Irrotational, two-dimensional Surface waves in fluids
Autor: | Unruh, W. G. |
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Rok vydání: | 2012 |
Předmět: | |
Druh dokumentu: | Working Paper |
DOI: | 10.1007/978-3-319-00266-8_4 |
Popis: | 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. Comment: 14 pages. To appear in Analog Gravity-- Proceedings of the Como Summer School 2011 ed D. Faccio et al, Springer-Velag |
Databáze: | arXiv |
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