-
1
-
-
0000166670
-
On the Stokes conjecture for the wave of extreme form
-
C. J. AMICK, L. E. FRAENKEL & J. F. TOLAND, On the Stokes conjecture for the wave of extreme form, Acta Math. 148 (1982), 193-214.
-
(1982)
Acta Math.
, vol.148
, pp. 193-214
-
-
Amick, C.J.1
Fraenkel, L.E.2
Toland, J.F.3
-
2
-
-
0038880027
-
Analysis and computation of symmetry-breaking bifurcation and scaling laws using group theoretic methods
-
P. J. ASTON, Analysis and computation of symmetry-breaking bifurcation and scaling laws using group theoretic methods, SIAM J. Math. Anal. 22 (1991), 181-212.
-
(1991)
SIAM J. Math. Anal.
, vol.22
, pp. 181-212
-
-
Aston, P.J.1
-
4
-
-
0029675640
-
A Lagrangian for water waves
-
A. M. BALK, A Lagrangian for water waves, Phys. Fluids 8 (1996), 416-420.
-
(1996)
Phys. Fluids
, vol.8
, pp. 416-420
-
-
Balk, A.M.1
-
6
-
-
0003372381
-
Lectures on nonlinear wave motion
-
Nonlinear Wave Motion (A. C. Newell, ed.), Amer. Math. Soc.
-
T. B. BENJAMIN, Lectures on nonlinear wave motion, In Nonlinear Wave Motion (A. C. Newell, ed.), Lectures in Applied Mathematics, no. 15, Amer. Math. Soc., 1974, pp. 3-48.
-
(1974)
Lectures in Applied Mathematics, No. 15
, pp. 3-48
-
-
Benjamin, T.B.1
-
7
-
-
0032090787
-
Sur les ondes de stokes et une conjecture de levi-civita
-
B. BUFFONI, E. N. DANCER & J. F. TOLAND, Sur les ondes de Stokes et une conjecture de Levi-Civita, C. R. Acad. Sci. Paris, Série 1 326 (1998), 1265-1268.
-
(1998)
C. R. Acad. Sci. Paris, Série 1
, vol.326
, pp. 1265-1268
-
-
Buffoni, B.1
Dancer, E.N.2
Toland, J.F.3
-
10
-
-
0040063519
-
The equivalence of Bernoulli's equation and a set of integral relations for periodic waves
-
J. G. BYATT-SMITH, The equivalence of Bernoulli's equation and a set of integral relations for periodic waves, I. M. A. Jour. math. (1979), 19-23.
-
(1979)
I. M. A. Jour. Math.
, pp. 19-23
-
-
Byatt-Smith, J.G.1
-
12
-
-
0015746829
-
Bifurcation, perturbation of simple eigenvalues and linearized stability
-
M. G. CRANDALL & P. H. RABINOWITZ, Bifurcation, perturbation of simple eigenvalues and linearized stability, Arch. Rational Mech. Anal. 52 (1973), 161-180.
-
(1973)
Arch. Rational Mech. Anal.
, vol.52
, pp. 161-180
-
-
Crandall, M.G.1
Rabinowitz, P.H.2
-
13
-
-
0010173389
-
On a conjecture of Levi-Civita
-
J. M. CUSHING, On a conjecture of Levi-Civita, J. Math. Mech. 19 (1970), 1047-1050.
-
(1970)
J. Math. Mech.
, vol.19
, pp. 1047-1050
-
-
Cushing, J.M.1
-
14
-
-
0042014763
-
Analytic description of the free surface dynamics of an ideal fluid (canonical formalism and conformal mapping)
-
A. I. DYACHENKO, E. A. KUZNETSOV, M. D. SPECTOR & V. E. ZAKHAROV, Analytic description of the free surface dynamics of an ideal fluid (canonical formalism and conformal mapping), Physics Letters A 1 (1996), 73-79.
-
(1996)
Physics Letters A
, vol.1
, pp. 73-79
-
-
Dyachenko, A.I.1
Kuznetsov, E.A.2
Spector, M.D.3
Zakharov, V.E.4
-
16
-
-
0039331554
-
Gravity-capillary waves on the free surface of an ideal fluid of infinite depth, existence of solitary waves
-
G. IOOSS & P. KIRRMAN, Gravity-capillary waves on the free surface of an ideal fluid of infinite depth, existence of solitary waves, Arch. Rational Mech. Anal. 136 (1996), 1-19.
-
(1996)
Arch. Rational Mech. Anal.
, vol.136
, pp. 1-19
-
-
Iooss, G.1
Kirrman, P.2
-
17
-
-
0022904427
-
Symmetry and the bifurcation of capillary-gravity waves
-
M. C. W. JONES & J. F. TOLAND, Symmetry and the bifurcation of capillary-gravity waves, Arch. Rational Mech. Anal. 96 (1986), 29-53.
-
(1986)
Arch. Rational Mech. Anal.
, vol.96
, pp. 29-53
-
-
Jones, M.C.W.1
Toland, J.F.2
-
18
-
-
0023702842
-
Nonlinearly resonant surface waves and homoclinc bifurcation
-
K. KIRCHGASSNER, Nonlinearly resonant surface waves and homoclinc bifurcation, Adv. Appl. Mech. 26 (1988), 135-181.
-
(1988)
Adv. Appl. Mech.
, vol.26
, pp. 135-181
-
-
Kirchgassner, K.1
-
19
-
-
0001647402
-
Détermination rigoureuse des ondes permanentes d'ampleur finie
-
T. LEVI-CIVITA, Détermination rigoureuse des ondes permanentes d'ampleur finie, Math. Annalen 93 (1925), 264-314.
-
(1925)
Math. Annalen
, vol.93
, pp. 264-314
-
-
Levi-Civita, T.1
-
20
-
-
84968518387
-
A note on harmonic functions and a hydrodynamic application
-
H. LEWY, A note on harmonic functions and a hydrodynamic application, Proc. Amer. Math. Soc. 3 (1952), 111-113.
-
(1952)
Proc. Amer. Math. Soc.
, vol.3
, pp. 111-113
-
-
Lewy, H.1
-
21
-
-
0001026354
-
Some new relations between Stokes's coefficients in the theory of gravity waves
-
M. S. LONGUET-HIGGINS, Some new relations between Stokes's coefficients in the theory of gravity waves, J. Inst. Maths. Applics. 22 (1978), 261-273.
-
(1978)
J. Inst. Maths. Applics.
, vol.22
, pp. 261-273
-
-
Longuet-Higgins, M.S.1
-
22
-
-
0021865854
-
Bifurcation in gravity waves
-
M. S. LONGUET-HIGGINS, Bifurcation in gravity waves, J. Fluid Mech. 151 (1985), 457-475.
-
(1985)
J. Fluid Mech.
, vol.151
, pp. 457-475
-
-
Longuet-Higgins, M.S.1
-
24
-
-
0003540692
-
Hamiltonian and Lagrangian Flows on Center Manifolds
-
Springer-Verlag, Berlin
-
A. MIELKE, Hamiltonian and Lagrangian Flows on Center Manifolds, Lecture Notes in Mathematics, no. 1489, Springer-Verlag, Berlin, 1991.
-
(1991)
Lecture Notes in Mathematics, No. 1489
-
-
Mielke, A.1
-
26
-
-
0002383559
-
Justification of the Stokes hypothesis in the theory of surface waves
-
P. I. PLOTNIKOV, Justification of the Stokes hypothesis in the theory of surface waves, Soviet Phys. Dokl. 28 (1983), 232-333.
-
(1983)
Soviet Phys. Dokl.
, vol.28
, pp. 232-333
-
-
Plotnikov, P.I.1
-
27
-
-
0001510878
-
Nonuniqueness of solutions of the problem of solitary waves and bifurcation of critical points of smooth functional
-
P. I. PLOTNIKOV, Nonuniqueness of solutions of the problem of solitary waves and bifurcation of critical points of smooth functional, Math. USSR Izvestiya 38 (1992), 333-357.
-
(1992)
Math. USSR Izvestiya
, vol.38
, pp. 333-357
-
-
Plotnikov, P.I.1
-
30
-
-
0014922691
-
Variational principle for waves of infinite depth
-
E. R. SPIELVOGEL, Variational principle for waves of infinite depth, Arch. Rational Mech. Anal. 39 (1970), 189-205.
-
(1970)
Arch. Rational Mech. Anal.
, vol.39
, pp. 189-205
-
-
Spielvogel, E.R.1
-
31
-
-
0000339396
-
Considerations relative to the greatest height of oscillatory irrotational waves which can be propagated without change of form
-
Cambridge
-
G. G. STOKES, Considerations relative to the greatest height of oscillatory irrotational waves which can be propagated without change of form, in Mathematical and Physical Papers, vol. I, Cambridge, 1880, pp. 225-228.
-
(1880)
Mathematical and Physical Papers
, vol.1
, pp. 225-228
-
-
Stokes, G.G.1
-
32
-
-
0011519891
-
An introduction to bifurcation theory based on differential calculus
-
(R. J. KNOPS, ed.), Research Notes in Mathematics, no. 39, Pitman
-
C. A. STUART, An introduction to bifurcation theory based on differential calculus, In Nonlinear Mathematics and Mechanics: Heriot-Watt Symposium, Vol. IV (R. J. KNOPS, ed.), Research Notes in Mathematics, no. 39, Pitman, 1979, pp. 76-132.
-
(1979)
Nonlinear Mathematics and Mechanics: Heriot-watt Symposium
, vol.4
, pp. 76-132
-
-
Stuart, C.A.1
-
34
-
-
0018030940
-
On the existence of a wave of greatest height and Stokes's conjecture
-
J. F. TOLAND, On the existence of a wave of greatest height and Stokes's conjecture, Proc. Roy. Soc. Lond. A. 363 (1978), 469-485.
-
(1978)
Proc. Roy. Soc. Lond. A.
, vol.363
, pp. 469-485
-
-
Toland, J.F.1
-
36
-
-
0022421262
-
The bifurcation and secondary bifurcation of capillary gravity waves
-
J. F. TOLAND & M. C. W. JONES, The bifurcation and secondary bifurcation of capillary gravity waves, Proc. R. Soc. Lond. A 399 (1985), 391-417.
-
(1985)
Proc. R. Soc. Lond. A
, vol.399
, pp. 391-417
-
-
Toland, J.F.1
Jones, M.C.W.2
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