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Solvability of some two-dimensional quasistationary free boundary problems for the Navier-Stokes equations with moving contact points

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Abstract

The paper is concerned with some quasistationary two-dimensional free boundary problems of viscous flow with moving contact points and with contact angle equal to π. A typical example of such a flow is filling a capillary tube in the presence of surface tension. The proof of the solvability of these problems is based on the analysis (made by the author and V. V. Pukhnachëv about 10 years ago) of the asymptotic formulas for the solutions of the Navier-Stokes equations in a neigborhood of contact points. Bibliography: 10 titles.

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Literature Cited

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Authors
  1. V. A. Solonnikov
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Additional information

Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 206, 1992, pp 119–126.

Translated by V. A. Solonnikov.

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Solonnikov, V.A. Solvability of some two-dimensional quasistationary free boundary problems for the Navier-Stokes equations with moving contact points. J Math Sci 80, 1951–1955 (1996). https://doi.org/10.1007/BF02367010

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  • DOI: https://doi.org/10.1007/BF02367010

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