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Wave motion in an ice covered ocean due to small oscillations of a submerged thin vertical plate

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Abstract

In this paper we study the problem of generation of surface waves produced by small oscillation of a thin vertical plate submerged in deep ice covered ocean. Two particular problems are considered here viz, the problem of wave generation due to a) rolling of the plate and b) presence of a line source in front of a fixed vertical plate. The amplitude of radiated waves at large distances from the plate, for both problems, is obtained by a suitable application of Green’s integral theorem. These are then studied graphically for various values of the ice cover parameter.

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Authors and Affiliations

  1. Department of Mathematics, Jadavpur University, Kolkata, 700032, India

    Paramita Maiti & Sudeshna Banerjea

  2. Department of Mathematics, J. K. College, Purulia, West Bengal, 723101, India

    Puspendu Rakshit

Authors
  1. Paramita Maiti
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  2. Puspendu Rakshit
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  3. Sudeshna Banerjea
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Correspondence to Sudeshna Banerjea.

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Maiti, P., Rakshit, P. & Banerjea, S. Wave motion in an ice covered ocean due to small oscillations of a submerged thin vertical plate. J. Marine. Sci. Appl. 14, 355–365 (2015). https://doi.org/10.1007/s11804-015-1326-6

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  • DOI: https://doi.org/10.1007/s11804-015-1326-6

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