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Nov 25 2002
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# Faraday waves literature

**0**
Faraday instability,
T. Cvitanovic' notes (Nov 26 2002) -
tex -
bib
A summary of the derivation of the equations.
**1**
On a peculiar class of Acoustical Figures,
**M. Faraday**,
*Philos. Trans. R.Soc. London* **52** (**1831**)
Careful experimentation, but absolutely clueless about mathematical
mode of description - this kind of English empiricism must have
driven French mathematicians cookoo.
**2**
The Stability of the Plane Free Surface of a Liquid in Vertical Periodic Motion,
T. B. Benjamin, F. Ursell,
*Proc Royal Society of London. Series A, Math Phys* **225** (1954), pp. 505-515.
A pedagogical exposition of the Mathieu function stability analysis in
the ideal Euler fluid approximation.
**3**
Linear Theory of Faraday Instability in Viscous Liquids, Krishna Kumar,
*Proc Royal Society of London. Series A, Math Phys* **452**, (1996), pp. 1113-1126.
**4**
Parametric instability of the interface between two fluids,
K. Kumar and L.S. Tuckerman,
*J. Fluid Mech.* **279**, 49-68 (1994)
(file not available)
**5**
Patterns and quasi-patterns in the Faraday experiment,
W.S. Edwards and S. Fauve,
*J. Fluid Mech.* ** 278**, 123-148 (1994)
(file not available)
**6**
Two-frequency
parametric excitation of surface waves
Phys. Rev. E 54, 507-513 (1996),
T Besson, WS Edwards and LS Tuckerman
**7**
Theoretical Model for Faraday Waves with Multiple-Frequency Forcing, Ron Lifshitz, Dean M. Petrich
**8**
A Simple Model for Faraday Waves,
J Bechhoefer and B Johnson
**9**
Pattern selection in Faraday waves, P. Chen and J. Viņals, Phys. Rev. Lett. 79, 2670 (1997).
**10**
Amplitude equations and pattern selection in Faraday waves, P. Chen and J. Viņals,
Phys. Rev. E. 60, 551 (1999).
**12**
Faraday patterns in Bose-Einstein condensates,
K. Staliunas, S. Longhi, G. J. de Valcarcel

Mike Schatz recommendatios:

**Parametrically Forced Surface Waves**,
J Miles and D Henderson,
*Annu. Rev. Fluid Mech. 1990, Vol. 22: 143-165 *.
(file not available)

--rather dated
but good overview (not much on pattern formation).

patterns article by Douady
Journal of Fluid Mechanics
from early 90's---very clear exposition on basic pattern forming
aspects (no fancy stuff like quasipatterns)

# Faraday waves links

Faraday waves - Copenhagen
M Levinsen papers (mostly on
experimental turbulence/scaling)
Faraday waves - Caltech
Faraday waves - Eidenhaven
Faraday Waves - Toronto
Faraday Waves - Simon Frazer
Faraday waves - Haverford
Faraday waves - Mainz
surface waves - Gollub video
# Further links

Eindhoven U - Fluid Dynamics Laboratory
J Gollub
E Bodenschatz
Arshad Kudrolli
Michael Cross
Ernst Florens Friedrich Chladni
Michael Faraday
Herman Ludwig Ferdinand Helmholtz