-
1
-
-
34250447917
-
Stability of periodic waves of finite amplitude on the surface of a deep fluid
-
V. E. Zakharov, "Stability of periodic waves of finite amplitude on the surface of a deep fluid", J. Appl. Mech. Tech. Phys. 9:2 (1968), 190-194.
-
(1968)
J. Appl. Mech. Tech. Phys
, vol.9
, Issue.2
, pp. 190-194
-
-
Zakharov, V.E.1
-
2
-
-
0002686768
-
Numerical simulation of gravity waves
-
W. Craig and C. Sulem, "Numerical simulation of gravity waves", J. Comput. Phys. 108:1 (1993), 73-83.
-
(1993)
J. Comput. Phys
, vol.108
, Issue.1
, pp. 73-83
-
-
Craig, W.1
Sulem, C.2
-
3
-
-
84974513241
-
A variational principle for a fluid with a free surface
-
J. C. Luke, "A variational principle for a fluid with a free surface", J. Fluid Mech. 27 (1967), 395-397.
-
(1967)
J. Fluid Mech
, vol.27
, pp. 395-397
-
-
Luke, J.C.1
-
4
-
-
0344939482
-
Non local Cauchy problems in fluid dynamics
-
Nice, Gauthier- Villars, Paris
-
L. V. Ovsiannikov, "Non local Cauchy problems in fluid dynamics", Actes du congrès international des mathématiciens (Nice, 1970), vol. 3, Gauthier- Villars, Paris 1971, pp. 137-142.
-
(1970)
Actes du congrès international des mathématiciens
, vol.3
, pp. 137-142
-
-
Ovsiannikov, L.V.1
-
5
-
-
0000306561
-
The Cauchy-Poisson problem
-
[V. I. Nalimov, "The Cauchy-Poisson problem", Continuum Dynamics 18 (1974), 104-210.]
-
(1974)
Continuum Dynamics
, vol.18
, pp. 104-210
-
-
Nalimov, I.1
-
6
-
-
0040325565
-
Sur les ondes de surface de l'eau avec une justification mathématique des équations des ondes en eau peu profonde
-
T. Kano and T. Nishida, "Sur les ondes de surface de l'eau avec une justification mathématique des équations des ondes en eau peu profonde", J. Math. Kyoto Univ. 19:2 (1979), 335-370.
-
(1979)
J. Math. Kyoto Univ
, vol.19
, Issue.2
, pp. 335-370
-
-
Kano, T.1
Nishida, T.2
-
7
-
-
85164641269
-
-
M. Shinbrot, The initial value problem for surface waves under gravity. I. The simplest case, Indiana Univ. Math. J. 25:3 (1976), 281-300.
-
M. Shinbrot, "The initial value problem for surface waves under gravity. I. The simplest case", Indiana Univ. Math. J. 25:3 (1976), 281-300.
-
-
-
-
8
-
-
85164642883
-
-
J. Reeder and M. Shinbrot, The initial value problem for surface waves under gravity. II. The simplest 3-dimensional case, Indiana Univ. Math. J. 25:11 (1976), 1049-1071.
-
J. Reeder and M. Shinbrot, "The initial value problem for surface waves under gravity. II. The simplest 3-dimensional case", Indiana Univ. Math. J. 25:11 (1976), 1049-1071.
-
-
-
-
9
-
-
0018433448
-
The initial value problem for surface waves under gravity. III. Uniformly analytic initial domains
-
J. Reeder and M. Shinbrot, "The initial value problem for surface waves under gravity. III. Uniformly analytic initial domains", J. Math. Anal. Appl. 67:2 (1979), 340-391.
-
(1979)
J. Math. Anal. Appl
, vol.67
, Issue.2
, pp. 340-391
-
-
Reeder, J.1
Shinbrot, M.2
-
10
-
-
0038247451
-
Finite time analyticity for the two- and three-dimensional Kelvin-Helmholtz instability
-
C. Sulem, P.-L. Sulem, C. Bardos, and U. Frisch, "Finite time analyticity for the two- and three-dimensional Kelvin-Helmholtz instability", Comm. Math. Phys. 80:4 (1981), 485-516.
-
(1981)
Comm. Math. Phys
, vol.80
, Issue.4
, pp. 485-516
-
-
Sulem, C.1
Sulem, P.-L.2
Bardos, C.3
Frisch, U.4
-
11
-
-
85009585833
-
Gravity waves on the free surface of an incompressible perfect fluid of finite depth
-
H. Yosihara, "Gravity waves on the free surface of an incompressible perfect fluid of finite depth", Publ. Res. Inst. Math. Sci. 18:1 (1982), 49-96.
-
(1982)
Publ. Res. Inst. Math. Sci
, vol.18
, Issue.1
, pp. 49-96
-
-
Yosihara, H.1
-
12
-
-
0000375767
-
Capillary-gravity waves for an incompressible ideal fluid, J
-
H. Yosihara, "Capillary-gravity waves for an incompressible ideal fluid", J. Math. Kyoto Univ. 23:4 (1983), 649-694.
-
(1983)
Math. Kyoto Univ
, vol.23
, Issue.4
, pp. 649-694
-
-
Yosihara, H.1
-
13
-
-
0001688084
-
An existence theory for water waves and the Boussinesq and Korteweg-de Vries scaling limits
-
7871003
-
W. Craig, "An existence theory for water waves and the Boussinesq and Korteweg-de Vries scaling limits'", Comm. Partial Differential Equations 10:8 (1985), 7871003.
-
(1985)
Comm. Partial Differential Equations
, vol.10
, pp. 8
-
-
Craig, W.1
-
14
-
-
0034364719
-
The long-wave limit for the water wave problem. I. The case of zero surface tension
-
M. Shinbrot and C. E. Wayne, "The long-wave limit for the water wave problem. I. The case of zero surface tension", Comm. Pure Appl. Math. 53:12 (2000), 1475-1535.
-
(2000)
Comm. Pure Appl. Math
, vol.53
, Issue.12
, pp. 1475-1535
-
-
Shinbrot, M.1
Wayne, C.E.2
-
15
-
-
0036012969
-
The rigorous approximation of long-wavelength capillary-gravity waves
-
M. Shinbrot and C. E. Wayne, "The rigorous approximation of long-wavelength capillary-gravity waves", Arch. Ration. Mech. Anal. 162:3 (2002), 247-285.
-
(2002)
Arch. Ration. Mech. Anal
, vol.162
, Issue.3
, pp. 247-285
-
-
Shinbrot, M.1
Wayne, C.E.2
-
16
-
-
0031506263
-
Well-posedness in Sobolev spaces of the full water wave problem in 2-D
-
S. Wu, "Well-posedness in Sobolev spaces of the full water wave problem in 2-D", Invent. Math. 130:1 (1997), 39-72.
-
(1997)
Invent. Math
, vol.130
, Issue.1
, pp. 39-72
-
-
Wu, S.1
-
17
-
-
0033446356
-
Well-posedness in Sobolev spaces of the full water wave problem in 3-D
-
S. Wu, "Well-posedness in Sobolev spaces of the full water wave problem in 3-D", J. Amer. Math. Soc. 12:2 (1999), 445-495.
-
(1999)
J. Amer. Math. Soc
, vol.12
, Issue.2
, pp. 445-495
-
-
Wu, S.1
-
18
-
-
22544482964
-
Well-posedness of the water-waves equations
-
D. Lannes, "Well-posedness of the water-waves equations", J. Amer. Math. Soc. 18:3 (2005), 605-654.
-
(2005)
J. Amer. Math. Soc
, vol.18
, Issue.3
, pp. 605-654
-
-
Lannes, D.1
-
19
-
-
0001647402
-
Détermination rigoureuse des ondes permanentes d'ampleur finie
-
T. Levi-Civita, "Détermination rigoureuse des ondes permanentes d'ampleur finie", Math. Ann. 93:1 (1925), 264-314.
-
(1925)
Math. Ann
, vol.93
, Issue.1
, pp. 264-314
-
-
Levi-Civita, T.1
-
20
-
-
85164654259
-
-
Russian source
-
Russian source
-
-
-
-
21
-
-
34548460933
-
The exact theory of steady state waves on the surface of a heavy liquid
-
No 813, Univ. of Wisconsin, Madison
-
English transl., A. I. Nekrasov, The exact theory of steady state waves on the surface of a heavy liquid, MRC Technical Report No 813, Univ. of Wisconsin, Madison 1967.
-
(1967)
MRC Technical Report
-
-
English transl, A.1
Nekrasov, I.2
-
22
-
-
0001534794
-
Détermination rigoureuse des ondes irrotationelles périodiques dans un canal à profondeur finie
-
D. Struik, "Détermination rigoureuse des ondes irrotationelles périodiques dans un canal à profondeur finie", Math. Ann. 95:1 (1926), 595-634.
-
(1926)
Math. Ann
, vol.95
, Issue.1
, pp. 595-634
-
-
Struik, D.1
-
23
-
-
85164650100
-
-
AH CCCP 41:7 (1943), 289-291.
-
AH CCCP 41:7 (1943), 289-291.
-
-
-
-
26
-
-
0034368951
-
On the motion of the free surface of a liquid
-
D. Christodoulou and H. Lindblad, "On the motion of the free surface of a liquid", Comm. Pure Appl. Math. 53:12 (2000), 1536-1602.
-
(2000)
Comm. Pure Appl. Math
, vol.53
, Issue.12
, pp. 1536-1602
-
-
Christodoulou, D.1
Lindblad, H.2
-
27
-
-
26044448758
-
Well-posedness for the motion of an incompressible liquid with free surface boundary
-
H. Lindblad, "Well-posedness for the motion of an incompressible liquid with free surface boundary", Ann. of Math. (2) 162:1 (2005), 109-194.
-
(2005)
Ann. of Math. (2)
, vol.162
, Issue.1
, pp. 109-194
-
-
Lindblad, H.1
-
28
-
-
0011555392
-
The equations of motion of a perfect fluid with free boundary are not well posed
-
D. Ebin, "The equations of motion of a perfect fluid with free boundary are not well posed", Comm. Partial Differential Equations 12:10 (1987), 1175-1201.
-
(1987)
Comm. Partial Differential Equations
, vol.12
, Issue.10
, pp. 1175-1201
-
-
Ebin, D.1
-
29
-
-
0020292888
-
Hamiltonian structure, symmetries and conservation laws for water waves
-
T. B. Benjamin and P. J. Olver, "Hamiltonian structure, symmetries and conservation laws for water waves", J. Fluid Mech. 125 (1982), 137-185.
-
(1982)
J. Fluid Mech
, vol.125
, pp. 137-185
-
-
Benjamin, T.B.1
Olver, P.J.2
-
30
-
-
69549102728
-
Water waves and Friedrichs expansion
-
Hiroshima, North-Holland Math. Stud, North-Holland, Amsterdam
-
T. Kano and T. Nishida, "Water waves and Friedrichs expansion", Recent topics in nonlinear PDE (Hiroshima, 1983), North-Holland Math. Stud., vol. 98, North-Holland, Amsterdam 1984, pp. 39-57.
-
(1983)
Recent topics in nonlinear PDE
, vol.98
, pp. 39-57
-
-
Kano, T.1
Nishida, T.2
-
31
-
-
84972562218
-
A mathematical justification for Korteweg-de Vries equation and Boussinesq equation of water surface waves
-
T. Kano and T. Nishida, "A mathematical justification for Korteweg-de Vries equation and Boussinesq equation of water surface waves", Osaka J. Math. 23:2 (1986), 389-413.
-
(1986)
Osaka J. Math
, vol.23
, Issue.2
, pp. 389-413
-
-
Kano, T.1
Nishida, T.2
-
32
-
-
33744803750
-
Corrections to the KdV approximation for water waves
-
J. D. Wright, "Corrections to the KdV approximation for water waves", SIAM J. Math. Anal. 37:4 (2005), 1161-1206.
-
(2005)
SIAM J. Math. Anal
, vol.37
, Issue.4
, pp. 1161-1206
-
-
Wright, J.D.1
-
33
-
-
27944474754
-
Long wave approximations for water waves
-
J. Bona, Th. Colin, and D. Lannes, "Long wave approximations for water waves", Arch-Ration. Mech. Anal. 178:3 (2005), 373-410.
-
(2005)
Arch-Ration. Mech. Anal
, vol.178
, Issue.3
, pp. 373-410
-
-
Bona, J.1
Colin, T.2
Lannes, D.3
-
34
-
-
0000784514
-
Nonlinear modulation of gravity waves: A rigorous approach
-
W. Craig, C. Sulem, and P.-L. Sulem, "Nonlinear modulation of gravity waves: a rigorous approach", Nonlinearity 5:2 (1992), 497-522.
-
(1992)
Nonlinearity
, vol.5
, Issue.2
, pp. 497-522
-
-
Craig, W.1
Sulem, C.2
Sulem, P.-L.3
-
35
-
-
0001654990
-
The modulational regime of three-dimensional water waves and the Davey-Stewartson system
-
W. Craig, U. Schanz, and C. Sulem, "The modulational regime of three-dimensional water waves and the Davey-Stewartson system", Ann. Inst. H. Poincaré Anal. Non Linéaire 14:5 (1997), 615-667.
-
(1997)
Ann. Inst. H. Poincaré Anal. Non Linéaire
, vol.14
, Issue.5
, pp. 615-667
-
-
Craig, W.1
Schanz, U.2
Sulem, C.3
-
36
-
-
0028443419
-
Hamiltonian long-wave approximations to the water-wave problem
-
W. Craig and M. Groves, "Hamiltonian long-wave approximations to the water-wave problem", Wave Motion 19:4 (1994), 367-389.
-
(1994)
Wave Motion
, vol.19
, Issue.4
, pp. 367-389
-
-
Craig, W.1
Groves, M.2
-
37
-
-
17144396016
-
Hamiltonian long-wave expansions for water waves over a rough bottom
-
W. Craig, P. Guyenne, D. Nicholls, and C. Sulem, "Hamiltonian long-wave expansions for water waves over a rough bottom", Proc. R. Soc. Lond. Ser. A. Math. Phys. Eng. Sci. 461:2055 (2005), 839-873.
-
(2005)
Proc. R. Soc. Lond. Ser. A. Math. Phys. Eng. Sci
, vol.461
, Issue.2055
, pp. 839-873
-
-
Craig, W.1
Guyenne, P.2
Nicholls, D.3
Sulem, C.4
-
38
-
-
0039965249
-
Existenzbeweis für cnoidal waves unter Berücksichtigung der Oberflächenspannung
-
E. Zeidler, "Existenzbeweis für cnoidal waves unter Berücksichtigung der Oberflächenspannung", Arch. Rational Mech. Anal. 41:2 (1971), 81-107.
-
(1971)
Arch. Rational Mech. Anal
, vol.41
, Issue.2
, pp. 81-107
-
-
Zeidler, E.1
-
39
-
-
0019656759
-
On solitary water-waves of finite amplitude
-
C. J. Amick and J. F. Toland, "On solitary water-waves of finite amplitude", Arch. Ration. Mech. Anal. 76:1 (1981), 9-95.
-
(1981)
Arch. Ration. Mech. Anal
, vol.76
, Issue.1
, pp. 9-95
-
-
Amick, C.J.1
Toland, J.F.2
-
40
-
-
0000166670
-
On the Stokes conjecture for the wave of extreme form
-
C. J. Amick, L. E. Fraenkel, and J. F. Toland, "On the Stokes conjecture for the wave of extreme form", Acta Math. 148:1 (1982), 193-214.
-
(1982)
Acta Math
, vol.148
, Issue.1
, pp. 193-214
-
-
Amick, C.J.1
Fraenkel, L.E.2
Toland, J.F.3
-
41
-
-
0022284536
-
Nonlinear wave motion and homoclinic bifurcation
-
Lyngby, North-Holland, Amsterdam
-
K. Kirchgässner, "Nonlinear wave motion and homoclinic bifurcation", Theoretical and applied mechanics (Lyngby, 1984), North-Holland, Amsterdam 1985, pp. 219-231.
-
(1984)
Theoretical and applied mechanics
, pp. 219-231
-
-
Kirchgässner, K.1
-
42
-
-
0003540692
-
Hamiltonian and Lagrangian flows on center manifolds. With applications to elliptic variational problems
-
Springer-Verlag, Berlin
-
A. Mielke, Hamiltonian and Lagrangian flows on center manifolds. With applications to elliptic variational problems, Lecture Notes in Math., vol. 1489, Springer-Verlag, Berlin 1991.
-
(1991)
Lecture Notes in Math
, vol.1489
-
-
Mielke, A.1
-
43
-
-
0000226991
-
Three-dimensional, nonlinear wave interaction in water of constant depth
-
J. Reeder and M. Shinbrot, "Three-dimensional, nonlinear wave interaction in water of constant depth", Nonlinear Anal. 5:3 (1981), 303-323.
-
(1981)
Nonlinear Anal
, vol.5
, Issue.3
, pp. 303-323
-
-
Reeder, J.1
Shinbrot, M.2
-
44
-
-
0034550889
-
Travelling two and three dimensional capillary gravity water waves
-
W. Craig and D. Nicholls, "Travelling two and three dimensional capillary gravity water waves", SIAM J. Math. Anal. 32:2 (2000), 323-359.
-
(2000)
SIAM J. Math. Anal
, vol.32
, Issue.2
, pp. 323-359
-
-
Craig, W.1
Nicholls, D.2
-
45
-
-
0035610302
-
Nash-Moser theory for standing water waves
-
P. I. Plotnikov and J. F. Toland, "Nash-Moser theory for standing water waves", Arch. Ration. Mech. Anal. 159:1 (2001), 1-83.
-
(2001)
Arch. Ration. Mech. Anal
, vol.159
, Issue.1
, pp. 1-83
-
-
Plotnikov, P.I.1
Toland, J.F.2
-
46
-
-
23944524329
-
Standing waves on an infinitely deep perfect fluid under gravity
-
G. Iooss, P. I. Plotnikov, and J. F. Toland, "Standing waves on an infinitely deep perfect fluid under gravity", Arch. Ration. Mech. Anal. 177:3 (2005), 367-478.
-
(2005)
Arch. Ration. Mech. Anal
, vol.177
, Issue.3
, pp. 367-478
-
-
Iooss, G.1
Plotnikov, P.I.2
Toland, J.F.3
-
48
-
-
0037107483
-
Non-existence of solitary water waves in three dimensions
-
W. Craig, "Non-existence of solitary water waves in three dimensions", R. Soc. Lond. Philos. Trans. Ser. A. Math. Phys. Eng. Sci. 360:1799 (2002), 2127-2135.
-
(2002)
R. Soc. Lond. Philos. Trans. Ser. A. Math. Phys. Eng. Sci
, vol.360
, Issue.1799
, pp. 2127-2135
-
-
Craig, W.1
-
49
-
-
84969657666
-
Fully localised solitary-wave solutions of the three-dimensional gravity-capillary water-wave problem
-
to appear
-
M. Groves and S.-M. Sun, "Fully localised solitary-wave solutions of the three-dimensional gravity-capillary water-wave problem", Arch. Ration. Mech. Anal. (to appear).
-
Arch. Ration. Mech. Anal
-
-
Groves, M.1
Sun, S.-M.2
-
50
-
-
85164637649
-
-
Russian source
-
Russian source
-
-
-
-
51
-
-
85164639305
-
-
English transl., P.I. Plotnikov, Nonuniqueness of solutions of a problem on solitary waves, and bifurcations of critical points of smooth functionals, Math. USSR-Izv. 38:2 (1992), 333-357.
-
English transl., P.I. Plotnikov, "Nonuniqueness of solutions of a problem on solitary waves, and bifurcations of critical points of smooth functionals", Math. USSR-Izv. 38:2 (1992), 333-357.
-
-
-
-
52
-
-
33744797365
-
Solitary water wave interactions
-
W. Craig, P. Guyenne, J. Hammack, D. Henderson, and C. Sulem, "Solitary water wave interactions", Phys. Fluids 18:5 (2006), 057106.
-
(2006)
Phys. Fluids
, vol.18
, Issue.5
, pp. 057106
-
-
Craig, W.1
Guyenne, P.2
Hammack, J.3
Henderson, D.4
Sulem, C.5
-
53
-
-
2342508836
-
On the non-linear energy transfer in a gravity-wave spectrum. I. General theory
-
K. Hasselmann, "On the non-linear energy transfer in a gravity-wave spectrum. I. General theory", J. Fluid Mech. 12 (1962), 481-500.
-
(1962)
J. Fluid Mech
, vol.12
, pp. 481-500
-
-
Hasselmann, K.1
-
54
-
-
85164639517
-
-
Russian source
-
Russian source
-
-
-
-
55
-
-
0016567684
-
Statistical description of nonlinear wave fields
-
English transl., V. E. Zakharov and V. S. L'vov, "Statistical description of nonlinear wave fields", Radiophys. and Quantum Electronics 18:10 (1975), 1084-1097.
-
(1975)
Radiophys. and Quantum Electronics
, vol.18
, Issue.10
, pp. 1084-1097
-
-
English transl, V.1
Zakharov, E.2
L'vov, V.S.3
-
56
-
-
85164641085
-
-
V. E. Zakharov, V. S. L'vov, and G. Falkovich, Kolmogorov spectra of turbulence. I. Wave turbulence, Springer-Verlag, Berlin-New York 1992.
-
V. E. Zakharov, V. S. L'vov, and G. Falkovich, Kolmogorov spectra of turbulence. I. Wave turbulence, Springer-Verlag, Berlin-New York 1992.
-
-
-
-
57
-
-
0039658608
-
Homogenization limits and Wigner transforms
-
P. Gérard, P. Markowich, N. Mauser, and F. Poupaud, "Homogenization limits and Wigner transforms", Comm. Pure Appl. Math. 50:4 (1997), 323-379.
-
(1997)
Comm. Pure Appl. Math
, vol.50
, Issue.4
, pp. 323-379
-
-
Gérard, P.1
Markowich, P.2
Mauser, N.3
Poupaud, F.4
-
58
-
-
0021861609
-
Directional spectra of wind-generated waves
-
M. A. Donelan, J. Hamilton, and W. H. Hui, "Directional spectra of wind-generated waves", R. Soc. Lond. Philos. Trans. Ser. A. Math. Phys. Eng. Sci. 315:1534 (1985), 509-562.
-
(1985)
R. Soc. Lond. Philos. Trans. Ser. A. Math. Phys. Eng. Sci
, vol.315
, Issue.1534
, pp. 509-562
-
-
Donelan, M.A.1
Hamilton, J.2
Hui, W.H.3
|