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On Depletion of the Vortex-Stretching Term in the 3D Navier-Stokes Equations

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Abstract:

Certain new cancellation properties in the vortex-stretching term are detected leading to new geometric criteria for preventing finite-time blow-up in the 3D Navier-Stokes equations.

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Authors and Affiliations

  1. Department of Statistics and Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA

    Anastasia Ruzmaikina

  2. Department of Mathematics, University of Virginia, Charlottesville, VA 22903, USA

    Zoran Grujić

Authors
  1. Anastasia Ruzmaikina
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  2. Zoran Grujić
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Correspondence to Zoran Grujić.

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Communicated by P. Constantin

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Ruzmaikina, A., Grujić, Z. On Depletion of the Vortex-Stretching Term in the 3D Navier-Stokes Equations. Commun. Math. Phys. 247, 601–611 (2004). https://doi.org/10.1007/s00220-004-1072-0

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  • DOI: https://doi.org/10.1007/s00220-004-1072-0

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