Author： Cerda E. Rojas R. Tirapegui E.
Publisher： Springer Publishing Company
ISSN： 0022-4715
Source： Journal of Statistical Physics, Vol.101, Iss.1-2, 2000-10, pp. : 553-565
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Abstract
We prove that the exact non local equation derived by the present authors for the temporal linear evolution of the surface of a viscous incompressible fluid reduces asymptotically for high viscosity to a second order Mathieu type equation proposed recently by Cerda and Tirapegui. The equation describes a strongly damped pendulum and the conditions of validity of the asymptotic regime are given in terms of the relevant physical parameters.
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