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New Sufficient Conditions of Local Regularity for Solutions to the Navier–Stokes Equations

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Abstract.

New sufficient conditions of local regularity for suitable weak solutions to the non-stationary three-dimensional Navier–Stokes equations are proved. They contain the celebrated Caffarelli–Kohn–Nirenberg theorem as a particular case.

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Authors and Affiliations

  1. Arizona State University, Arizona, USA

    A. Mahalov & B. Nicolaenko

  2. Steklov Institute of Mathematics at St. Petersburg, St. Peterburg, Russia

    G. Seregin

Authors
  1. A. Mahalov
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  2. B. Nicolaenko
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  3. G. Seregin
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Communicated by V. A. Solonnikov

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Mahalov, A., Nicolaenko, B. & Seregin, G. New Sufficient Conditions of Local Regularity for Solutions to the Navier–Stokes Equations. J. math. fluid mech. 10, 106–125 (2008). https://doi.org/10.1007/s00021-006-0220-z

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  • DOI: https://doi.org/10.1007/s00021-006-0220-z

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