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.
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
- 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
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)
- 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 290650, DOI https://doi.org/10.1017/s0305004100049926
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)
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
J. V. Wehausen and E. V. Laitone, Surface waves, in Handbuch der physik, Springer Verlag, 1960, p. 446
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)
P. F. Rhodes-Robinson, On the forced surface waves due to a vertical wave-maker in the presence of surface tension, Proc. Camb. Phil. Soc. 70, 323–337 (1971)
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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Article copyright:
© Copyright 1976
American Mathematical Society
