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

B. N. Mandal

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

Keywords


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



DOI: http://dx.doi.org/10.21914/anziamj.v55i0.6552



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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.