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Volumn 21, Issue 4, 2004, Pages 503-516

Existence by minimisation of solitary water waves on an ocean of infinite depth

Author keywords

Capillary gravity water waves; Solitary waves; Variational methods

Indexed keywords

BATHYMETRY; BIFURCATION (MATHEMATICS); CAPILLARITY; GRAVITY WAVES; NUMERICAL ANALYSIS; OCEANOGRAPHY; OPTIMIZATION; PROBLEM SOLVING; SURFACE TENSION; THEOREM PROVING;

EID: 2942612628     PISSN: 02941449     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.anihpc.2003.06.003     Document Type: Article
Times cited : (11)

References (13)
  • 1
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    • Some remarks on the theory of surface waves of finite amplitude
    • Babenko K.I. Some remarks on the theory of surface waves of finite amplitude. Soviet Math. Dokl. 35:1987;599-603.
    • (1987) Soviet Math. Dokl. , vol.35 , pp. 599-603
    • Babenko, K.I.1
  • 2
    • 0038717508 scopus 로고
    • On a local existence theorem in the theory of surface waves of finite amplitude
    • Babenko K.I. On a local existence theorem in the theory of surface waves of finite amplitude. Soviet Math. Dokl. 35:1987;647-650.
    • (1987) Soviet Math. Dokl. , vol.35 , pp. 647-650
    • Babenko, K.I.1
  • 4
    • 0034405836 scopus 로고    scopus 로고
    • The regularity and local bifurcation of steady periodic water waves
    • Buffoni B., Dancer E.N., Toland J.F. The regularity and local bifurcation of steady periodic water waves. Arch. Rational Mech. Anal. 152:2000;207-240.
    • (2000) Arch. Rational Mech. Anal. , vol.152 , pp. 207-240
    • Buffoni, B.1    Dancer, E.N.2    Toland, J.F.3
  • 7
    • 51249168956 scopus 로고
    • Surface waves of finite depth
    • Garabedian P.R. Surface waves of finite depth. J. Anal. Math. 14:1965;161-169.
    • (1965) J. Anal. Math. , vol.14 , pp. 161-169
    • Garabedian, P.R.1
  • 8
    • 0039331554 scopus 로고    scopus 로고
    • Capillary gravity waves on the free surface of an inviscid fluid of infinite depth, Existence of solitary waves
    • Iooss G., Kirrmann P. Capillary gravity waves on the free surface of an inviscid fluid of infinite depth, Existence of solitary waves. Arch. Rational Mech. Anal. 136:1998;1-19.
    • (1998) Arch. Rational Mech. Anal. , vol.136 , pp. 1-19
    • Iooss, G.1    Kirrmann, P.2
  • 9
    • 0010804822 scopus 로고
    • Hilbert transform of a function having a bounded integral and a bounded derivative
    • Logan B.F. Hilbert transform of a function having a bounded integral and a bounded derivative. SIAM J. Math. Anal. 14:1983;247-248.
    • (1983) SIAM J. Math. Anal. , vol.14 , pp. 247-248
    • Logan, B.F.1
  • 11
    • 0041824045 scopus 로고    scopus 로고
    • Bifurcation from the essential spectrum
    • Boston: Birkhäuser, Topological Nonlinear Analysis II (Frascati, 1995)
    • Stuart C.A. Bifurcation from the essential spectrum. Topological Nonlinear Analysis II (Frascati, 1995). Progr. Nonlinear Differential Equations Appl. vol. 27:1997;397-443 Birkhäuser, Boston.
    • (1997) Progr. Nonlinear Differential Equations Appl. , vol.27 , pp. 397-443
    • Stuart, C.A.1
  • 12
    • 0038040991 scopus 로고
    • A variational approach to surface solitary waves
    • Turner R.E.L. A variational approach to surface solitary waves. J. Differential Equations. 55:1984;401-438.
    • (1984) J. Differential Equations , vol.55 , pp. 401-438
    • Turner, R.E.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.