-
1
-
-
67650932342
-
Third-order asymptotic solution of nonlinear standing water waves in Lagrangian coordinates
-
2009ChPhB.18.861C 10.1088/1674-1056/18/3/004
-
Y.Y. Chen H.C. Hsu 2009 Third-order asymptotic solution of nonlinear standing water waves in Lagrangian coordinates Chin. Phys. B. 18 861 2009ChPhB..18..861C 10.1088/1674-1056/18/3/004
-
(2009)
Chin. Phys. B.
, vol.18
, pp. 861
-
-
Chen, Y.Y.1
Hsu, H.C.2
-
2
-
-
79958803907
-
Lagrangian experiment and solution for irrotational finite-amplitude progressive gravity waves at uniform depth
-
in press
-
Chen, Y.Y., Hsu, H.C., Chen, G.Y.: Lagrangian experiment and solution for irrotational finite-amplitude progressive gravity waves at uniform depth. Fluid Dyn. Res. 42, 045511 (2010, in press)
-
(2010)
Fluid Dyn. Res.
, vol.42
, pp. 045511
-
-
Chen, Y.Y.1
Hsu, H.C.2
Chen, G.Y.3
-
3
-
-
33750526877
-
The trajectories of particles in Stokes waves
-
DOI 10.1007/s00222-006-0002-5
-
A. Constantin 2006 The trajectories of particles in Stokes waves Invent. Math. 166 523 535 2257390 2006InMat.166..523C 1108.76013 10.1007/s00222-006- 0002-5 (Pubitemid 44663364)
-
(2006)
Inventiones Mathematicae
, vol.166
, Issue.3
, pp. 523-535
-
-
Constantin, A.1
-
4
-
-
43649084288
-
Particle trajectories in linear deep-water waves
-
DOI 10.1016/j.nonrwa.2007.03.003, PII S1468121807000569
-
A. Constantin M. Ehrnström G. Villari 2008 Particle trajectories in linear deep-water waves Nonlinear Anal. 9 1336 1344 1154.35429 10.1016/j.nonrwa.2007.03.003 (Pubitemid 351685783)
-
(2008)
Nonlinear Analysis: Real World Applications
, vol.9
, Issue.4
, pp. 1336-1344
-
-
Constantin, A.1
Ehrnstrom, M.2
Villari, G.3
-
5
-
-
17044390729
-
Symmetry of steady deep-water waves with vorticity
-
DOI 10.1017/S0956792504005777
-
A. Constantin J. Escher 2004 Symmetry of steady deep-water waves with vorticity Eur. J. Appl. Math. 15 755 768 2144685 1125.76007 10.1017/ S0956792504005777 (Pubitemid 40816315)
-
(2004)
European Journal of Applied Mathematics
, vol.15
, Issue.6
, pp. 755-768
-
-
Constantin, A.1
Escher, J.2
-
6
-
-
1242299759
-
Symmetry of steady periodic surface water waves with vorticity
-
DOI 10.1017/S0022112003006773
-
A. Constantin J. Escher 2004 Symmetry of steady periodic surface water waves with vorticity J. Fluid Mech. 498 171 181 2256915 2004JFM...498..171C 1050.76007 10.1017/S0022112003006773 (Pubitemid 38237395)
-
(2004)
Journal of Fluid Mechanics
, vol.498
, pp. 171-181
-
-
Constantin, A.1
Escher, J.2
-
7
-
-
35248855142
-
Particle trajectories in solitary water waves
-
2318158 1126.76012 10.1090/S0273-0979-07-01159-7
-
A. Constantin J. Escher 2007 Particle trajectories in solitary water waves Bull. Am. Math. Soc. 44 423 431 2318158 1126.76012 10.1090/S0273-0979-07- 01159-7
-
(2007)
Bull. Am. Math. Soc.
, vol.44
, pp. 423-431
-
-
Constantin, A.1
Escher, J.2
-
8
-
-
78649991733
-
Analyticity of periodic traveling free surface water waves with vorticity
-
10.4007/annals.2010.172.1
-
A. Constantin J. Escher 2010 Analyticity of periodic traveling free surface water waves with vorticity Ann. Math. 172 1 6 10.4007/annals.2010.172.1
-
(2010)
Ann. Math.
, vol.172
, pp. 1-6
-
-
Constantin, A.1
Escher, J.2
-
9
-
-
32044450307
-
Variational formulations for steady water waves with vorticity
-
DOI 10.1017/S0022112005007469, PII S0022112005007469
-
A. Constantin D. Sattinger W. Strauss 2006 Variational formulations for steady water waves with vorticity J. Fluid Mech. 548 151 163 2264220 2006JFM...548..151C 10.1017/S0022112005007469 (Pubitemid 43193136)
-
(2006)
Journal of Fluid Mechanics
, vol.548
, pp. 151-163
-
-
Constantin, A.1
Sattinger, D.2
Strauss, W.3
-
10
-
-
0038391364
-
Exact periodic traveling water waves with vorticity
-
DOI 10.1016/S1631-073X(02)02565-7, PII S1631073X02025657
-
A. Constantin W. Strauss 2002 Exact periodic travelling water waves with vorticity C.R. Math. Acad. Sci. Paris 335 797 800 1947702 1020.35012 (Pubitemid 36645887)
-
(2002)
Comptes Rendus Mathematique
, vol.335
, Issue.10
, pp. 797-800
-
-
Constantin, A.1
Strauss, W.2
-
11
-
-
1242319077
-
Exact steady periodic water waves with vorticity
-
2027299 1038.76011 10.1002/cpa.3046
-
A. Constantin W. Strauss 2004 Exact steady periodic water waves with vorticity Commun. Pure Appl. Math. 57 481 527 2027299 1038.76011 10.1002/cpa.3046
-
(2004)
Commun. Pure Appl. Math.
, vol.57
, pp. 481-527
-
-
Constantin, A.1
Strauss, W.2
-
12
-
-
77952815848
-
Pressure beneath a Stokes wave
-
2604871 05683003
-
A. Constantin W. Strauss 2010 Pressure beneath a Stokes wave Commun. Pure Appl. Math. 63 533 557 2604871 05683003
-
(2010)
Commun. Pure Appl. Math.
, vol.63
, pp. 533-557
-
-
Constantin, A.1
Strauss, W.2
-
13
-
-
40249098867
-
Particle trajectories in linear water waves
-
DOI 10.1007/s00021-005-0214-2
-
A. Constantin G. Villari 2008 Particle trajectories in linear water waves J. Math. Fluid Mech. 10 1 18 2383410 2008JMFM...10....1C 1162.76316 10.1007/s00021-005-0214-2 (Pubitemid 351334745)
-
(2008)
Journal of Mathematical Fluid Mechanics
, vol.10
, Issue.1
, pp. 1-18
-
-
Constantin, A.1
Villari, G.2
-
14
-
-
84958429517
-
An exact solution for progressive capillary waves of arbitrary amplitude
-
91075 1957JFM.2.532C 0079.19304 10.1017/S0022112057000348
-
G.D. Crapper 1957 An exact solution for progressive capillary waves of arbitrary amplitude J. Fluid Mech. 2 532 540 91075 1957JFM.....2..532C 0079.19304 10.1017/S0022112057000348
-
(1957)
J. Fluid Mech.
, vol.2
, pp. 532-540
-
-
Crapper, G.D.1
-
15
-
-
33747159045
-
Uniqueness for steady periodic water waves with vorticity
-
DOI 10.1155/IMRN.2005.3721, PII S1073792805154038
-
M. Ehrnström 2005 Uniqueness for steady periodic water waves with vorticity Int. Math. Res. Not. 2005 3721 3726 1121.35113 10.1155/IMRN.2005.3721 (Pubitemid 44227946)
-
(2005)
International Mathematics Research Notices
, Issue.60
, pp. 3721-3726
-
-
Ehrnstrom, M.1
-
16
-
-
40849123737
-
Linear water waves with vorticity: Rotational features and particle paths
-
1148.35068 10.1016/j.jde.2008.01.012
-
M. Ehrnström G. Villari 2008 Linear water waves with vorticity: rotational features and particle paths J. Differ. Equ. 244 1888 1909 1148.35068 10.1016/j.jde.2008.01.012
-
(2008)
J. Differ. Equ.
, vol.244
, pp. 1888-1909
-
-
Ehrnström, M.1
Villari, G.2
-
17
-
-
33846676190
-
The trajectories of particles in deep-water Stokes waves
-
2272104
-
D. Henry 2006 The trajectories of particles in deep-water Stokes waves Int. Math. Res. Not. 2006 1 13 2272104
-
(2006)
Int. Math. Res. Not.
, vol.2006
, pp. 1-13
-
-
Henry, D.1
-
18
-
-
33947106159
-
Particle trajectories in linear periodic capillary and capillary-gravity deep-water waves
-
2287829 2007JNMP.14.1H 05519768 10.2991/jnmp.2007.14.1.1
-
D. Henry 2007 Particle trajectories in linear periodic capillary and capillary-gravity deep-water waves J. Nonlinear Math. Phys. 14 1 7 2287829 2007JNMP...14....1H 05519768 10.2991/jnmp.2007.14.1.1
-
(2007)
J. Nonlinear Math. Phys.
, vol.14
, pp. 1-7
-
-
Henry, D.1
-
19
-
-
34548285474
-
Particle trajectories in linear periodic capillary and capillary-gravity water waves
-
2329145 2007RSPTA.365.2241H 1152.76333 10.1098/rsta.2007.2005
-
D. Henry 2007 Particle trajectories in linear periodic capillary and capillary-gravity water waves Phil. Trans. R. Soc. A 365 2241 2251 2329145 2007RSPTA.365.2241H 1152.76333 10.1098/rsta.2007.2005
-
(2007)
Phil. Trans. R. Soc. A
, vol.365
, pp. 2241-2251
-
-
Henry, D.1
-
20
-
-
70249105791
-
On the deep-water Stokes wave flow
-
2008LMaPh.83.1H
-
D. Henry 2008 On the deep-water Stokes wave flow Int. Math. Res. Not. 2008 1 7 2008LMaPh..83....1H
-
(2008)
Int. Math. Res. Not.
, vol.2008
, pp. 1-7
-
-
Henry, D.1
-
21
-
-
79958779817
-
Pressure in a deep-water Stokes wave
-
doi: 10.1007/s00021-009-0015-0
-
Henry, D.: Pressure in a deep-water Stokes wave. J. Math. Fluid Mech. doi: 10.1007/s00021-009-0015-0
-
J. Math. Fluid Mech.
-
-
Henry, D.1
-
22
-
-
79251520650
-
Analyticity of streamlines for periodic travelling free surface capillary-gravity water waves with vorticity
-
to appear
-
Henry, D.: Analyticity of streamlines for periodic travelling free surface capillary-gravity water waves with vorticity. SIAM J. Math. Anal. (2010, to appear)
-
(2010)
SIAM J. Math. Anal.
-
-
Henry, D.1
-
23
-
-
0021442519
-
Particle trajectories in nonlinear capillary waves
-
S.J. Hogan 1984 Particle trajectories in nonlinear capillary waves J. Fluid Mech. 143 243 252 1984JFM...143..243H 0559.76018 10.1017/S0022112084001336 (Pubitemid 15437088)
-
(1984)
Journal of Fluid Mechanics
, vol.143
, pp. 243-252
-
-
Hogan, S.J.1
-
24
-
-
0022015388
-
Particle trajectories in nonlinear gravity-capillary waves
-
S.J. Hogan 1985 Particle trajectories in nonlinear gravity-capillary waves J. Fluid Mech. 151 105 119 1985JFM...151..105H 0577.76021 10.1017/S002211208500088X (Pubitemid 15580076)
-
(1985)
Journal of Fluid Mechanics
, vol.151
, pp. 105-119
-
-
Hogan, S.J.1
-
25
-
-
77950916747
-
Perturbation analysis of short-crested waves in Lagrangian coordinates
-
2646566 05716723 10.1016/j.nonrwa.2009.03.014
-
H.C. Hsu Y.Y. Chen C.F. Wang 2010 Perturbation analysis of short-crested waves in Lagrangian coordinates Nonlinear Anal. Real World Appl. 11 3 1522 1536 2646566 05716723 10.1016/j.nonrwa.2009.03.014
-
(2010)
Nonlinear Anal. Real World Appl.
, vol.11
, Issue.3
, pp. 1522-1536
-
-
Hsu, H.C.1
Chen, Y.Y.2
Wang, C.F.3
-
26
-
-
51149103098
-
Particle trajectories in linearized irrotational shallow water flows
-
2434722 2008JNMP.15S.13I 10.2991/jnmp.2008.15.s2.2
-
D. Ionescu-Kruse 2008 Particle trajectories in linearized irrotational shallow water flows J. Nonlinear Math. Phys. 15 13 27 2434722 2008JNMP...15S..13I 10.2991/jnmp.2008.15.s2.2
-
(2008)
J. Nonlinear Math. Phys.
, vol.15
, pp. 13-27
-
-
Ionescu-Kruse, D.1
-
27
-
-
67349234562
-
Particle trajectories beneath small amplitude shallow water waves in constant vorticity flows
-
2536287 1166.76010 10.1016/j.na.2009.02.050
-
D. Ionescu-Kruse 2009 Particle trajectories beneath small amplitude shallow water waves in constant vorticity flows Nonlinear Anal. 71 3779 3793 2536287 1166.76010 10.1016/j.na.2009.02.050
-
(2009)
Nonlinear Anal.
, vol.71
, pp. 3779-3793
-
-
Ionescu-Kruse, D.1
-
28
-
-
0016890105
-
Exact large amplitude capillary waves on sheets of fluids
-
475234 1976JFM.77.229K 0359.76017 10.1017/S0022112076002085
-
W. Kinnersley 1976 Exact large amplitude capillary waves on sheets of fluids J. Fluid Mech. 77 229 241 475234 1976JFM....77..229K 0359.76017 10.1017/S0022112076002085
-
(1976)
J. Fluid Mech.
, vol.77
, pp. 229-241
-
-
Kinnersley, W.1
-
29
-
-
0004168443
-
-
6th edn. Cambridge University Press, Cambridge
-
Lamb, H.: Hydrodynamics, 6th edn. Cambridge University Press, Cambridge (1932)
-
(1932)
Hydrodynamics
-
-
Lamb, H.1
-
30
-
-
0000312019
-
Mass transport in water waves
-
58370 1953RSPTA.245.535L 10.1098/rsta.1953.0006
-
M.S. Longuet-Higgins 1953 Mass transport in water waves Phil. Trans. R. Soc. A. 245 533 581 58370 1953RSPTA.245..535L 10.1098/rsta.1953.0006
-
(1953)
Phil. Trans. R. Soc. A.
, vol.245
, pp. 533-581
-
-
Longuet-Higgins, M.S.1
-
31
-
-
0007411833
-
The trajectories of particles in steep, symmetric gravity waves
-
554016 1979JFM.94.497L 0417.76019 10.1017/S0022112079001154
-
M.S. Longuet-Higgins 1979 The trajectories of particles in steep, symmetric gravity waves J. Fluid Mech. 94 497 517 554016 1979JFM....94..497L 0417.76019 10.1017/S0022112079001154
-
(1979)
J. Fluid Mech.
, vol.94
, pp. 497-517
-
-
Longuet-Higgins, M.S.1
-
32
-
-
0022901854
-
Eulerian and Lagrangian aspects of surface waves
-
M.S. Longuet-Higgins 1986 Eulerian and Lagrangian aspects of surface waves J. Fluid Mech. 173 683 707 844682 1986JFM...173..683L 10.1017/ S0022112086001325 (Pubitemid 17535663)
-
(1986)
Journal of Fluid Mechanics
, vol.173
, pp. 683-707
-
-
Longuet-Higgins, M.S.1
-
34
-
-
0002205157
-
Mouvements ondulatoires de la mer en profondeur constante ou décroissante
-
131-164, 270-292, 369-406
-
Miche, A.: Mouvements ondulatoires de la mer en profondeur constante ou décroissante. Annales des ponts et chaussees. 25-78, 131-164, 270-292, 369-406 (1944)
-
(1944)
Annales des Ponts et Chausses
, pp. 25-78
-
-
Miche, A.1
-
35
-
-
0014937752
-
Finite amplitude surface waves in a liquid layer
-
1970JFM.40.671N 0202.27202 10.1017/S002211207000037X
-
A.H. Nayfeh 1970 Finite amplitude surface waves in a liquid layer J. Fluid Mech. 40 671 684 1970JFM....40..671N 0202.27202 10.1017/S002211207000037X
-
(1970)
J. Fluid Mech.
, vol.40
, pp. 671-684
-
-
Nayfeh, A.H.1
-
36
-
-
0029416129
-
Drift velocity of spatially decaying waves in a two-layer viscous system
-
I. Piedra-Cueva 1995 Drift velocity of spatially decaying waves in a two-layer viscous system J. Fluid Mech. 229 217 239 1351383 1995JFM...299..217P 10.1017/S002211209500348X (Pubitemid 26463322)
-
(1995)
Journal of Fluid Mechanics
, vol.299
, pp. 217-239
-
-
Piedra-Cueva, I.1
-
37
-
-
0001133456
-
Perturbation analysis of the Navier-Stokes equations in Lagrangian form with selected linear solution
-
147076 1962JGR.67.3151P 0152.45405 10.1029/JZ067i008p03151
-
W.J. Pierson 1962 Perturbation analysis of the Navier-Stokes equations in Lagrangian form with selected linear solution J. Geophys. Res. 67 8 3151 147076 1962JGR....67.3151P 0152.45405 10.1029/JZ067i008p03151
-
(1962)
J. Geophys. Res.
, vol.67
, Issue.8
, pp. 3151
-
-
Pierson, W.J.1
-
38
-
-
33947375479
-
Steady periodic capillary-gravity waves with vorticity
-
DOI 10.1137/050630465
-
E. Wahlen 2006 Steady periodic capillary-gravity waves with vorticity SIAM J. Math. Anal. 38 921 943 2262949 1111.76007 10.1137/050630465 (Pubitemid 46796979)
-
(2006)
SIAM Journal on Mathematical Analysis
, vol.38
, Issue.3
, pp. 921-943
-
-
Wahlen, E.1
-
39
-
-
33947164511
-
Steady periodic capillary waves with vorticity
-
2292728 1171.35312 10.1007/s11512-006-0024-7
-
E. Wahlen 2006 Steady periodic capillary waves with vorticity Ark. Mat. 44 367 387 2292728 1171.35312 10.1007/s11512-006-0024-7
-
(2006)
Ark. Mat.
, vol.44
, pp. 367-387
-
-
Wahlen, E.1
-
40
-
-
0000334516
-
On ripples
-
J.R. Wilton 1915 On ripples Phil. Mag. 29 688 700
-
(1915)
Phil. Mag.
, vol.29
, pp. 688-700
-
-
Wilton, J.R.1
-
41
-
-
0035949730
-
Matrix approach to Lagrangian fluid dynamics
-
DOI 10.1017/S0022112001005195
-
E.I. Yakubovich D.A. Zenkovich 2001 Matrix approach to Lagrangian fluid dynamics J. Fluid Mech. 443 167 196 1854757 2001JFM...443..167Y 0995.76004 10.1017/S0022112001005195 (Pubitemid 32889902)
-
(2001)
Journal of Fluid Mechanics
, vol.443
, pp. 167-196
-
-
Yakubovich, E.I.1
Zenkovich, D.A.2
|