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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.
    Panda, Srikumar Mondal, Arpita and Gayen, R 2017. An Efficient Integral Equation Approach to Study Wave Reflection by a Discontinuity in the Impedance-Type Surface Boundary Conditions. International Journal of Applied and Computational Mathematics, Vol. 3, Issue. 2, p. 1037.
    Lu, D.Q. and Dai, S.Q. 2008. Flexural- and capillary-gravity waves due to fundamental singularities in an inviscid fluid of finite depth. International Journal of Engineering Science, Vol. 46, Issue. 11, p. 1183.
    Lu, D. Q. and Dai, S. Q. 2008. Generation of unsteady waves by concentrated disturbances in an inviscid fluid with an inertial surface. Acta Mechanica Sinica, Vol. 24, Issue. 3, p. 267.
    Ghosh, N. K. 1991. A cylindrical wave-maker problem in a liquid of finite depth with an inertial surface in the presence of surface tension. The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, Vol. 33, Issue. 01, p. 111.
    Mandal, B.N. and Kundu, Krishna 1987. Ring source potentials in a fluid with an inertial surface in the presence of surface tension. International Journal of Engineering Science, Vol. 25, Issue. 11-12, p. 1383.
    Mandal, B. N. and Kundu, Krishna 1986. A note on the singularities in the theory of water waves with an inertial surface. The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, Vol. 28, Issue. 02, p. 271.
    Rhodes-Robinson, P. F. 1984. On the generation of water waves at an inertial surface. The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, Vol. 25, Issue. 03, p. 366.
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Note on the effect of surface tension on water waves at an inertial surface

  • P. F. Rhodes-Robinson (a1)
Abstract

This note is to show that in the presence of surface tension small progressive waves can always exist in water having an inertial surface composed of uniformly distributed floating particles, in contrast to the known result in the absence of surface tension that precludes propagation under a surface that is too heavy.

Copyright
© 1982 Cambridge University Press
References
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Peters, A. S. 1950 The effect of a floating mat on water waves. Commun. Pure Appl. Math. 3, 319–354.
Rhodes-Robinson, P. F. 1980 On waves at an interface between two liquids. Math. Proc. Camb. Phil. Soc. 88, 183–191.
Rhodes-Robinson, P. F. 1983 On the generation of water waves at an inertial surface. J. Austral. Math. Soc. B (to appear).
Weitz, M. & Keller, J. B. 1950 Reflection of water waves from floating ice in water of finite depth. Commun. Pure Appl. Math. 3, 305–318.
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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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