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Volumn 21, Issue 9, 2008, Pages 2143-2178

Long wave expansions for water waves over random topography

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EID: 51849118236     PISSN: 09517715     EISSN: 13616544     Source Type: Journal    
DOI: 10.1088/0951-7715/21/9/014     Document Type: Article
Times cited : (29)

References (31)
  • 1
    • 38349102793 scopus 로고    scopus 로고
    • Large time existence for 3D water waves and asymptotics
    • Alvarez-Samaniego B and Lannes D 2008 Large time existence for 3D water waves and asymptotics Invent. Math. 171 485-541
    • (2008) Invent. Math. , vol.171 , Issue.3 , pp. 485-541
    • Alvarez-Samaniego, B.1    Lannes, D.2
  • 3
    • 0011913755 scopus 로고    scopus 로고
    • Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media: I. Derivation and linear theory
    • Bona J, Chen M and Saut J-C 2002 Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media: I. Derivation and linear theory J. Nonlinear Sci. 12 283-318
    • (2002) J. Nonlinear Sci. , vol.12 , Issue.4 , pp. 283-318
    • Bona, J.1    Chen, M.2    Saut, J.-C.3
  • 5
    • 34948841874 scopus 로고    scopus 로고
    • Influence of bottom topography on long water waves
    • Chazel F 2007 Influence of bottom topography on long water waves M2AN Math. Model. Numer. Anal. 41 771-99
    • (2007) M2AN Math. Model. Numer. Anal. , vol.41 , Issue.4 , pp. 771-799
    • Chazel, F.1
  • 6
    • 0001688084 scopus 로고
    • An existence theory for water waves and the Boussinesq and Korteweg-de Vries scaling limits
    • Craig W 1985 An existence theory for water waves and the Boussinesq and Korteweg-de Vries scaling limits Commun. Partial Diff. Eqns 8 787-1003
    • (1985) Commun. Partial Diff. Eqns , vol.10 , Issue.8 , pp. 787-1003
    • Craig, W.1
  • 7
    • 30544433668 scopus 로고    scopus 로고
    • Hamiltonian long-wave expansions for free surfaces and interfaces
    • Craig W, Guyenne P and Kalisch H 2005 Hamiltonian long-wave expansions for free surfaces and interfaces Commun. Pure Appl. Math. 58 1587-641
    • (2005) Commun. Pure Appl. Math. , vol.58 , Issue.12 , pp. 1587-1641
    • Craig, W.1    Guyenne, P.2    Kalisch, H.3
  • 9
    • 0002686768 scopus 로고
    • Numerical simulation of gravity waves
    • Craig W and Sulem C 1993 Numerical simulation of gravity waves J. Comput. Phys. 108 73-83
    • (1993) J. Comput. Phys. , vol.108 , Issue.1 , pp. 73-83
    • Craig, W.1    Sulem, C.2
  • 10
    • 0000784514 scopus 로고
    • Nonlinear modulation of gravity waves: A rigorous approach
    • Craig W, Sulem C and Sulem P-L 1992 Nonlinear modulation of gravity waves: a rigorous approach Nonlinearity 5 497-522
    • (1992) Nonlinearity , vol.5 , Issue.2 , pp. 497-522
    • Craig, W.1    Sulem, C.2    Sulem, P.-L.3
  • 13
    • 9744219698 scopus 로고    scopus 로고
    • Time reversal for dispersive waves in random media
    • Fouque J-P, Garnier J and Nachbin A 2004 Time reversal for dispersive waves in random media SIAM J. Appl. Math. 64 1810-38
    • (2004) SIAM J. Appl. Math. , vol.64 , Issue.5 , pp. 1810-1838
    • Fouque, J.-P.1    Garnier, J.2    Nachbin, A.3
  • 14
    • 35248899504 scopus 로고    scopus 로고
    • Optimal Boussinesq model for shallow-water waves interacting with a microstructure
    • Garnier J, Kraenkel R A and Nachbin A 2007 Optimal Boussinesq model for shallow-water waves interacting with a microstructure Phys. Rev. E 76 046311
    • (2007) Phys. Rev. , vol.76 , Issue.4 , pp. 046311
    • Garnier, J.1    Kraenkel, R.A.2    Nachbin, A.3
  • 16
    • 33744794298 scopus 로고    scopus 로고
    • Eddy viscosity for gravity waves propagating over turbulent surfaces
    • Garnier J and Nachbin A 2006 Eddy viscosity for gravity waves propagating over turbulent surfaces Phys. Fluids 18 055101
    • (2006) Phys. Fluids , vol.18 , Issue.5 , pp. 055101
    • Garnier, J.1    Nachbin, A.2
  • 17
    • 42749109068 scopus 로고    scopus 로고
    • Long waves in shallow water over a random seabed
    • Grataloup G and Mei C C 2003 Long waves in shallow water over a random seabed Phys. Rev. E 68 026314
    • (2003) Phys. Rev. , vol.68 , Issue.2 , pp. 026314
    • Grataloup, G.1    Mei, C.C.2
  • 18
    • 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 , Issue.4 , pp. 785-804
    • Howe, M.S.1
  • 19
    • 84972562218 scopus 로고
    • A mathematical justification for Korteweg-de Vries equation and Boussinesq equation of water surface waves
    • Kano T and Nishida T 1986 A mathematical justification for Korteweg-de Vries equation and Boussinesq equation of water surface waves Osaka J. Math. 23 389-413
    • (1986) Osaka J. Math. , vol.23 , pp. 389-413
    • Kano, T.1    Nishida, T.2
  • 20
    • 0037464962 scopus 로고    scopus 로고
    • Weakly nonlinear surface waves over a random seabed
    • Mei C C and Hancock M 2003 Weakly nonlinear surface waves over a random seabed J. Fluid Mech. 475 247-68
    • (2003) J. Fluid Mech. , vol.475 , pp. 247-268
    • Mei, C.C.1    Hancock, M.2
  • 21
    • 37649029595 scopus 로고    scopus 로고
    • Evolution of solitons over a randomly rough seabed
    • Mei C C and Li Y 2004 Evolution of solitons over a randomly rough seabed Phys. Rev. E 70 016302
    • (2004) Phys. Rev. , vol.70 , Issue.1 , pp. 016302
    • Mei, C.C.1    Li, Y.2
  • 22
    • 24644506765 scopus 로고    scopus 로고
    • Stiff microscale forcing and solitary wave refocusing
    • Mũoz Grajales J C and Nachbin A 2005 Stiff microscale forcing and solitary wave refocusing Multiscale Modeling Simul. 3 680-705
    • (2005) Multiscale Modeling Simul. , vol.3 , Issue.3 , pp. 680-705
    • Mũoz Grajales, J.C.1    Nachbin, A.2
  • 23
    • 0037281258 scopus 로고    scopus 로고
    • Apparent diffusion due to topographic microstructure in shallow waters
    • Nachbin A and Sølna K 2003 Apparent diffusion due to topographic microstructure in shallow waters Phys. Fluids 15 66-77
    • (2003) Phys. Fluids , vol.15 , Issue.1 , pp. 66-77
    • Nachbin, A.1    Sølna, K.2
  • 24
    • 84972533485 scopus 로고
    • Functional central limit theorems for strictly stationary processes satisfying the strong mixing condition
    • Oodaira H and Yoshihara K 1972 Functional central limit theorems for strictly stationary processes satisfying the strong mixing condition Kdai Math. Sem. Rep. 24 259-69
    • (1972) Kdai Math. Sem. Rep. , vol.24 , Issue.3 , pp. 259-269
    • Oodaira, H.1    Yoshihara, K.2
  • 25
    • 41349096203 scopus 로고    scopus 로고
    • Surface gravity waves over a two-dimensional random seabed
    • Pihl J H, Mei C C and Hancock M 2002 Surface gravity waves over a two-dimensional random seabed Phys. Rev. E 66 016611
    • (2002) Phys. Rev. , vol.66 , Issue.1 , pp. 016611
    • Pihl, J.H.1    Mei, C.C.2    Hancock, M.3
  • 26
    • 0020735107 scopus 로고
    • Gravity waves in a channel with a rough bottom
    • Rosales R and Papanicolaou G 1983 Gravity waves in a channel with a rough bottom Stud. Appl. Math. 68 89-102
    • (1983) Stud. Appl. Math. , vol.68 , Issue.2 , pp. 89-102
    • Rosales, R.1    Papanicolaou, G.2
  • 27
    • 0034364719 scopus 로고    scopus 로고
    • The long-wave limit for the water wave problem: I. the case of zero surface tension
    • Schneider G and Wayne C E 2000 The long-wave limit for the water wave problem: I. The case of zero surface tension Commun. Pure Appl. Math. 53 1475-535
    • (2000) Commun. Pure Appl. Math. , vol.53 , Issue.12 , pp. 1475-1535
    • Schneider, G.1    Wayne, C.E.2
  • 28
    • 0001227305 scopus 로고
    • The central limit theorem and ε-entropy
    • Strassen V and Dudley R M 1969 The central limit theorem and ε-entropy Probability and Information Theory (Lectures Notes in Mathematics) (Berlin: Springer) pp 224-31
    • (1969) Probability and Information Theory , vol.89 , pp. 224-231
    • Strassen, V.1    Dudley, R.M.2
  • 29
    • 33744803750 scopus 로고    scopus 로고
    • Corrections to the KdV approximation for water waves
    • Wright J D 2005 Corrections to the KdV approximation for water waves SIAM J. Math. Anal. 37 1161-206
    • (2005) SIAM J. Math. Anal. , vol.37 , Issue.4 , pp. 1161-1206
    • Wright, J.D.1
  • 30
    • 85009585833 scopus 로고
    • Gravity waves on the free surface of an incompressible perfect fluid of finite depth
    • Yosihara H 1982 Gravity waves on the free surface of an incompressible perfect fluid of finite depth Publ. Res. Inst. Math. Sci. 18 49-96
    • (1982) Publ. Res. Inst. Math. Sci. , vol.18 , Issue.1 , pp. 49-96
    • Yosihara, H.1
  • 31
    • 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 1990-4
    • (1968) J. Appl. Mech. Tech. Phys. , vol.9 , pp. 1990-1994
    • Zakharov, V.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.