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Volumn 71, Issue 9, 2009, Pages 3779-3793

Particle trajectories beneath small amplitude shallow water waves in constant vorticity flows

Author keywords

Particle trajectory; Small amplitude shallow water waves; Vorticity

Indexed keywords

FREE SURFACES; NONLINEAR DIFFERENTIAL EQUATION; PARTICLE MOTIONS; PARTICLE TRAJECTORIES; PARTICLE TRAJECTORY; PERIODIC WAVES; SHALLOW WATER FLOW; SHALLOW WATER WAVES; SMALL AMPLITUDE; SMALL AMPLITUDE SHALLOW WATER WAVES;

EID: 67349234562     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2009.02.050     Document Type: Article
Times cited : (11)

References (30)
  • 3
    • 0029846059 scopus 로고    scopus 로고
    • Shallow water gravity waves: A note on the particle orbits
    • Kenyon K.E. Shallow water gravity waves: A note on the particle orbits. J. Oceanography 52 (1996) 353-357
    • (1996) J. Oceanography , vol.52 , pp. 353-357
    • Kenyon, K.E.1
  • 8
    • 40249098867 scopus 로고    scopus 로고
    • Particle trajectories in linear water waves
    • Constantin A., and Villari G. Particle trajectories in linear water waves. J. Math. Fluid Mech. 10 (2008) 1-18
    • (2008) J. Math. Fluid Mech. , vol.10 , pp. 1-18
    • Constantin, A.1    Villari, G.2
  • 10
    • 0000025473 scopus 로고
    • On the theory of oscillatory waves
    • Reprinted in: Stokes G.G., Mathematical and Physical Papers, Volume I, Cambridge University Press, 1880, pp. 197-229
    • Stokes G.G. On the theory of oscillatory waves. Trans. Camb. Phil. Soc. 8 (1847) 441-455 Reprinted in: Stokes G.G., Mathematical and Physical Papers, Volume I, Cambridge University Press, 1880, pp. 197-229
    • (1847) Trans. Camb. Phil. Soc. , vol.8 , pp. 441-455
    • Stokes, G.G.1
  • 11
    • 51149103098 scopus 로고    scopus 로고
    • Particle trajectories in linearized irrotational shallow water flows
    • Ionescu-Kruse D. Particle trajectories in linearized irrotational shallow water flows. J. Nonlinear Math. Phys. 15 (2008) 13-27
    • (2008) J. Nonlinear Math. Phys. , vol.15 , pp. 13-27
    • Ionescu-Kruse, D.1
  • 12
    • 43049087782 scopus 로고    scopus 로고
    • On the streamlines and particle paths of gravitational water waves
    • Ehrnström M. On the streamlines and particle paths of gravitational water waves. Nonlinearity 21 (2008) 1141-1154
    • (2008) Nonlinearity , vol.21 , pp. 1141-1154
    • Ehrnström, M.1
  • 13
    • 40849123737 scopus 로고    scopus 로고
    • Linear water waves with vorticity: Rotational features and particle paths
    • Ehrnström M., and Villari G. Linear water waves with vorticity: Rotational features and particle paths. J. Differential Equations 244 (2008) 1888-1909
    • (2008) J. Differential Equations , vol.244 , pp. 1888-1909
    • Ehrnström, M.1    Villari, G.2
  • 14
    • 33750526877 scopus 로고    scopus 로고
    • The trajectories of particles in Stokes waves
    • Constantin A. The trajectories of particles in Stokes waves. Invent. Math. 166 (2006) 523-535
    • (2006) Invent. Math. , vol.166 , pp. 523-535
    • Constantin, A.1
  • 15
    • 33846676190 scopus 로고    scopus 로고
    • The trajectories of particles in deep-water Stokes waves
    • Art. ID 23405
    • Henry D. The trajectories of particles in deep-water Stokes waves. Int. Math. Res. Not. (2006) 13 Art. ID 23405
    • (2006) Int. Math. Res. Not. , pp. 13
    • Henry, D.1
  • 16
    • 51149096290 scopus 로고    scopus 로고
    • Pressure and trajectories beneath a Stokes wave
    • preprint
    • A. Constantin, W. Strauss, Pressure and trajectories beneath a Stokes wave, preprint, 2008
    • (2008)
    • Constantin, A.1    Strauss, W.2
  • 17
    • 35248855142 scopus 로고    scopus 로고
    • Particle trajectories in solitary water waves
    • Constantin A., and Escher J. Particle trajectories in solitary water waves. Bull. Amer. Math. Soc. 44 (2007) 423-431
    • (2007) Bull. Amer. Math. Soc. , vol.44 , pp. 423-431
    • Constantin, A.1    Escher, J.2
  • 18
    • 77952870940 scopus 로고
    • Theorie der Wellen samt einer daraus abgeleiteten Theorie der Deichprofile
    • Gerstner F. Theorie der Wellen samt einer daraus abgeleiteten Theorie der Deichprofile. Ann. Phys. 2 (1809) 412-445
    • (1809) Ann. Phys. , vol.2 , pp. 412-445
    • Gerstner, F.1
  • 19
    • 0039896325 scopus 로고    scopus 로고
    • On the deep water wave motion
    • Constantin A. On the deep water wave motion. J. Phys. A 34 (2001) 1405-1417
    • (2001) J. Phys. A , vol.34 , pp. 1405-1417
    • Constantin, A.1
  • 20
    • 0035900644 scopus 로고    scopus 로고
    • Edge waves along a sloping beach
    • Constantin A. Edge waves along a sloping beach. J. Phys. A 34 (2001) 9723-9731
    • (2001) J. Phys. A , vol.34 , pp. 9723-9731
    • Constantin, A.1
  • 21
    • 84958429517 scopus 로고
    • An exact solution for progressive capillary waves of arbitrary amplitude
    • Crapper G.D. An exact solution for progressive capillary waves of arbitrary amplitude. J. Fluid Mech. 2 (1957) 532-540
    • (1957) J. Fluid Mech. , vol.2 , pp. 532-540
    • Crapper, G.D.1
  • 22
    • 0016890105 scopus 로고
    • Exact large amplitude capillary waves on sheets of fluids
    • Kinnersley W. Exact large amplitude capillary waves on sheets of fluids. J. Fluid Mech. 77 (1976) 229-241
    • (1976) J. Fluid Mech. , vol.77 , pp. 229-241
    • Kinnersley, W.1
  • 23
    • 34548446988 scopus 로고    scopus 로고
    • Well-posedness of the free-surface incompressible Euler equations with or without surface tension
    • Coutand D., and Shkoller S. Well-posedness of the free-surface incompressible Euler equations with or without surface tension. J. Amer. Math. Soc. 20 (2007) 829-930
    • (2007) J. Amer. Math. Soc. , vol.20 , pp. 829-930
    • Coutand, D.1    Shkoller, S.2
  • 24
    • 0000166670 scopus 로고
    • On the Stokes conjecture for the wave of extreme form
    • Amick C.J., Fraenkel L.E., and Toland J.F. 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
  • 26
    • 1242319077 scopus 로고    scopus 로고
    • Exact steady periodic water waves with vorticity
    • Constantin A., and Strauss W. Exact steady periodic water waves with vorticity. Comm. Pure Appl. Math. 57 (2004) 481-527
    • (2004) Comm. Pure Appl. Math. , vol.57 , pp. 481-527
    • Constantin, A.1    Strauss, W.2
  • 27
    • 34247513994 scopus 로고    scopus 로고
    • Stability properties of steady water waves with vorticity
    • Constantin A., and Strauss W. Stability properties of steady water waves with vorticity. Comm. Pure Appl. Math. 60 (2007) 911-950
    • (2007) Comm. Pure Appl. Math. , vol.60 , pp. 911-950
    • Constantin, A.1    Strauss, W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.