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Volumn 365, Issue 1858, 2007, Pages 2241-2251

Particle trajectories in linear periodic capillary and capillary-gravity water waves

Author keywords

Linear water waves; Particle trajectory; Surface tension

Indexed keywords


EID: 34548285474     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2007.2005     Document Type: Article
Times cited : (29)

References (23)
  • 1
    • 0000166670 scopus 로고
    • On the Stokes conjecture for the wave of extreme form
    • doi:10.1007/BF02392728
    • Amick, C. J., Fraenkel, L. E. & Toland, J. F. 1982 On the Stokes conjecture for the wave of extreme form. Acta Mathematica 148, 193-214. (doi:10.1007/BF02392728)
    • (1982) Acta Mathematica , vol.148 , pp. 193-214
    • Amick, C.J.1    Fraenkel, L.E.2    Toland, J.F.3
  • 2
    • 0039896325 scopus 로고    scopus 로고
    • On the deep water wave motion
    • doi:10.1088/ 0305-4470/34/7/313
    • Constantin, A. 2001a On the deep water wave motion. J. Phys. A 34, 1405-1417. (doi:10.1088/ 0305-4470/34/7/313)
    • (2001) J. Phys. A , vol.34 , pp. 1405-1417
    • Constantin, A.1
  • 3
    • 0035900644 scopus 로고    scopus 로고
    • 20016 Edge waves along a sloping beach
    • doi:10.1088/ 0305-4470/34/45/311
    • Constantin, A. 20016 Edge waves along a sloping beach. J. Phys. A 34, 9723-9731. (doi:10.1088/ 0305-4470/34/45/311)
    • J. Phys. A , vol.34 , pp. 9723-9731
    • Constantin, A.1
  • 4
    • 33750526877 scopus 로고    scopus 로고
    • The trajectories of particles in Stokes waves
    • doi:10.1007/s00222-006-0002-5
    • Constantin, A. 2006 The trajectories of particles in Stokes waves. Invent. Math. 166, 523-535. (doi:10.1007/s00222-006-0002-5)
    • (2006) Invent. Math , vol.166 , pp. 523-535
    • Constantin, A.1
  • 5
    • 1242299759 scopus 로고    scopus 로고
    • Symmetry of steady periodic surface water waves with vorticity
    • doi:10.1017/S0022112003006773
    • Constantin, A. & Escher, J. 2004a Symmetry of steady periodic surface water waves with vorticity. J. Fluid Mech. 498, 171-181. (doi:10.1017/S0022112003006773)
    • (2004) J. Fluid Mech , vol.498 , pp. 171-181
    • Constantin, A.1    Escher, J.2
  • 6
    • 17044390729 scopus 로고    scopus 로고
    • Symmetry of steady deep-water waves with vorticity
    • doi:10.1017/S0956792504005777
    • Constantin, A. & Escher, J. 2004b Symmetry of steady deep-water waves with vorticity. Eur. J. Appl. Math. 15, 755-768. (doi:10.1017/S0956792504005777)
    • (2004) Eur. J. Appl. Math , vol.15 , pp. 755-768
    • Constantin, A.1    Escher, J.2
  • 7
    • 0038391364 scopus 로고    scopus 로고
    • Exact periodic travelling water waves with vorticity
    • doi:10.1016/S1631-073X(02)02565-7
    • Constantin, A. & Strauss, W. 2002 Exact periodic travelling water waves with vorticity. C.R. Math. Acad. Sci. Paris 335, 797-800. (doi:10.1016/S1631-073X(02)02565-7)
    • (2002) C.R. Math. Acad. Sci. Paris , vol.335 , pp. 797-800
    • Constantin, A.1    Strauss, W.2
  • 8
    • 1242319077 scopus 로고    scopus 로고
    • Exact steady periodic water waves with vorticity
    • doi:10.1002/cpa.3046
    • Constantin, A. & Strauss, W. 2004 Exact steady periodic water waves with vorticity. Commun. Pure Appl. Math. 57, 481-527. (doi:10.1002/cpa.3046)
    • (2004) Commun. Pure Appl. Math , vol.57 , pp. 481-527
    • Constantin, A.1    Strauss, W.2
  • 9
    • 40249098867 scopus 로고    scopus 로고
    • Particle trajectories in linear water waves
    • In press, doi: 10.1007/s000021-1010005-0214-2
    • Constantin, A. & Villari, G. In press Particle trajectories in linear water waves. J. Math. Fluid Mech. (doi: 10.1007/s000021-1010005-0214-2)
    • J. Math. Fluid Mech
    • Constantin, A.1    Villari, G.2
  • 10
    • 32044450307 scopus 로고    scopus 로고
    • Variational formulations for steady water waves with vorticity
    • doi:10.1017/S0022112005007469
    • Constantin, A., Sattinger, D. & Strauss, W. 2006 Variational formulations for steady water waves with vorticity. J. Fluid Mech. 548, 151-163. (doi:10.1017/S0022112005007469)
    • (2006) J. Fluid Mech , vol.548 , pp. 151-163
    • Constantin, A.1    Sattinger, D.2    Strauss, W.3
  • 11
    • 0034550889 scopus 로고    scopus 로고
    • Traveling two and three-dimensional capillary gravity water waves
    • doi:10.1137/S0036141099354181
    • Craig, W. & Nicholls, D. P. 2000 Traveling two and three-dimensional capillary gravity water waves. SIAM J. Math. Anal. 32, 323-359. (doi:10.1137/S0036141099354181)
    • (2000) SIAM J. Math. Anal , vol.32 , pp. 323-359
    • Craig, W.1    Nicholls, D.P.2
  • 13
    • 33747159045 scopus 로고    scopus 로고
    • Uniqueness for steady periodic water waves with vorticity
    • doi:10.1155/IMRN.2005.3721
    • Ehrnstöm, M. 2005 Uniqueness for steady periodic water waves with vorticity. Int. Math. Res. Not. 2005, 3721-3726. (doi:10.1155/IMRN.2005.3721)
    • (2005) Int. Math. Res. Not , vol.2005 , pp. 3721-3726
    • Ehrnstöm, M.1
  • 14
    • 0031375381 scopus 로고    scopus 로고
    • On variational formulations for steady water waves
    • doi:10.1007/s002050050028
    • Groves, M. & Toland, J. 1997 On variational formulations for steady water waves. Arch. Rat. Mech. Anal. 137, 203-226. (doi:10.1007/s002050050028)
    • (1997) Arch. Rat. Mech. Anal , vol.137 , pp. 203-226
    • Groves, M.1    Toland, J.2
  • 17
    • 0022904427 scopus 로고
    • Symmetry and the bifurcation of capillary-gravity waves
    • doi:10.1007/BF00251412
    • Jones, M. & Toland, J. 1986 Symmetry and the bifurcation of capillary-gravity waves. Arch. Rat. Mech. Anal. 96, 29-53. (doi:10.1007/BF00251412)
    • (1986) Arch. Rat. Mech. Anal , vol.96 , pp. 29-53
    • Jones, M.1    Toland, J.2
  • 18
    • 0017889140 scopus 로고
    • Cambridge, UK: Cambridge University Press
    • Lighthill, J. 1978 Waves in fluids. Cambridge, UK: Cambridge University Press.
    • (1978) Waves in fluids
    • Lighthill, J.1
  • 19
    • 0003252211 scopus 로고
    • Morse theory
    • Princeton, NJ: Princeton University Press
    • Milnor, J. 1963 Morse theory. Annals of Mathematics Studies. Princeton, NJ: Princeton University Press.
    • (1963) Annals of Mathematics Studies
    • Milnor, J.1
  • 22
    • 33947375479 scopus 로고    scopus 로고
    • Steady periodic capillary-gravity waves with vorticity
    • doi:10.1137/050630465
    • Wahlen, E. 2006a Steady periodic capillary-gravity waves with vorticity. SIAM J. Math. Anal. 38, 921-943. (doi:10.1137/050630465)
    • (2006) SIAM J. Math. Anal , vol.38 , pp. 921-943
    • Wahlen, E.1
  • 23
    • 33947164511 scopus 로고    scopus 로고
    • 20066 Steady periodic capillary waves with vorticity
    • doi:10. 1007/sll512-006-0024-7
    • Wahlen, E. 20066 Steady periodic capillary waves with vorticity. Ark. Mat. 44, 367-387. (doi:10. 1007/sll512-006-0024-7)
    • Ark. Mat , vol.44 , pp. 367-387
    • Wahlen, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.