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Volumn 454, Issue 1980, 1998, Pages 3145-3165

An example of non-uniqueness in the two-dimensional linear water-wave problem involving a submerged body

Author keywords

Mclver streamfunction; Non uniqueness; Streamlines; Submerged cylinder; Two dimensional problem; Water waves

Indexed keywords


EID: 0010328516     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.1998.0295     Document Type: Article
Times cited : (12)

References (15)
  • 1
    • 0001863020 scopus 로고
    • Complementary approximations to the solution of a problem in water waves
    • Evans, D. V. & Morris, C. A. N. 1972 Complementary approximations to the solution of a problem in water waves. J. Inst. Math. Applic. 10, 1-9.
    • (1972) J. Inst. Math. Applic. , vol.10 , pp. 1-9
    • Evans, D.V.1    Morris, C.A.N.2
  • 3
    • 84980084499 scopus 로고
    • On the motion of floating bodies
    • John, F. 1950 On the motion of floating bodies. II. Commun. Pure Appl. Math. 3, 45-101.
    • (1950) II. Commun. Pure Appl. Math. , vol.3 , pp. 45-101
    • John, F.1
  • 5
    • 0032092424 scopus 로고    scopus 로고
    • Uniqueness and trapped modes for surface-piercing cylinders in oblique waves
    • Kuznetsov, N. G., Porter, R., Evans, D. V. & Simon, M. J. 1997 Uniqueness and trapped modes for surface-piercing cylinders in oblique waves. J. Fluid Mech. 365, 351-368.
    • (1997) J. Fluid Mech. , vol.365 , pp. 351-368
    • Kuznetsov, N.G.1    Porter, R.2    Evans, D.V.3    Simon, M.J.4
  • 6
    • 0000970797 scopus 로고    scopus 로고
    • Non-uniqueness in two-dimensional water wave problems: Numerical evidence and geometrical restrictions
    • Linton, C. M. & Kuznetsov, N. G. 1997 Non-uniqueness in two-dimensional water wave problems: numerical evidence and geometrical restrictions. Proc. R. Soc. Land. A 453, 2437-2460.
    • (1997) Proc. R. Soc. Land. a , vol.453 , pp. 2437-2460
    • Linton, C.M.1    Kuznetsov, N.G.2
  • 7
    • 0030146399 scopus 로고    scopus 로고
    • An example of non-uniqueness in the two-dimensional linear water wave problem
    • Mclver, M. 1996 An example of non-uniqueness in the two-dimensional linear water wave problem. J. Fluid Mech. 315, 257-266.
    • (1996) J. Fluid Mech. , vol.315 , pp. 257-266
    • Mclver, M.1
  • 8
    • 0031139877 scopus 로고    scopus 로고
    • Trapped modes in an axisymmetric water-wave problem
    • Mclver, P. & Mclver, M. 1997 Trapped modes in an axisymmetric water-wave problem. Q. J. Mech. Appl. Math. 50, 165-178.
    • (1997) Q. J. Mech. Appl. Math. , vol.50 , pp. 165-178
    • Mclver, P.1    Mclver, M.2
  • 9
    • 33746820590 scopus 로고    scopus 로고
    • Construction of trapped modes for wave guides and diffraction gratings
    • Mclver, P., Linton, C. M. & Mclver, M. 1998 Construction of trapped modes for wave guides and diffraction gratings. Proc. R. Soc. Land. A 454, 2593-2616.
    • (1998) Proc. R. Soc. Land. a , vol.454 , pp. 2593-2616
    • Mclver, P.1    Linton, C.M.2    Mclver, M.3
  • 10
    • 0027009790 scopus 로고
    • Scattering of water-waves by submerged plates using hypersingular integral equations
    • Parsons, N. F. & Martin, P. A. 1992 Scattering of water-waves by submerged plates using hypersingular integral equations. Appl. Ocean Res. 14, 313-321.
    • (1992) Appl. Ocean Res. , vol.14 , pp. 313-321
    • Parsons, N.F.1    Martin, P.A.2
  • 11
    • 0028121568 scopus 로고
    • Scattering of water-waves by submerged curved plates and by surface-piercing flat plates
    • Parsons, N. F. & Martin, P. A. 1994 Scattering of water-waves by submerged curved plates and by surface-piercing flat plates. Appl. Ocean Res. 16, 129-139.
    • (1994) Appl. Ocean Res. , vol.16 , pp. 129-139
    • Parsons, N.F.1    Martin, P.A.2
  • 12
    • 0021521046 scopus 로고
    • Uniqueness in linearised two-dimensional water-wave problems
    • Simon, M. J. & Ursell, F. 1984 Uniqueness in linearised two-dimensional water-wave problems. J. Fluid Mech. 148, 137-154.
    • (1984) J. Fluid Mech. , vol.148 , pp. 137-154
    • Simon, M.J.1    Ursell, F.2
  • 13
    • 84946305464 scopus 로고
    • Multipole expansions in the theory of surface waves
    • Thorne, R. C. 1953 Multipole expansions in the theory of surface waves. Proc. Camb. Phil. Soc. 49, 707-716.
    • (1953) Proc. Camb. Phil. Soc. , vol.49 , pp. 707-716
    • Thorne, R.C.1
  • 14
    • 84958737013 scopus 로고
    • Surface waves on deep water in the presence of a submerged circular cylinder
    • Ursell, F. 1950 Surface waves on deep water in the presence of a submerged circular cylinder. I. Proc. Camb. Phil. Soc. 46, 141-152.
    • (1950) I. Proc. Camb. Phil. Soc. , vol.46 , pp. 141-152
    • Ursell, F.1
  • 15
    • 0001732548 scopus 로고
    • Trapping modes in the theory of surface waves
    • Ursell, F. 1951 Trapping modes in the theory of surface waves. Proc. Camb. Phil. Soc. 47, 347-358.
    • (1951) Proc. Camb. Phil. Soc. , vol.47 , pp. 347-358
    • Ursell, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.