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Solvability of a certain problem on the plane motion of two viscous incompressible fluids with free noncompact boundaries

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Abstract

The solvability of a certain two-dimensional boundary-value problem for the system of the Navier-Stokes equations, describing the steady (partially common) motion of two heavy viscous incompressible capillary fluids with free noncompact boundaries, is proved.

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Authors
  1. Yu. Sokolovski
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 163, pp. 146–153, 1987.

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Sokolovski, Y. Solvability of a certain problem on the plane motion of two viscous incompressible fluids with free noncompact boundaries. J Math Sci 49, 1212–1217 (1990). https://doi.org/10.1007/BF02208719

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  • DOI: https://doi.org/10.1007/BF02208719

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