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We study the regularity criterion for the Navier‐Stokes equations and show that the (β1,β2,β3)‐Hölder continuity assumption in (x1,x2,x3) on the direction of the vorticity ensures the regularity of the solution.… Click to show full abstract
We study the regularity criterion for the Navier‐Stokes equations and show that the (β1,β2,β3)‐Hölder continuity assumption in (x1,x2,x3) on the direction of the vorticity ensures the regularity of the solution. This may be viewed as an extension of many previous results, since some of the βi can be arbitrarily small.
Keywords:
navier stokes;
stokes equations;
regularity criterion;
criterion navier;
direction vorticity
Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2019
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Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!