Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



On the linear capillary gravity wave problem

Author: J. C. Murray
Journal: Quart. Appl. Math. 33 (1976), 417-421
MSC: Primary 76.35
DOI: https://doi.org/10.1090/qam/449158
MathSciNet review: 449158
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Abstract: A general initial-boundary value problem is formulated for capillary-gravity waves which includes the derivation of a boundary condition at the liquid-solid intersection. Conditions on the bounding surface geometry which ensure uniqueness are also established.

References [Enhancements On Off] (What's this?)

  • [1] V. G.Levich and V. S. Krylov, Surface tension-driven phenomena, in Annual review of fluid mechanics 1, Annual Reviews, Inc., Calif., 1969, p. 293
  • [2] John V. Wehausen and Edmund V. Laitone, Surface waves, Handbuch der Physik, Vol. 9, Part 3, Springer-Verlag, Berlin, 1960, pp. 446–778. MR 0119656
  • [3] D. V. Evans, The influence of surface tension on the reflection of water waves by a plane vertical barrier, Proc. Camb. Phil. Soc. 64, 795-810 (1968)
  • [4] P. F. Rhodes-Robinson, On the forced surface waves due to a vertical wavemaker in the presence of surface tension, Proc. Cambridge Philos. Soc. 70 (1971), 323–337. MR 0290650
  • [5] D. V. Evans, The effect of surface tension on the waves produced by a heaving circular cylinder, Proc. Camb. Phil. Soc. 64, 833-847 (1968)

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DOI: https://doi.org/10.1090/qam/449158
Article copyright: © Copyright 1976 American Mathematical Society

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