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Abstract

The general problem of the free oscillations under gravity of a body of water in basins of variable depth, or travelling gravity waves over the free surface in canals of variable depth, has a long history. A theoretical treatment of such problems is usually based on the linearized three-dimensional theory of an incompressible inviscid fluid. Some exact solutions of these equations have been obtained for certain special basin profiles, which include those in the references cited in Lamb [1, pp. 276, 443–444], in Wehausen and Laitone [2, pp. 537–552 and 624–627] and those contained in the papers of Sen [3] and Storchi [4, 5].

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References

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Dedicated to Paul M. Naghdi on the occasion of his 70th birthday

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© 1995 Birkhäuser Verlag Basel/Switzerland

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Green, A.E. (1995). On gravity waves in channels. In: Casey, J., Crochet, M.J. (eds) Theoretical, Experimental, and Numerical Contributions to the Mechanics of Fluids and Solids. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9229-2_29

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  • DOI: https://doi.org/10.1007/978-3-0348-9229-2_29

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-9954-3

  • Online ISBN: 978-3-0348-9229-2

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