Regularity of a Suitable Weak Solution to the Navier-Stokes Equations as a Consequence of Regularity of One Velocity Component

Jiří Neustupa and Patrick Penel

A chapter in Applied Nonlinear Analysis, 2002, pp 391-402 from Springer

Abstract: Abstract We show that if (v; p) is a suitable weak solution to the Navier-Stokes equations (in the sense of L. Caffarelli, R. Kohn & L. Nirenberg - see [1]) such that v3 (the third component of v) is essentially bounded in a subdomain D of a time-space cylinder Q T then v has no singular points in D.

Keywords: Navier-Stokes equations; weak solutions; regularity (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-306-47096-7_26

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DOI: 10.1007/0-306-47096-9_26

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