Three-dimensional wave-free potentials in the theory of water waves

B. N. Mandal

doi:10.21914/anziamj.v55i0.6552

Authors

B. N. Mandal Physics and Applied Mathematics Unit Indian Statistical Institute 203 B. T. Road Kolkata 700108 INDIA

DOI:

https://doi.org/10.21914/anziamj.v55i0.6552

Keywords:

Wave-free potentials, three dimensions, free surface, surface tension, ice-cover, Laplace equation.

Abstract

The method of constructing wave-free potentials in three dimensions is presented here in a systematic manner for a number of situations such as deep water and water of uniform finite depth with a free surface, neglecting or taking into account the effect of surface tension, or with an ice-cover modelled as a thin elastic plate floating on water. doi:10.1017/S1446181113000357

Author Biography

B. N. Mandal, Physics and Applied Mathematics Unit Indian Statistical Institute 203 B. T. Road Kolkata 700108 INDIA

Physics and Applied Mathematics Unit NASI Senior Scientist