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Evolution of a liquid-liquid interface in inhomogeneous layers

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Abstract

The basic system of integral and differential equations is obtained that describes the evolution of a liquid-liquid interface in inhomogeneous ground layers such that the square root of their conductivity is described by a metaharmonic function. A discrete scheme for the basic system of equations is constructed using the method of discrete vortex pairs.

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Authors and Affiliations

  1. Orel State University, Komsomol’skaya ul. 95, Orel, 302026, Russia

    D. N. Nikol’skii

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  1. D. N. Nikol’skii
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Correspondence to D. N. Nikol’skii.

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Original Russian Text © D.N. Nikol’skii, 2010, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2010, Vol. 50, No. 7, pp. 1269–1275.

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Nikol’skii, D.N. Evolution of a liquid-liquid interface in inhomogeneous layers. Comput. Math. and Math. Phys. 50, 1205–1211 (2010). https://doi.org/10.1134/S0965542510070092

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