Article

Proceedings of the Indian Academy of Sciences - Mathematical Sciences

, Volume 107, Issue 1, pp 89-93

On the incoming water waves against a vertical cliff

  • A. ChakrabartiAffiliated withDepartment of Mathematics, Indian Institute of Science
  • , T. SahooAffiliated withDepartment of Mathematics, Indian Institute of Science

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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