Geodesic
Evolution of the interface of various fluids in nonhomogeneous layers
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 7, pp. 1269-1275

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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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     author = {D. N. Nikol'skiǐ},
     title = {Evolution of the interface of various fluids in nonhomogeneous layers},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     publisher = {mathdoc},
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     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_7_a8/}
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D. N. Nikol'skiǐ. Evolution of the interface of various fluids in nonhomogeneous layers. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 7, pp. 1269-1275. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_7_a8/