메뉴 건너뛰기




Volumn 640, Issue , 2009, Pages 79-107

Water waves over a random bottom

Author keywords

[No Author keywords available]

Indexed keywords

FLUIDS; PERTURBATION TECHNIQUES; RANDOM PROCESSES; SOLITONS; SURFACE WAVES; TOPOGRAPHY; WHITE NOISE;

EID: 76349125095     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112009991248     Document Type: Article
Times cited : (40)

References (23)
  • 1
    • 0037168904 scopus 로고    scopus 로고
    • Bragg scattering of random surface gravity waves by irregular seabed topography
    • Ardhuin, F. & Herbers, T. H. C. 2002 Bragg scattering of random surface gravity waves by irregular seabed topography. J. Fluid Mech. 451, 1-33.
    • (2002) J. Fluid Mech. , vol.451 , pp. 1-33
    • Ardhuin, F.1    Herbers, T.H.C.2
  • 2
    • 50249141041 scopus 로고    scopus 로고
    • Central limits and homogenization in random media
    • Bal, G. 2008 Central limits and homogenization in random media. SIAM Multiscale MoDel. Simul. 7 (2), 677-702.
    • (2008) SIAM Multiscale MoDel. Simul. , vol.7 , Issue.2 , pp. 677-702
    • Bal, G.1
  • 3
    • 0000360069 scopus 로고    scopus 로고
    • Gravity waves on a rough bottom: Experimental eviDence of one-dimensional localization
    • Belzons, M., Guazzelli, E. & Parodi, O. 1998 Gravity waves on a rough bottom: experimental eviDence of one-dimensional localization. J. Fluid Mech. 186, 539-558.
    • (1998) J. Fluid Mech. , vol.186 , pp. 539-558
    • Belzons, M.1    Guazzelli, E.2    Parodi, O.3
  • 6
    • 30544433668 scopus 로고    scopus 로고
    • Hamiltonian long-wave expansions for free surfaces and interfaces
    • DOI 10.1002/cpa.20098
    • Craig, W., Guyenne, P. & Kalisch, H. 2005 Hamiltonian long-wave expansions for free surfaces and interfaces. Comm. Pure Appl. Math. 58, 1587-1641. (Pubitemid 43082564)
    • (2005) Communications on Pure and Applied Mathematics , vol.58 , Issue.12 , pp. 1587-1641
    • Craig, W.1    Guyenne, P.2    Kalisch, H.3
  • 7
    • 17144396016 scopus 로고    scopus 로고
    • Hamiltonian long-wave expansions for water waves over a rough bottom
    • Craig, W., Guyenne, P., Nicholls, D. P. & Sulem, C. 2005 Hamiltonian long-wave expansions for water waves over a rough bottom. Proc. R. Soc. Lond. A 461, 839-873.
    • (2005) Proc. R. Soc. Lond. A , vol.461 , pp. 839-873
    • Craig, W.1    Guyenne, P.2    Nicholls, D.P.3    Sulem, C.4
  • 8
    • 76349124986 scopus 로고    scopus 로고
    • Asymptotics of surface waves over random bathymetry Quart
    • in press
    • Craig, W. & Sulem, C. 2009 Asymptotics of surface waves over random bathymetry Quart. J. Appl. Math. (in press).
    • (2009) J. Appl. Math.
    • Craig, W.1    Sulem, C.2
  • 9
    • 0024189537 scopus 로고
    • Localization of gravity waves on a channel with random bottom
    • Devillard, P., Dunlop, F. & Souillard, B. 1988 Localization of gravity waves on a channel with random bottom. J. Fluid Mech. 186, 521-538.
    • (1988) J. Fluid Mech. , vol.186 , pp. 521-538
    • Devillard, P.1    Dunlop, F.2    Souillard, B.3
  • 10
    • 0001207482 scopus 로고
    • Polynomially Decaying transmission for the nonlinear Schrödinger equation in a random medium
    • Devillard, P. & Souillard, B. 1986 Polynomially Decaying transmission for the nonlinear Schrödinger equation in a random medium. J. Stat. Phys. 43, 423-439.
    • (1986) J. Stat. Phys. , vol.43 , pp. 423-439
    • Devillard, P.1    Souillard, B.2
  • 11
    • 9744219698 scopus 로고    scopus 로고
    • Time reversal for dispersive waves in random media
    • Fouque, J.-P., Garnier, J. & Nachbin, A. 2004 Time reversal for dispersive waves in random media. SIAM J. Appl. Math. 64 (5), 1810-1838.
    • (2004) SIAM J. Appl. Math. , vol.64 , Issue.5 , pp. 1810-1838
    • Fouque, J.-P.1    Garnier, J.2    Nachbin, A.3
  • 13
    • 42749109068 scopus 로고    scopus 로고
    • Long waves in shallow water over a random seabed
    • Grataloup, G. & Mei, C. C. 2003 Long waves in shallow water over a random seabed. Phys. Rev. E 68, 026314.
    • (2003) Phys. Rev. e , vol.68 , pp. 026314
    • Grataloup, G.1    Mei, C.C.2
  • 14
    • 38249001237 scopus 로고
    • Uni-directional waves over slowly varying bottom. Part I. Derivation of KdV type equation
    • Van Groesen, E. & Pudjaprasetya, S. R. 1993 Uni-directional waves over slowly varying bottom. Part I. Derivation of KdV type equation. Wa ve Mo t. 18, 345-370.
    • (1993) Wa Ve Mo T. , vol.18 , pp. 345-370
    • Van Groesen, E.1    Pudjaprasetya, S.R.2
  • 15
    • 0000889194 scopus 로고
    • On wave scattering by random inhomogeneities, with application to the theory of weak bores
    • Howe, M. S. 1971 On wave scattering by random inhomogeneities, with application to the theory of weak bores. J. Fluid. Mech. 45, 785-804.
    • (1971) J. Fluid. Mech. , vol.45 , pp. 785-804
    • Howe, M.S.1
  • 16
    • 0037464962 scopus 로고    scopus 로고
    • Weakly nonlinear surface waves over a random seabed
    • Mei, C. C. & Hancock, M. 2003 Weakly nonlinear surface waves over a random seabed. J. Fluid Mech. 475, 247-268.
    • (2003) J. Fluid Mech. , vol.475 , pp. 247-268
    • Mei, C.C.1    Hancock, M.2
  • 17
    • 37649029595 scopus 로고    scopus 로고
    • Evolution of solitons over a randomly rough seabed
    • Mei, C. C. & Li, Y. 2004 Evolution of solitons over a randomly rough seabed. Phys. Rev. E 70, 016302.
    • (2004) Phys. Rev. e , vol.70 , pp. 016302
    • Mei, C.C.1    Li, Y.2
  • 18
    • 0029413460 scopus 로고
    • The localization length of randomly scattered water waves
    • Nachbin, A. 1995 The localization length of randomly scattered water waves. J. Fluid Mech. 296, 353-372.
    • (1995) J. Fluid Mech. , vol.296 , pp. 353-372
    • Nachbin, A.1
  • 19
    • 0037281258 scopus 로고    scopus 로고
    • Apparent diffusion due to topographic microstructure in shallow waters
    • Nachbin, A. & Sølna, K. 2003 Apparent diffusion due to topographic microstructure in shallow waters. Phys. Fluids 15, 66-77.
    • (2003) Phys. Fluids , vol.15 , pp. 66-77
    • Nachbin, A.1    Sølna, K.2
  • 20
    • 31144433686 scopus 로고    scopus 로고
    • Solitary wave dynamics in shallow water over periodic topography
    • Nakoulima, O., Zahibo, N., Pelinovsky, E., Talipova, T. & Kurkin, A. 2005 Solitary wave dynamics in shallow water over periodic topography. Chaos 15, 037107.
    • (2005) Chaos , vol.15 , pp. 037107
    • Nakoulima, O.1    Zahibo, N.2    Pelinovsky, E.3    Talipova, T.4    Kurkin, A.5
  • 21
    • 41349096203 scopus 로고    scopus 로고
    • Surface gravity waves over a two-dimensional random seabed
    • Pihl, J. H., Mei, C. C. & Hancock, M. 2002 Surface gravity waves over a two-dimensional random seabed. Phys. Rev. E 66, 016611.
    • (2002) Phys. Rev. e , vol.66 , pp. 016611
    • Pihl, J.H.1    Mei, C.C.2    Hancock, M.3
  • 22
    • 0020735107 scopus 로고
    • Gravity waves in a channel with a rough bottom
    • Rosales, R. & Papanicolaou, G. 1983 Gravity waves in a channel with a rough bottom. Stud. Appl. Math. 68, 89-102.
    • (1983) Stud. Appl. Math. , vol.68 , pp. 89-102
    • Rosales, R.1    Papanicolaou, G.2
  • 23
    • 34250447917 scopus 로고
    • Stability of periodic waves of finite amplituDe on the surface of a Deep fluid
    • Zakharov, V. E. 1968 Stability of periodic waves of finite amplituDe on the surface of a Deep fluid. J. Appl. Mech. Tech. Phys. 9, 190-194.
    • (1968) J. Appl. Mech. Tech. Phys. , vol.9 , pp. 190-194
    • Zakharov, V.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.