On equilibrium of pendant drop its flexural rigidity of intermediate layer being accounted for

Authors

  • Shcherbakov E.A. Kuban State University, Krasnodar, Российская Федерация
  • Shcherbakov M.E. Kuban State University, Krasnodar, Российская Федерация

UDC

517.5

Abstract

We consider equilibrium of the axisymmetric drop pending from horizontal plane in the gravity field. Variational principle is formulated. It takes into account the energy necessary for the formation of the intermediate layer whose flexural rigidity is also considered. We prove existence of the solution of this problem and show that it is a classical solution of the nonlinear equation representing Euler condition for it.

Keywords:

flexural rigidity, intermediate layer, contact angle, variational principle, Laplace-Beltrami operator, mean and Gauss curvature, generalized derivatives, Sobolev spaces, weak convergence

Author Info

Evgeniy A. Shcherbakov

д-р физ.-мат. наук, профессор кафедры теории функций Кубанского государственного университета

e-mail: echt@math.kubsu.ru

References

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Issue

2016. No. 3

Pages

87-94

Submitted

2016-09-07

Published

2016-09-30

How to Cite

Shcherbakov E.A., Shcherbakov M.E. On equilibrium of pendant drop its flexural rigidity of intermediate layer being accounted for. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2016, no. 3, pp. 87-94.

Copyright (c) 2016 Shcherbakov E.A., Shcherbakov M.E.

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