Sur les petites oscillations d'une goutte de liquide catenoidale entre deux plaques paralleles en apesanteur

摘要

This paper deals with the mathematical study of the problem of the small oscillations of a liquid drop with a free surface held together by surface tension between two parallel plates with free conlacl line, the contact angle being constant, under zero gravity, in the case of a catenoidal liquid drop in the equilibrium position. Using a functional method, we find again, at first, a condition of stability and, then, we obtain a vanational formulation of the problem by means of which we prove the existence of the eigenfrequcncies of the small oscillations of the liquid.