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Interior Regularity for Solutions to the Modified Navier—Stokes Equations

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Abstract.

We discuss interior regularity of solutions to the three-dimensional modified Navier—Stokes equations. In particular, we formulate sufficient conditions that guarantee the local Hölder continuity of the velocity gradient.

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Authors and Affiliations

  1. V. A. Steklov Institute of Mathematics at Saint-Petersburg, Fontanka 27, St. Petersburg 191011, Russia, e-mail: seregin@pdmi.ras.ru, , , , , , RU

    G. A. Seregin

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  1. G. A. Seregin
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Accepted: April 10, 1999.

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Seregin, G. Interior Regularity for Solutions to the Modified Navier—Stokes Equations. J. math. fluid mech. 1, 235–281 (1999). https://doi.org/10.1007/s000210050011

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  • DOI: https://doi.org/10.1007/s000210050011

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