On the incoming water waves against a vertical cliff

  • A. Chakrabarti
  • T. Sahoo
Article

Abstract

The problems of obliquely incident surface water waves against a vertical cliff have been handled in both the cases of water of infinite as well as finite depth by straight-forward uses of appropriate Havelock-type expansion theorems. The logarithmic singularity along the shore-line has been incorporated in a direct manner, by suitably representing the Dirac’s delta function.

Keywords

Water wave logarithmic singularity Dirac’s delta function 

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References

  1. [1]
    Chakrabarti A,Obliquely incident water waves against a vertical cliff, Appl. Math. Lett. 5 (1992) 13–17MATHMathSciNetGoogle Scholar
  2. [2]
    Friedman B, Principles and Techniques of Applied Mathematics (1956) (New York: John Wiley and Sons Inc.) 93MATHGoogle Scholar
  3. [3]
    Faulkner T R,The diffraction of an obliquely incident surface water wave by a vertical barrier of finite depth, Proc. Cambridge Philos. Soc. 62 (1966) 829–838MATHGoogle Scholar
  4. [4]
    Jervis J R and Taylor B S,The Scattering of surface water waves by a vertical plane barrier, Proc. Cambridge Philos. Soc. 66 (1969) 417–422Google Scholar
  5. [5]
    Mandal B N and Kundu P K,Incoming water waves against a vertical cliff, Appl. Math. Lett. 3 (1990) 33–36MATHGoogle Scholar
  6. [6]
    Stoker J J, Water Waves (1957) (New York: Interscience)MATHGoogle Scholar
  7. [7]
    Stoker J J,Surface waves in water of variable depth, Quart. Appl. Math. 5 (1947) 1–54MATHMathSciNetGoogle Scholar
  8. [8]
    Ursell F,The effect of a fixed vertical barrier on surface waves in deep water, Proc. Cambridge. Philos. Soc. 43 (1947) 374–382MATHMathSciNetGoogle Scholar

Copyright information

© Indian Academy of Sciences 1997

Authors and Affiliations

  • A. Chakrabarti
    • 1
  • T. Sahoo
    • 1
  1. 1.Department of MathematicsIndian Institute of ScienceBangaloreIndia

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