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Regularity results for the quasi–static Bingham variational inequality in dimensions two and three

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Abstract.

We consider the variational inequality describing the stationary flow of a Bingham type fluid in bounded domains. Differentiability properties of weak solutions in suitable energy spaces providing existence theorems are studied. We suppose that the volume forces belong to classes of Morrey type and generalize our previous regularity results concerning slow, steady–state flow of Bingham fluids.

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Authors and Affiliations

  1. Universität des Saarlandes, Fachbereich 9 Mathematik, D-66123 Saarbrücken, Germany , , , , , , DE

    Martin Fuchs

  2. V.A. Steklov Mathematical Institute, St. Petersburg Branch, Fontanka 27, St. Petersburg, 191911, Russia , , , , , , RU

    Gregory Seregin

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  1. Martin Fuchs
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  2. Gregory Seregin
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Received: 12 February 1996; in final form 16 July 1996

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Fuchs, M., Seregin, G. Regularity results for the quasi–static Bingham variational inequality in dimensions two and three. Math Z 227, 525–541 (1998). https://doi.org/10.1007/PL00004390

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  • DOI: https://doi.org/10.1007/PL00004390

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