Abstract: | We consider the evolution of small three-dimensional perturbations of an accelerated thin liquid layer. The analytical solutions
obtained correspond to various types of initial perturbations: in the form of a layer, in the initial velocities, and in the
thickness of the layer. Depending on the dimensionless parameters which characterize the initial data, the perturbations can
increase exponentially with time, remain bounded, and change the phase.
Institute of Experimental Physics, Sarov 607200. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 40, No.
1, pp. 3–9, January–February, 1999. |