Irrotational, two-dimensional Surface waves in fluids

Autor: Unruh, W. G.
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