McIver 1996

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M. McIver 1996 An example of non-uniqueness in the two-dimensional water wave problem. Journal of Fluid Mechanics, 315, 257-266.

This is a very significant paper, proving that the two-dimensional water wave problem is not unique. The proof relied on constructing a counter example by producing a wave-free potential which had streamlines which bounded the sigularities. This paper is the starting point for the construction of trapped modes.