메뉴 건너뛰기




Volumn 15, Issue , 2008, Pages 87-95

On gerstner’s water wave

Author keywords

[No Author keywords available]

Indexed keywords


EID: 51149102491     PISSN: 14029251     EISSN: 17760852     Source Type: Journal    
DOI: 10.2991/jnmp.2008.15.S2.7     Document Type: Article
Times cited : (143)

References (36)
  • 1
    • 0000166670 scopus 로고
    • On the Stokes conjecture for the wave of extreme form
    • Amick, C J, Fraenkel, L E, and Toland, J F. 1982. On the Stokes conjecture for the wave of extreme form. Acta Math., 148:193–214.
    • (1982) Acta Math. , vol.148 , pp. 193-214
    • Amick, C.J.1    Fraenkel, L.E.2    Toland, J.F.3
  • 2
    • 84980129561 scopus 로고
    • The existence of solitary water waves
    • Beale, J T. 1977. The existence of solitary water waves. Comm. Pure Appl. Math., 30:373–389.
    • (1977) Comm. Pure Appl. Math. , vol.30 , pp. 373-389
    • Beale, J.T.1
  • 3
    • 0039896325 scopus 로고    scopus 로고
    • On the deep water wave motion
    • Constantin, A. 2001. On the deep water wave motion. J. Phys. A, 34:1405–1417.
    • (2001) J. Phys. A , vol.34 , pp. 1405-1417
    • Constantin, A.1
  • 4
    • 0035900644 scopus 로고    scopus 로고
    • Edge waves along a sloping beach
    • Constantin, A. 2001. Edge waves along a sloping beach. J. Phys. A, 34:9723–9731.
    • (2001) J. Phys. A , vol.34 , pp. 9723-9731
    • Constantin, A.1
  • 5
    • 33750526877 scopus 로고    scopus 로고
    • The trajectories of particles in stokes waves
    • Constantin, A. 2006. The trajectories of particles in stokes waves. Invent. Math., 166:523–535.
    • (2006) Invent. Math. , vol.166 , pp. 523-535
    • Constantin, A.1
  • 6
    • 36749053040 scopus 로고    scopus 로고
    • Symmetry of steady periodic gravity water waves with vorticity
    • Constantin, A, Ehrnström, M, and Wahlén, E. 2007. Symmetry of steady periodic gravity water waves with vorticity. Duke Math. J., 140:591–603.
    • (2007) Duke Math. J. , vol.140 , pp. 591-603
    • Constantin, A.1    Ehrnström, M.2    Wahlén, E.3
  • 7
    • 1242299759 scopus 로고    scopus 로고
    • Symmetry of steady periodic surface water waves with vorticity
    • Constantin, A, and Escher, J. 2004. Symmetry of steady periodic surface water waves with vorticity. J. Fluid Mech., 498:171–181.
    • (2004) J. Fluid Mech. , vol.498 , pp. 171-181
    • Constantin, A.1    Escher, J.2
  • 8
    • 17044390729 scopus 로고    scopus 로고
    • Symmetry of deep-water waves with vorticity
    • Constantin, A, and Escher, J. 2004. Symmetry of deep-water waves with vorticity. European J. Appl. Math., 15:755–768.
    • (2004) European J. Appl. Math. , vol.15 , pp. 755-768
    • Constantin, A.1    Escher, J.2
  • 9
    • 35248855142 scopus 로고    scopus 로고
    • Particle trajectories in solitary water waves
    • Constantin, A, and Escher, J. 2007. Particle trajectories in solitary water waves. Bull. Amer. Math. Soc., 44:423–431.
    • (2007) Bull. Amer. Math. Soc. , vol.44 , pp. 423-431
    • Constantin, A.1    Escher, J.2
  • 10
    • 38649087078 scopus 로고    scopus 로고
    • On the propagation of very long waves, with vorticity, over variable depth, with applications to tsunamis
    • Constantin, A, and Johnson, R S. 2008. On the propagation of very long waves, with vorticity, over variable depth, with applications to tsunamis. Fluid Dynamics Research, 40:175–211.
    • (2008) Fluid Dynamics Research , vol.40 , pp. 175-211
    • Constantin, A.1    Johnson, R.S.2
  • 11
    • 32044450307 scopus 로고    scopus 로고
    • Variational formulations for steady water waves with vorticity
    • Constantin, A, Sattinger, D, and Strauss, W. 2006. Variational formulations for steady water waves with vorticity. J. Fluid Mech., 548:151–163.
    • (2006) J. Fluid Mech. , vol.548 , pp. 151-163
    • Constantin, A.1    Sattinger, D.2    Strauss, W.3
  • 12
    • 1242319077 scopus 로고    scopus 로고
    • Exact steady periodic water waves with vorticity
    • Constantin, A, and Strauss, W. 2004. Exact steady periodic water waves with vorticity. Comm. Pure Appl. Math., 57:481–527.
    • (2004) Comm. Pure Appl. Math. , vol.57 , pp. 481-527
    • Constantin, A.1    Strauss, W.2
  • 13
    • 34548208789 scopus 로고    scopus 로고
    • Rotational steady water waves near stagnation
    • Constantin, A, and Strauss, W. 2007. Rotational steady water waves near stagnation. Philos. Trans. R. Soc. A, 365:2227–2239.
    • (2007) Philos. Trans. R. Soc. A , vol.365 , pp. 2227-2239
    • Constantin, A.1    Strauss, W.2
  • 14
    • 34247513994 scopus 로고    scopus 로고
    • Stability properties of steady water waves with vorticity
    • Constantin, A, and Strauss, W. 2007. Stability properties of steady water waves with vorticity. Comm. Pure Appl. Math., 60:911–950.
    • (2007) Comm. Pure Appl. Math. , vol.60 , pp. 911-950
    • Constantin, A.1    Strauss, W.2
  • 15
    • 40249098867 scopus 로고    scopus 로고
    • Particle trajectories in linear water waves
    • Constantin, A, and Villari, G. 2008. Particle trajectories in linear water waves. J. Math. Fluid Mech., 10:1–18.
    • (2008) J. Math. Fluid Mech. , vol.10 , pp. 1-18
    • Constantin, A.1    Villari, G.2
  • 16
    • 84958429517 scopus 로고
    • An exact solution for progressive capillary waves of arbitrary amplitude
    • Crapper, G D. 1957. An exact solution for progressive capillary waves of arbitrary amplitude. J. Fluid Mech., 2:532–540.
    • (1957) J. Fluid Mech. , vol.2 , pp. 532-540
    • Crapper, G.D.1
  • 18
    • 40849123737 scopus 로고    scopus 로고
    • Linear water waves with vorticity: Rotational features and particle paths
    • Ehrnström, M, and Villari, G. 2008. Linear water waves with vorticity:Rotational features and particle paths. J. Differential Equations, 244:1888–1909.
    • (2008) J. Differential Equations , vol.244 , pp. 1888-1909
    • Ehrnström, M.1    Villari, G.2
  • 19
    • 77952870940 scopus 로고
    • Theorie der Wellen samt einer daraus abgeleiteten Theorie der Deichprofile
    • Gerstner, F. 1809. Theorie der Wellen samt einer daraus abgeleiteten Theorie der Deichprofile. Ann. Phys., 2:412–445.
    • (1809) Ann. Phys. , vol.2 , pp. 412-445
    • Gerstner, F.1
  • 20
    • 33947106159 scopus 로고    scopus 로고
    • Particle trajectories in linear periodic capillary and capillary-gravity deep-water waves
    • Henry, D. 2007. Particle trajectories in linear periodic capillary and capillary-gravity deep-water waves. J. Nonl. Math. Phys., 14:1–7.
    • (2007) J. Nonl. Math. Phys. , vol.14 , pp. 1-7
    • Henry, D.1
  • 21
    • 34548285474 scopus 로고    scopus 로고
    • Particle trajectories in linear periodic capillary and capillary-gravity water waves
    • Henry, D. 2007. Particle trajectories in linear periodic capillary and capillary-gravity water waves. Phil. Trans. R. Soc. A, 365:2241–2251.
    • (2007) Phil. Trans. R. Soc. A , vol.365 , pp. 2241-2251
    • Henry, D.1
  • 22
    • 33846676190 scopus 로고    scopus 로고
    • The trajectories of particles in deep-water Stokes waves
    • Art. ID 23405
    • Henry, D. 2006. The trajectories of particles in deep-water Stokes waves. Int. Math. Res. Not.,:13 Art. ID 23405
    • (2006) Int. Math. Res. Not. , pp. 13
    • Henry, D.1
  • 24
    • 0016890105 scopus 로고
    • Exact large amplitude capillary waves on sheets of fluid
    • Kinnersley, W. 1976. Exact large amplitude capillary waves on sheets of fluid. J. Fluid Mech., 77:229–241.
    • (1976) J. Fluid Mech. , vol.77 , pp. 229-241
    • Kinnersley, W.1
  • 25
    • 38849197027 scopus 로고    scopus 로고
    • Large-amplitude steady rotational water waves
    • Ko, J, and Strauss, W A. 2008. Large-amplitude steady rotational water waves. Eur. J. Mech. B, 27:96–109.
    • (2008) Eur. J. Mech. B , vol.27 , pp. 96-109
    • Ko, J.1    Strauss, W.A.2
  • 27
    • 0004289888 scopus 로고
    • Cambridge: Cambridge Univ. Press
    • Lighthill, J. 1978. Waves In Fluids, Cambridge:Cambridge Univ. Press.
    • (1978) Waves In Fluids
    • Lighthill, J.1
  • 28
    • 0004081871 scopus 로고
    • Cambridge: Cambridge Univ. Press
    • Lloyd, N G. 1978. Degree Theory, Cambridge:Cambridge Univ. Press.
    • (1978) Degree Theory
    • Lloyd, N.G.1
  • 29
    • 0007411833 scopus 로고
    • The trajectories of particles in steep, symmetric gravity waves
    • Longuet-Higgins, M S. 1979. The trajectories of particles in steep, symmetric gravity waves. J. Fluid Mech. 94,:497–517.
    • (1979) J. Fluid Mech. 94 , pp. 497-517
    • Longuet-Higgins, M.S.1
  • 32
    • 1642376650 scopus 로고
    • On the exact form of waves near the surface of deep water
    • Rankine, W J M. 1863. On the exact form of waves near the surface of deep water. Phil. Trans. R. Soc. A, 153:127–138.
    • (1863) Phil. Trans. R. Soc. A , vol.153 , pp. 127-138
    • Rankine, W.J.M.1
  • 36
    • 34548268647 scopus 로고    scopus 로고
    • On Rotational Water Waves With surface tension
    • Wahlén, E. 2007. On Rotational Water Waves With surface tension. Philos. Trans. R. Soc. A, 365:2215–2225.
    • (2007) Philos. Trans. R. Soc. A , vol.365 , pp. 2215-2225
    • Wahlén, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.