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On Partial Regularity of Suitable Weak Solutions to the Three-Dimensional Navier—Stokes equations

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Abstract.

We prove a criterion of local Hölder continuity for suitable weak solutions to the Navier—Stokes equations. One of the main part of the proof, based on a blow-up procedure, has quite general nature and can be applied to other problems in spaces of solenoidal vector fields.

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Authors and Affiliations

  1. V. A. Steklov Mathematical Institute at St. Petersburg, Fontanka 27, 191011 St. Petersburg, Russia , , , , , , RU

    O. A. Ladyzhenskaya & G. A. Seregin

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  1. O. A. Ladyzhenskaya
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  2. G. A. Seregin
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Accepted: September 29, 1999.

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Ladyzhenskaya, O., Seregin, G. On Partial Regularity of Suitable Weak Solutions to the Three-Dimensional Navier—Stokes equations. J. math. fluid mech. 1, 356–387 (1999). https://doi.org/10.1007/s000210050015

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  • DOI: https://doi.org/10.1007/s000210050015

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