PHYSICAL REVIEW LETTERS. VOLUME 78, NUMBER 5. 3 FEBRUARY 1997
en_US
Identifier
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https://repositorio.uchile.cl/handle/2250/125873
Abstract
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We derive an exact equation which is nonlocal in time for the linear evolution of the surface of
a viscous fluid, and show that this equation becomes local and of second order in an interesting
limit. We use our local equation to study Faraday’s instability in a strongly dissipative regime and
find a new scenario which is the analog of the Rayleigh-Taylor instability. Analytic and numerical
calculations are presented for the threshold of the forcing and for the most unstable mode with
impressive agreement with experiments and numerical work on the exact Navier-Stokes equations.
[S0031-9007(96)02234-X]