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Volumn 33, Issue 3, 2001, Pages 283-307

On uniqueness and trapped modes in the water-wave problem for vertical barriers

Author keywords

Trapped modes; Uniqueness; Vertical barrier; Water wave problem

Indexed keywords


EID: 0000656376     PISSN: 01652125     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-2125(00)00069-X     Document Type: Article
Times cited : (26)

References (28)
  • 1
    • 0030146399 scopus 로고    scopus 로고
    • An example of non-uniqueness in the two-dimensional linear water-wave problem
    • McIver M. An example of non-uniqueness in the two-dimensional linear water-wave problem. J. Fluid Mech. 315:1996;257-266.
    • (1996) J. Fluid Mech. , vol.315 , pp. 257-266
    • McIver, M.1
  • 2
    • 0041043501 scopus 로고    scopus 로고
    • Uniqueness and trapped modes in the two-dimensional water-wave problem
    • submitted for publication
    • N. Kuznetsov, R. Porter, Uniqueness and trapped modes in the two-dimensional water-wave problem, Eur. J. Appl. Maths, 1999, submitted for publication.
    • (1999) Eur. J. Appl. Maths
    • Kuznetsov, N.1    Porter, R.2
  • 4
    • 0003901580 scopus 로고
    • Scattering of surface waves in an ideal fluid
    • Stanford University, Stanford
    • H. Levine, E. Rodemich, Scattering of surface waves in an ideal fluid, Math. Statist. Lab. Tech. Report no. 78, Stanford University, Stanford, 1958.
    • (1958) Math. Statist. Lab. Tech. Report , vol.78
    • Levine, H.1    Rodemich, E.2
  • 5
    • 0001863020 scopus 로고
    • Complementary approximations to the solution of a problem in water waves
    • Evans D.V., Morris C.A.N. Complementary approximations to the solution of a problem in water waves. J. Instit. Maths Appl. 10:1972;1-9.
    • (1972) J. Instit. Maths Appl. , vol.10 , pp. 1-9
    • Evans, D.V.1    Morris, C.A.N.2
  • 6
    • 0012228016 scopus 로고
    • The scattering of surface waves by two vertical plane barriers
    • Jarvis R.J. The scattering of surface waves by two vertical plane barriers. J. Instit. Maths Appl. 7:1971;207-215.
    • (1971) J. Instit. Maths Appl. , vol.7 , pp. 207-215
    • Jarvis, R.J.1
  • 7
    • 0010328516 scopus 로고    scopus 로고
    • A example of non-uniqueness in the two-dimensional linear water-wave problem involving a submerged body
    • Evans D.V., Porter R. A example of non-uniqueness in the two-dimensional linear water-wave problem involving a submerged body. Proc. R. Soc. London, Ser. A. 454:1998;3145-3165.
    • (1998) Proc. R. Soc. London, Ser. a , vol.454 , pp. 3145-3165
    • Evans, D.V.1    Porter, R.2
  • 8
    • 0028121568 scopus 로고
    • Scattering of water waves by submerged curved plates and by surface-piercing flat plates
    • Parsons N.F., Martin P.M. Scattering of water waves by submerged curved plates and by surface-piercing flat plates. Appl. Ocean Res. 16:1994;129-139.
    • (1994) Appl. Ocean Res. , vol.16 , pp. 129-139
    • Parsons, N.F.1    Martin, P.M.2
  • 9
    • 0000970797 scopus 로고    scopus 로고
    • Non-uniqueness in two-dimensional water-wave problems: Numerical evidence and geometrical restrictions
    • Linton C.M., Kuznetsov N.G. Non-uniqueness in two-dimensional water-wave problems: numerical evidence and geometrical restrictions. Proc. R. Soc. London, Ser. A. 453:1997;2437-2460.
    • (1997) Proc. R. Soc. London, Ser. a , vol.453 , pp. 2437-2460
    • Linton, C.M.1    Kuznetsov, N.G.2
  • 10
    • 0029329006 scopus 로고
    • Complementary approximations to wave scattering by vertical barriers
    • Porter R., Evans D.V. Complementary approximations to wave scattering by vertical barriers. J. Fluid Mech. 294:1995;155-180.
    • (1995) J. Fluid Mech. , vol.294 , pp. 155-180
    • Porter, R.1    Evans, D.V.2
  • 12
    • 0000821811 scopus 로고
    • Asymptotic expansions at a corner of solutions of mixed boundary value problems
    • Wigley N.G. Asymptotic expansions at a corner of solutions of mixed boundary value problems. J. Math. Mech. 11:1964;549-576.
    • (1964) J. Math. Mech. , vol.11 , pp. 549-576
    • Wigley, N.G.1
  • 13
    • 0021521046 scopus 로고
    • Uniqueness in linearised two-dimensional water-wave problems
    • Simon M.J., Ursell F. Uniqueness in linearised two-dimensional water-wave problems. J. Fluid Mech. 148:1984;137-154.
    • (1984) J. Fluid Mech. , vol.148 , pp. 137-154
    • Simon, M.J.1    Ursell, F.2
  • 14
    • 84980084499 scopus 로고
    • On the motion of floating bodies, II
    • John F. On the motion of floating bodies, II. Commun. Pure Appl. Maths. 3:1950;45-101.
    • (1950) Commun. Pure Appl. Maths , vol.3 , pp. 45-101
    • John, F.1
  • 15
    • 0040449558 scopus 로고
    • On uniqueness in the two-dimensional water-wave problem for surface-piercing bodies in fluid of finite depth
    • Department of Mathematics, University of Manchester, Manchester
    • N.G. Kuznetsov, M.J. Simon, On uniqueness in the two-dimensional water-wave problem for surface-piercing bodies in fluid of finite depth, Appl. Math. Report no. 95/4, Department of Mathematics, University of Manchester, Manchester, 1995.
    • (1995) Appl. Math. Report , vol.95 , Issue.4
    • Kuznetsov, N.G.1    Simon, M.J.2
  • 16
    • 0027009790 scopus 로고
    • Scattering of water waves by submerged plates using hypersingular integral equations
    • Parsons N.F., Martin P.A. Scattering of water waves by submerged plates using hypersingular integral equations. Appl. Ocean Res. 14:1992;313-321.
    • (1992) Appl. Ocean Res. , vol.14 , pp. 313-321
    • Parsons, N.F.1    Martin, P.A.2
  • 17
    • 0029239956 scopus 로고
    • Trapping of water waves by submerged plates using hypersingular integral equations
    • Parsons N.F., Martin P.A. Trapping of water waves by submerged plates using hypersingular integral equations. J. Fluid Mech. 284:1995;359-375.
    • (1995) J. Fluid Mech. , vol.284 , pp. 359-375
    • Parsons, N.F.1    Martin, P.A.2
  • 18
    • 84958428142 scopus 로고
    • Surface waves generated by an oscillating circular cylinder on water of finite depth: Theory and experiment
    • Yu Y.S., Ursell F. Surface waves generated by an oscillating circular cylinder on water of finite depth: theory and experiment. J. Fluid Mech. 11:1961;529-551.
    • (1961) J. Fluid Mech. , vol.11 , pp. 529-551
    • Yu, Y.S.1    Ursell, F.2
  • 19
    • 0000013750 scopus 로고
    • End-point behaviour of solutions to hypersingular integral equations
    • Martin P.A. End-point behaviour of solutions to hypersingular integral equations. Proc. R. Soc. London, Ser. A. 432:1991;301-320.
    • (1991) Proc. R. Soc. London, Ser. a , vol.432 , pp. 301-320
    • Martin, P.A.1
  • 20
    • 0016114892 scopus 로고
    • Interaction of water waves with two closely spaced vertical barriers
    • Newman J.N. Interaction of water waves with two closely spaced vertical barriers. J. Fluid Mech. 66:1974;97-106.
    • (1974) J. Fluid Mech. , vol.66 , pp. 97-106
    • Newman, J.N.1
  • 21
    • 0021883749 scopus 로고
    • Scattering of surface waves by two surface-piercing vertical barriers
    • McIver P. Scattering of surface waves by two surface-piercing vertical barriers. IMA J. Appl. Math. 35:1985;1-17.
    • (1985) IMA J. Appl. Math. , vol.35 , pp. 1-17
    • McIver, P.1
  • 22
    • 0040449557 scopus 로고
    • Plane problem of the steady-state oscillations of a fluid in the presence of two semi-immersed cylinders
    • Kuznetsov N.G. Plane problem of the steady-state oscillations of a fluid in the presence of two semi-immersed cylinders. Math. Notes Acad. Sci. USSR. 44:1988;685-690.
    • (1988) Math. Notes Acad. Sci. USSR , vol.44 , pp. 685-690
    • Kuznetsov, N.G.1
  • 23
    • 0029404451 scopus 로고
    • On uniqueness in linearized two-dimensional water-wave problem for two surface-piercing bodies
    • Kuznetsov N.G., Simon M.J. On uniqueness in linearized two-dimensional water-wave problem for two surface-piercing bodies. Q. J. Mech. Appl. Math. 48:1995;507-515.
    • (1995) Q. J. Mech. Appl. Math. , vol.48 , pp. 507-515
    • Kuznetsov, N.G.1    Simon, M.J.2
  • 24
    • 0032092424 scopus 로고    scopus 로고
    • Uniqueness and trapped modes for surface-piercing cylinders in oblique waves
    • Kuznetsov N., Porter R., Evans D.V., Simon M.J. Uniqueness and trapped modes for surface-piercing cylinders in oblique waves. J. Fluid Mech. 365:1998;351-368.
    • (1998) J. Fluid Mech. , vol.365 , pp. 351-368
    • Kuznetsov, N.1    Porter, R.2    Evans, D.V.3    Simon, M.J.4
  • 25
    • 0026156153 scopus 로고
    • Trapping of surface water waves by fixed bodies in channels
    • McIver P. Trapping of surface water waves by fixed bodies in channels. Q. J. Mech. Appl. Math. 44:1991;193-208.
    • (1991) Q. J. Mech. Appl. Math. , vol.44 , pp. 193-208
    • McIver, P.1
  • 26
    • 0026798769 scopus 로고
    • On a bound for the frequency of surface waves trapped near a cylinder spanning a channel
    • Simon M.J. On a bound for the frequency of surface waves trapped near a cylinder spanning a channel. Theoret. Comput. Fluid Dyn. 4:1992;71-78.
    • (1992) Theoret. Comput. Fluid Dyn. , vol.4 , pp. 71-78
    • Simon, M.J.1
  • 27
    • 0038274899 scopus 로고
    • Solvability of the problem on the oscillations of a fluid containing a submerged body
    • Maz'ya V.G. Solvability of the problem on the oscillations of a fluid containing a submerged body. J. Sov. Maths. 10:1978;86-89.
    • (1978) J. Sov. Maths , vol.10 , pp. 86-89
    • Maz'Ya, V.G.1
  • 28
    • 0008517406 scopus 로고
    • Uniqueness of a solution of a linear problem for stationary oscillations of a liquid
    • Kuznetsov N.G. Uniqueness of a solution of a linear problem for stationary oscillations of a liquid. Diff. Equat. 27:1991;187-194.
    • (1991) Diff. Equat. , vol.27 , pp. 187-194
    • Kuznetsov, N.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.