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arXiv · 1205.6751

Irrotational, two-dimensional Surface waves in fluids

W. G. Unruh
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Abstract

The equations for waves on the surface of an irrotational incompressible fluid are derived in the coordinates of the velocity potential/stream function. The low frequency shallow water approximation for these waves is derived for a varying bottom topography. Most importantly, the conserved norm for the surface waves is derived, important for quantisation of these waves and their use in analog models for black holes.

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BibTeXRIS

W. G. Unruh. 2012-05-30. Irrotational, two-dimensional Surface waves in fluids. https://doi.org/10.1007/978-3-319-00266-8_4

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