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Existence of global solutions for a parabolic system related to the nonlinear Stokes problem

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Abstract

An initial boundary value problem describing a nonlinear variant of the nonstationary Stokes equation is considered. The existence of a (unique) global solution with Galerkin-type arguments is proved. This result is not new, but the method can be viewed as an alternative to the techniques presented, for example, in [7]. Bibliography: 8 titles.

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Authors and Affiliations

  1. Fachbereich 6.1 Mathematik, Universität des Saarlandes, Saarbrücken, Germany

    M. Fuchs

  2. St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg, Russia

    G. A. Seregin

Authors
  1. M. Fuchs
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  2. G. A. Seregin
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Correspondence to M. Fuchs.

Additional information

Published in Zapiski Nauchnykh Seminarov POMI, Vol. 348, 2007, pp. 254–271.

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Fuchs, M., Seregin, G.A. Existence of global solutions for a parabolic system related to the nonlinear Stokes problem. J Math Sci 152, 769–779 (2008). https://doi.org/10.1007/s10958-008-9088-1

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  • DOI: https://doi.org/10.1007/s10958-008-9088-1

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