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Initial boundary-value problems with a free surface condition for the modified Navier-Stokes equations

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Abstract

In this paper, we study the global classical solvability on the semiaxist∈ℝ+ of the second initial boundary-value problem with free surface condition (0.1) for the following modified Navier-Stokes equations: Eqs. (0.3) of Ladyzhenskaya, Eqs. (0.4) of Jeffrey-Oldroyd fluids, Eqs. (0.5) of Kelvin-Voight fluids, Eqs. (0.6) of aqueous solutions of polymers. Bibliography: 31 titles.

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Authors
  1. A. P. Oskolkov
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Additional information

Dedicated to V. A. Solonnikov on his sixtieth anniversary

Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 213, 1994, pp. 93–115.

Translated by N. A. Karazeeva.

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Oskolkov, A.P. Initial boundary-value problems with a free surface condition for the modified Navier-Stokes equations. J Math Sci 84, 873–887 (1997). https://doi.org/10.1007/BF02399939

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  • DOI: https://doi.org/10.1007/BF02399939

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