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Abstract

The effect of a thin sheet of sea ice, modelled as an elastic plate, on the propagation of surface gravity waves in the ocean has been the subject of extensive study. A classic problem is that of a plane wave obliquely incident from an open ocean of constant finite depth on an ice sheet in the form of a half-plane. This problem was solved using the Wiener-Hopf technique by Evans and Davies [3]. In their report Evans and Davies wrote of part of the solution process “Unfortunately, the determination of the constants... presents enormous computational difficulties...” and ever since their appears to have been a general feeling that the Weiner-Hopf solution to this problem is cumbersome and impractical.

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References

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© 2003 Springer-Verlag Berlin Heidelberg

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Linton, C.M., Chung, H. (2003). Wave Reflection by a Sheet of Sea Ice. In: Cohen, G.C., Joly, P., Heikkola, E., Neittaanmäki, P. (eds) Mathematical and Numerical Aspects of Wave Propagation WAVES 2003. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55856-6_38

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  • DOI: https://doi.org/10.1007/978-3-642-55856-6_38

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-62480-3

  • Online ISBN: 978-3-642-55856-6

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