-
2
-
-
26944460000
-
The zero surface tension limit of two-dimensional water waves
-
Ambrose D.M., and Masmoudi N. The zero surface tension limit of two-dimensional water waves. Comm. Pure Appl. Math. LVIII (2005) 1287-1315
-
(2005)
Comm. Pure Appl. Math.
, vol.LVIII
, pp. 1287-1315
-
-
Ambrose, D.M.1
Masmoudi, N.2
-
4
-
-
0032089232
-
Schéma de relaxation pour l'équation de Schrödinger non linéaire et les systèmes de Davey et Stewartson
-
Besse C. Schéma de relaxation pour l'équation de Schrödinger non linéaire et les systèmes de Davey et Stewartson. C. R. Acad. Sci. Paris Sér. I 326 12 (1998) 1427-1432
-
(1998)
C. R. Acad. Sci. Paris Sér. I
, vol.326
, Issue.12
, pp. 1427-1432
-
-
Besse, C.1
-
5
-
-
0032263037
-
Numerical study of elliptic-hyperbolic Davey-Stewartson system: dromions simulation and blow-up
-
Besse C., and Bruneau C.H. Numerical study of elliptic-hyperbolic Davey-Stewartson system: dromions simulation and blow-up. Math. Models Methods Appl. Sci. 8 8 (1998) 1363-1386
-
(1998)
Math. Models Methods Appl. Sci.
, vol.8
, Issue.8
, pp. 1363-1386
-
-
Besse, C.1
Bruneau, C.H.2
-
6
-
-
0011913755
-
Boussinesq equations and other systems for small-amplitude long waves in non-linear dispersive media. I: Derivation and linear theory
-
Bona J.L., Chen M., and Saut J.C. Boussinesq equations and other systems for small-amplitude long waves in non-linear dispersive media. I: Derivation and linear theory. J. Nonlinear Sci. 12 (2002) 283-318
-
(2002)
J. Nonlinear Sci.
, vol.12
, pp. 283-318
-
-
Bona, J.L.1
Chen, M.2
Saut, J.C.3
-
7
-
-
2442660478
-
Boussinesq equations and other systems for small-amplitude long waves in non-linear dispersive media. II: Nonlinear theory
-
Bona J.L., Chen M., and Saut J.C. Boussinesq equations and other systems for small-amplitude long waves in non-linear dispersive media. II: Nonlinear theory. Nonlinearity 17 (2004) 925-952
-
(2004)
Nonlinearity
, vol.17
, pp. 925-952
-
-
Bona, J.L.1
Chen, M.2
Saut, J.C.3
-
9
-
-
0001119719
-
The initial-value problem for the Korteweg-de Vries equation
-
Bona J.L., and Smith R. The initial-value problem for the Korteweg-de Vries equation. Philos. Trans. Roy. Soc. London Ser. A 278 (1975) 555-601
-
(1975)
Philos. Trans. Roy. Soc. London Ser. A
, vol.278
, pp. 555-601
-
-
Bona, J.L.1
Smith, R.2
-
10
-
-
0001681902
-
Théorie de l'intumescence liquide appelée onde solitaire ou de translation se propageant dans un canal rectangulaire
-
Boussinesq J.V. Théorie de l'intumescence liquide appelée onde solitaire ou de translation se propageant dans un canal rectangulaire. C. R. Acad. Sci. Paris Sér. A-B 72 (1871) 755-759
-
(1871)
C. R. Acad. Sci. Paris Sér. A-B
, vol.72
, pp. 755-759
-
-
Boussinesq, J.V.1
-
11
-
-
0001864672
-
Théorie de des ondes et remous qui se propagent le long d'un canal rectangulaire horizontal, en communiquant au liquide contenu dans ce canal des vitesses sensiblement pareilles de la surface au fond
-
Boussinesq J.V. Théorie de des ondes et remous qui se propagent le long d'un canal rectangulaire horizontal, en communiquant au liquide contenu dans ce canal des vitesses sensiblement pareilles de la surface au fond. J. Math. Pures Appl. 17 2 (1872) 55-108
-
(1872)
J. Math. Pures Appl.
, vol.17
, Issue.2
, pp. 55-108
-
-
Boussinesq, J.V.1
-
12
-
-
34948841874
-
Influence of bottom topography on long water waves
-
Chazel F. Influence of bottom topography on long water waves. M2AN 41 4 (2007) 771-799
-
(2007)
M2AN
, vol.41
, Issue.4
, pp. 771-799
-
-
Chazel, F.1
-
13
-
-
0001688084
-
An existence theory for water waves and the Boussinesq and Korteweg-de Vries scaling limits
-
Craig W. An existence theory for water waves and the Boussinesq and Korteweg-de Vries scaling limits. Comm. Partial Differential Equations 10 8 (1985) 787-1003
-
(1985)
Comm. Partial Differential Equations
, vol.10
, Issue.8
, pp. 787-1003
-
-
Craig, W.1
-
14
-
-
17144396016
-
Hamiltonian long-wave expansions for water waves over a rough bottom
-
Craig W., Guyenne P., Nicholls D.P., and Sulem C. Hamiltonian long-wave expansions for water waves over a rough bottom. Proc. R. Soc. A 461 (2005) 839-873
-
(2005)
Proc. R. Soc. A
, vol.461
, pp. 839-873
-
-
Craig, W.1
Guyenne, P.2
Nicholls, D.P.3
Sulem, C.4
-
15
-
-
35548942232
-
Dissipative Boussinesq equations
-
Special issue dedicated to J.V. Boussinesq
-
Dutykh D., and Dias F. Dissipative Boussinesq equations. C. R. Mécanique 335 (2007) 559-583 Special issue dedicated to J.V. Boussinesq
-
(2007)
C. R. Mécanique
, vol.335
, pp. 559-583
-
-
Dutykh, D.1
Dias, F.2
-
16
-
-
33748106652
-
A fast method for non-linear three-dimensional free-surface waves
-
Fochesato C., and Dias F. A fast method for non-linear three-dimensional free-surface waves. Proc. Roy. Soc. London A 462 (2001) 2715-2735
-
(2001)
Proc. Roy. Soc. London A
, vol.462
, pp. 2715-2735
-
-
Fochesato, C.1
Dias, F.2
-
17
-
-
0035871738
-
A fully non-linear model for three-dimensional overturning waves over arbitrary bottom
-
Grilli S., Guyenne P., and Dias F. A fully non-linear model for three-dimensional overturning waves over arbitrary bottom. Int. J. Numer. Methods Fluids 35 (2001) 829-867
-
(2001)
Int. J. Numer. Methods Fluids
, vol.35
, pp. 829-867
-
-
Grilli, S.1
Guyenne, P.2
Dias, F.3
-
18
-
-
33847163682
-
A long wave approximation for capillary-gravity waves and an effect of the bottom
-
Iguchi T. A long wave approximation for capillary-gravity waves and an effect of the bottom. Comm. Partial Differential Equations 32 (2007) 37-85
-
(2007)
Comm. Partial Differential Equations
, vol.32
, pp. 37-85
-
-
Iguchi, T.1
-
19
-
-
0015557503
-
On the development of a solitary wave moving over an uneven bottom
-
Johnson R.S. On the development of a solitary wave moving over an uneven bottom. Proc. Cambridge Philos. Soc. 73 (1973) 183-203
-
(1973)
Proc. Cambridge Philos. Soc.
, vol.73
, pp. 183-203
-
-
Johnson, R.S.1
-
20
-
-
0001632163
-
Diffractive non-linear geometric optics with rectification
-
Joly J.L., Métivier G., and Rauch J. Diffractive non-linear geometric optics with rectification. Indiana Univ. Math. J. 47 (1998) 1167-1241
-
(1998)
Indiana Univ. Math. J.
, vol.47
, pp. 1167-1241
-
-
Joly, J.L.1
Métivier, G.2
Rauch, J.3
-
21
-
-
0000262859
-
On the stability of solitary waves in weakly dispersing media
-
Kadomtsev B.B., and Petviashvili V.I. On the stability of solitary waves in weakly dispersing media. Sov. Phys. Dokl. 15 (1970) 539-541
-
(1970)
Sov. Phys. Dokl.
, vol.15
, pp. 539-541
-
-
Kadomtsev, B.B.1
Petviashvili, V.I.2
-
22
-
-
0000261777
-
Effect of an uneven bottom on gravity waves
-
Kakutani T. Effect of an uneven bottom on gravity waves. J. Phys. Soc. Japan 30 1 (1971) 272-276
-
(1971)
J. Phys. Soc. Japan
, vol.30
, Issue.1
, pp. 272-276
-
-
Kakutani, T.1
-
23
-
-
0002362136
-
On the Cauchy problem for the (generalized) Korteweg-de Vries equation
-
Studies in Applied Mathematics, Academic, New York-London
-
Kato T. On the Cauchy problem for the (generalized) Korteweg-de Vries equation. Studies in Applied Mathematics. Advances in Mathematics, Supplementary Studies vol. 8 (1983), Academic, New York-London 93-128
-
(1983)
Advances in Mathematics, Supplementary Studies
, vol.8
, pp. 93-128
-
-
Kato, T.1
-
24
-
-
84968502715
-
Well-posedness of the initial value problem for the Korteweg-de Vries equation
-
Kenig C.E., Ponce G., and Vega L. Well-posedness of the initial value problem for the Korteweg-de Vries equation. J. Amer. Math. Soc. 4 2 (1991) 323-347
-
(1991)
J. Amer. Math. Soc.
, vol.4
, Issue.2
, pp. 323-347
-
-
Kenig, C.E.1
Ponce, G.2
Vega, L.3
-
25
-
-
0001524186
-
On the change of form of long waves advancing in the rectangular canal and a new type of long stationary waves
-
Korteweg D.G., and de Vries G. On the change of form of long waves advancing in the rectangular canal and a new type of long stationary waves. Phil. Mag. 39 (1895) 422-443
-
(1895)
Phil. Mag.
, vol.39
, pp. 422-443
-
-
Korteweg, D.G.1
de Vries, G.2
-
26
-
-
22544482964
-
Well-posedness of the water-waves equations
-
Lannes D. Well-posedness of the water-waves equations. J. Amer. Math. Soc. 18 (2005) 605-654
-
(2005)
J. Amer. Math. Soc.
, vol.18
, pp. 605-654
-
-
Lannes, D.1
-
27
-
-
0038521595
-
Secular growth estimates for hyperbolic systems
-
Lannes D. Secular growth estimates for hyperbolic systems. J. Differential Equations 190 2 (2003) 466-503
-
(2003)
J. Differential Equations
, vol.190
, Issue.2
, pp. 466-503
-
-
Lannes, D.1
-
28
-
-
33846111373
-
Weakly transverse Boussinesq systems and the Kadomtsev-Petviashvili approximation
-
Lannes D., and Saut J.C. Weakly transverse Boussinesq systems and the Kadomtsev-Petviashvili approximation. Nonlinearity 19 (2006) 2853-2875
-
(2006)
Nonlinearity
, vol.19
, pp. 2853-2875
-
-
Lannes, D.1
Saut, J.C.2
-
29
-
-
0013730939
-
On the Korteweg-de Vries equation for a gradually varied channel
-
Miles J.W. On the Korteweg-de Vries equation for a gradually varied channel. J. Fluid Mech. 91 1 (1979) 181-190
-
(1979)
J. Fluid Mech.
, vol.91
, Issue.1
, pp. 181-190
-
-
Miles, J.W.1
-
30
-
-
0000306561
-
The Cauchy-Poisson problem
-
254, Dinamika Zidkost. so Svobod. Granicami (in Russian)
-
Nalimov V.I. The Cauchy-Poisson problem. Dinamika Sploshn. Sredy 18 (1974) 104-210 254, Dinamika Zidkost. so Svobod. Granicami (in Russian)
-
(1974)
Dinamika Sploshn. Sredy
, vol.18
, pp. 104-210
-
-
Nalimov, V.I.1
-
33
-
-
84958426983
-
Long waves on a beach
-
Peregrine D.H. Long waves on a beach. J. Fluid Mech. 27 4 (1967) 815-827
-
(1967)
J. Fluid Mech.
, vol.27
, Issue.4
, pp. 815-827
-
-
Peregrine, D.H.1
-
34
-
-
0036012969
-
The long-wave limit for the water-wave problem. I. The case of zero surface tension
-
Schneider G., and Wayne C.E. The long-wave limit for the water-wave problem. I. The case of zero surface tension. Comm. Pure Appl. Math. 162 3 (2002) 247-285
-
(2002)
Comm. Pure Appl. Math.
, vol.162
, Issue.3
, pp. 247-285
-
-
Schneider, G.1
Wayne, C.E.2
-
35
-
-
33744803750
-
Corrections to the KdV approximation for water waves
-
Wright J.D. 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
-
36
-
-
0031506263
-
Well-posedness in Sobolev spaces of the full water wave problem in 2-D
-
Wu S. 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
-
37
-
-
0033446356
-
Well-posedness in Sobolev spaces of the full water wave problem in 3-D
-
Wu S. 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
-
38
-
-
85009585833
-
Gravity waves on the free surface of an incompressible perfect fluid of finite depth
-
Yosihara H. 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
|