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Variational problems on the contact of heterogeneous phases

  • Proceedings of the XVIII St. Petersburg Readings on the Problems of Crystal Strength and Growth Dedicated to the Memory of A.V. Stepanov
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Bulletin of the Russian Academy of Sciences: Physics Aims and scope

Abstract

The variational formulation of general problems of capillary surface equilibrium (problems on a drop on a solid surface, drop on the surface of a drop of another liquid, partly faceted capillary surface) is considered. For the problem of a partly faceted capillary surface, the Legendre transformation between the equilibrium form and surface energy density is used.

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Correspondence to N. E. Galaktionova.

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Original Russian Text © N.E. Galaktionova, E.V. Galaktionov, E.A. Tropp, 2009, published in Izvestiya Rossiiskoi Akademii Nauk. Seriya Fizicheskaya, 2009, Vol. 73, No. 10, pp. 1393–1397.

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Galaktionova, N.E., Galaktionov, E.V. & Tropp, E.A. Variational problems on the contact of heterogeneous phases. Bull. Russ. Acad. Sci. Phys. 73, 1315–1319 (2009). https://doi.org/10.3103/S1062873809100025

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  • DOI: https://doi.org/10.3103/S1062873809100025

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