann. 93:264-314 (1925).
    • (1925) Math. Ann. , vol.93 , pp. 264-314
    • Levi-Civita, T.1
  • 8
    • 0000166670 scopus 로고
    • On the Stokes' conjecture for the wave of extreme form
    • C. J. AMICK, L. E. FRAENKEL, and J. F. TOLAND, On the Stokes' conjecture for the wave of extreme form, Acta Math. 148:193-214 (1982).
    • (1982) Acta Math. , vol.148 , pp. 193-214
    • Amick, C.J.1    Fraenkel, L.E.2    Toland, J.F.3
  • 9
    • 0027641609 scopus 로고
    • The computation of water waves modelled by Nekrasov's equation
    • G. A. CHANDLER and I. G. GRAHAM, The computation of water waves modelled by Nekrasov's equation, SIAM J. Numer. Anal 30:1041-1065 (1993).
    • (1993) SIAM J. Numer. Anal , vol.30 , pp. 1041-1065
    • Chandler, G.A.1    Graham, I.G.2
  • 10
    • 0000090704 scopus 로고
    • On the behavior near the crest of waves of extreme form
    • C. J. AMICK and L. E. FRAENKEL, On the behavior near the crest of waves of extreme form, Trans. Amer. Math. Soc. 299:273-298 (1987).
    • (1987) Trans. Amer. Math. Soc. , vol.299 , pp. 273-298
    • Amick, C.J.1    Fraenkel, L.E.2
  • 11
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    • The asymptotic behavior near the crest of waves of extreme form
    • J. B. MCLEOD, The asymptotic behavior near the crest of waves of extreme form, Trans. Amer. Math. Soc. 299:299-302 (1987).
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  • 12
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    • On periodic water-waves and their convergence to solitary waves in the long-wave limit
    • C. J. AMICK and J. F. TOLAND, On periodic water-waves and their convergence to solitary waves in the long-wave limit, Phil. Trans. R. Soc. London A 303:633-669 (1981).
    • (1981) Phil. Trans. R. Soc. London A , vol.303 , pp. 633-669
    • Amick, C.J.1    Toland, J.F.2
  • 13
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    • Theory of the almost-highest wave: The inner solution
    • M. S. LONGUET-HIGGINS and M. J. H. FOX, Theory of the almost-highest wave: The inner solution, J. Fluid Mech. 80:721-741 (1977).
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    • Longuet-Higgins, M.S.1    Fox, M.J.H.2
  • 14
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    • Bounds for water waves
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.