-
4
-
-
0000542179
-
On periodic water waves and their convergence to solitary waves in the long-wave limit
-
C. J. Amick and J. F. Toland, On periodic water waves and their convergence to solitary waves in the long-wave limit, Phil. Trans. Roy. Soc. Lond. A 303 (1981), 633-669.
-
(1981)
Phil. Trans. Roy. Soc. Lond. A
, vol.303
, pp. 633-669
-
-
Amick, C.J.1
Toland, J.F.2
-
5
-
-
54249116259
-
-
Handbuch der Physik, Vol. VIa/2, Springer, Berlin
-
S. S. Antman, The Theory of Rods, Handbuch der Physik, Vol. VIa/2, Springer, Berlin, 1972.
-
(1972)
The Theory of Rods
-
-
Antman, S.S.1
-
7
-
-
0004221604
-
-
Springer- Verlag, New York
-
A. Axler, P. Bourdon, and W. Ramey, Harmonic Function Theory, Springer- Verlag, New York, 1992.
-
(1992)
Harmonic Function Theory
-
-
Axler, A.1
Bourdon, P.2
Ramey, W.3
-
8
-
-
0000507802
-
Some remarks on the theory of surface waves of finite amplitude
-
K. I. Babenko, Some remarks on the theory of surface waves of finite amplitude, Soviet Math. Doklady 35 (1987), 599-603.
-
(1987)
Soviet Math. Doklady
, vol.35
, pp. 599-603
-
-
Babenko, K.I.1
-
11
-
-
0032090787
-
Sur les ondes de Stokes et une conjecture de Levi-Civita
-
B. Buffoni, E. N. Dancer, and J. F. Toland, Sur les ondes de Stokes et une conjecture de Levi-Civita, Comptes Rendus Acad. Sci. Paris, Série I 326 (1998), 1265-1268.
-
(1998)
Comptes Rendus Acad. Sci. Paris, Série I
, vol.326
, pp. 1265-1268
-
-
Buffoni, B.1
Dancer, E.N.2
Toland, J.F.3
-
12
-
-
0034405836
-
The regularity and local bifurcation of steady periodic water waves
-
B. Buffoni, E. N. Dancer, and J. F. Toland, The regularity and local bifurcation of steady periodic water waves, Arch. Rational Mech. Anal. 152 (2000), 207-240.
-
(2000)
Arch. Rational Mech. Anal.
, vol.152
, pp. 207-240
-
-
Buffoni, B.1
Dancer, E.N.2
Toland, J.F.3
-
13
-
-
0034384354
-
The sub-harmonic bifurcation of Stokes waves
-
B. Buffoni, E. N. Dancer, and J. F. Toland, The sub-harmonic bifurcation of Stokes waves, Arch. Rational Mech. Anal. 152 (2000), 241-271.
-
(2000)
Arch. Rational Mech. Anal.
, vol.152
, pp. 241-271
-
-
Buffoni, B.1
Dancer, E.N.2
Toland, J.F.3
-
17
-
-
85016901772
-
-
Presses Polytechniques et Universitaires Romandes, Lausanne
-
S. D. Chatterji, Cours d'Analyse: Volume 2, Presses Polytechniques et Universitaires Romandes, Lausanne, 1988.
-
(1988)
Cours d'Analyse
, vol.2
-
-
Chatterji, S.D.1
-
18
-
-
0004143738
-
-
Kluwers Academic Publishing, Dordrecht
-
E. M. Chirka, Complex Analytic Sets, Kluwers Academic Publishing, Dordrecht, 1989.
-
(1989)
Complex Analytic Sets
-
-
Chirka, E.M.1
-
20
-
-
0011470758
-
A bifurcation theorem for critical points of variational problems
-
S.-N. Chow and R. Lauterbach, A bifurcation theorem for critical points of variational problems, Nonlinear Analysis TMA 12 (1988), 51-61.
-
(1988)
Nonlinear Analysis TMA
, vol.12
, pp. 51-61
-
-
Chow, S.-N.1
Lauterbach, R.2
-
21
-
-
0012018699
-
Nonlinear Sturm-Liouville eigenvalue problems and topological degree
-
M. G. Crandall and P. H. Rabinowitz, Nonlinear Sturm-Liouville eigenvalue problems and topological degree, Jour. Math. Mechanics 90 (1970), 1083- 1102.
-
(1970)
Jour. Math. Mechanics
, vol.90
, pp. 1083-1102
-
-
Crandall, M.G.1
Rabinowitz, P.H.2
-
23
-
-
0015746829
-
Bifurcation, perturbation of simple eigenvalues and linearised stability
-
M. G. Crandall and P. H. Rabinowitz, Bifurcation, perturbation of simple eigenvalues and linearised 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
-
24
-
-
84959788910
-
Bifurcation theory for analytic operators
-
E. N. Dancer, Bifurcation theory for analytic operators, Proc. Lond. Math. Soc. XXVI (1973), 359-384.
-
(1973)
Proc. Lond. Math. Soc.
, vol.26
, pp. 359-384
-
-
Dancer, E.N.1
-
25
-
-
0015735751
-
Global solution branches for positive mappings
-
E. N. Dancer, Global solution branches for positive mappings, Arch. Rational Mech. Anal. 52 (1973), 181-192.
-
(1973)
Arch. Rational Mech. Anal.
, vol.52
, pp. 181-192
-
-
Dancer, E.N.1
-
26
-
-
84959788910
-
Global structure of the solution set of non-linear real-analytic eigenvalue problems
-
E. N. Dancer, Global structure of the solution set of non-linear real-analytic eigenvalue problems, Proc. Lond. Math. Soc. XXVI (1973), 359-384.
-
(1973)
Proc. Lond. Math. Soc.
, vol.26
, pp. 359-384
-
-
Dancer, E.N.1
-
30
-
-
84971108529
-
Formulae for higher derivatives of composite functions
-
L. E. Fraenkel, Formulae for higher derivatives of composite functions, Math. Proc. Camb. Phil. Soc. 83 (1978), 159-165.
-
(1978)
Math. Proc. Camb. Phil. Soc.
, vol.83
, pp. 159-165
-
-
Fraenkel, L.E.1
-
36
-
-
84971195530
-
On the existence theory for irrotational water waves
-
G. Keady and J. Norbury, On the existence theory for irrotational water waves, Math. Proc. Camb. Phil. Soc. 83 (1978), 137-157.
-
(1978)
Math. Proc. Camb. Phil. Soc.
, vol.83
, pp. 137-157
-
-
Keady, G.1
Norbury, J.2
-
37
-
-
0001891003
-
A bifurcation theorem for potential operators
-
H. Kielhöfer, A bifurcation theorem for potential operators, J. Functional Analysis 77 (1988), 1-8.
-
(1988)
J. Functional Analysis
, vol.77
, pp. 1-8
-
-
Kielhöfer, H.1
-
40
-
-
0009932194
-
On the theory of steady waves of finite amplitude
-
Yu. P. Krasov'skii, On the theory of steady waves of finite amplitude, U.S.S.R. Comput. Math. math. Phys. 1 (1961), 996-1018.
-
(1961)
U.S.S.R. Comput. Math. math. Phys.
, vol.1
, pp. 996-1018
-
-
Krasov'skii, Y.P.1
-
42
-
-
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
-
44
-
-
0040250355
-
The Stokes and Krasovskii conjectures for the wave of greatest height
-
In pre-print-form: Univ. ofWisconsin Mathematics Research Center Report Number 2041, 1979 (sic))
-
J. B. McLeod, The Stokes and Krasovskii conjectures for the wave of greatest height, Studies in Applied Math. 98 (1997), 311-334, (In pre-print-form: Univ. ofWisconsin Mathematics Research Center Report Number 2041, 1979 (sic)).
-
(1997)
Studies in Applied Math.
, vol.98
, pp. 311-334
-
-
McLeod, J.B.1
-
46
-
-
0003234244
-
Introduction to the Theory of Analytic Spaces
-
Springer-Verlag, Heidelberg
-
R. Narasimhan, Introduction to the Theory of Analytic Spaces, Lecture Notes in Mathematics, no. 25, Springer-Verlag, Heidelberg, 1966.
-
(1966)
Lecture Notes in Mathematics
, Issue.25
-
-
Narasimhan, R.1
-
48
-
-
0001510878
-
Nonuniqueness of solutions of the problem of solitary waves and bifurcation of critical points of smooth functionals
-
P. I. Plotnikov, Nonuniqueness of solutions of the problem of solitary waves and bifurcation of critical points of smooth functionals, Math. USSR Izvestiya 38 (2) (1992), 333-357.
-
(1992)
Math. USSR Izvestiya
, vol.38
, Issue.2
, pp. 333-357
-
-
Plotnikov, P.I.1
-
50
-
-
36448974335
-
Some global results for nonlinear eigenvalue problems
-
P. H. Rabinowitz, Some global results for nonlinear eigenvalue problems, Jour. Funct. Anal. 7 (1971), 487-513.
-
(1971)
Jour. Funct. Anal.
, vol.7
, pp. 487-513
-
-
Rabinowitz, P.H.1
-
53
-
-
85016880798
-
A Riemann-Hilbert problem and the Bernoulli boundary condition in the variational theory of Stokes waves
-
to appear in Annales Inst. H. Poincaré
-
E. Shargorodsky and J. F. Toland, A Riemann-Hilbert problem and the Bernoulli boundary condition in the variational theory of Stokes waves, to appear in Annales Inst. H. Poincaré.
-
-
-
Shargorodsky, E.1
Toland, J.F.2
-
54
-
-
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, 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
-
55
-
-
85016919043
-
Théorie de la Bifurcation, cours polycopié
-
Lausanne (CH)
-
C. A. Stuart, Théorie de la Bifurcation, cours polycopié, EPFL, Lausanne (CH), 1983-1984.
-
(1983)
EPFL
-
-
Stuart, C.A.1
-
56
-
-
0000025473
-
On the theory of oscillatory waves
-
G. G. Stokes, On the theory of oscillatory waves, Trans. Camb. Phil. Soc. 8 (1847), 441-455.
-
(1847)
Trans. Camb. Phil. Soc.
, vol.8
, pp. 441-455
-
-
Stokes, G.G.1
-
57
-
-
0000339396
-
-
Mathematical and Physical Papers, Cambridge
-
G. G. Stokes, Considerations relative to the greatest height of oscillatory irrotational waves which can be propagated without change of form, Mathematical and Physical Papers, vol. I, Cambridge, 1880, pp. 225-228.
-
(1880)
Considerations relative to the greatest height of oscillatory irrotational waves which can be propagated without change of form
, vol.1
, pp. 225-228
-
-
Stokes, G.G.1
-
62
-
-
0034626637
-
Stokes waves in Hardy spaces and as distributions
-
J. F. Toland, Stokes waves in Hardy spaces and as distributions, J. Mat. Pure et Appl. 79 (9) (2000), 901-917.
-
(2000)
J. Mat. Pure et Appl.
, vol.79
, Issue.9
, pp. 901-917
-
-
Toland, J.F.1
-
63
-
-
0036557490
-
A pseudo-differential equation for Stokes waves
-
J. F. Toland, A pseudo-differential equation for Stokes waves, Arch. Rational Mech. Anal. 162 (2002), 179-189.
-
(2002)
Arch. Rational Mech. Anal.
, vol.162
, pp. 179-189
-
-
Toland, J.F.1
-
64
-
-
0016428920
-
Transversality and cone maps
-
R. E. L. Turner, Transversality and cone maps, Arch. Rational Mech. Anal. 58 (1975), 151-179.
-
(1975)
Arch. Rational Mech. Anal.
, vol.58
, pp. 151-179
-
-
Turner, R.E.L.1
-
69
-
-
85016842096
-
-
corrected reprint (1968) of 2nd. ed., Cambridge University Press, Cambridge
-
A. Zygmund, Trigonometric Series I & II, corrected reprint (1968) of 2nd. ed., Cambridge University Press, Cambridge, 1959.
-
(1959)
Trigonometric Series I & II
-
-
Zygmund, A.1
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