Interior regularity criteria for suitable weak solutions of the Navier-Stokes equations

Stephen Gustafson, Kyungkeun Kang, Tai Peng Tsai

Research output: Contribution to journalArticle

53 Citations (Scopus)

Abstract

We present new interior regularity criteria for suitable weak solutions of the 3-D Navier-Stokes equations: a suitable weak solution is regular near an interior point z if either the scaled Lp,qx,t -norm of the velocity with 3/p+2/q ≤ 2, 1 ≤ q ≤ ∞, or the L p,qx,t-norm of the vorticity with 3/p+2/q ≤ 3, 1 ≤ q < ∞, or the Lp,qx,t -norm of the gradient of the vorticity with 3/p+2/q ≤ 4, 1 ≤ q, 1 ≤ p, is sufficiently small near z.

Original languageEnglish
Pages (from-to)161-176
Number of pages16
JournalCommunications in Mathematical Physics
Volume273
Issue number1
DOIs
Publication statusPublished - 2007 Jul 1

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Suitable Weak Solutions
Regularity Criterion
T-norm
norms
regularity
Navier-Stokes equation
Navier-Stokes Equations
Interior
Vorticity
vorticity
Interior Point
3D
Gradient
gradients

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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Interior regularity criteria for suitable weak solutions of the Navier-Stokes equations. / Gustafson, Stephen; Kang, Kyungkeun; Tsai, Tai Peng.

In: Communications in Mathematical Physics, Vol. 273, No. 1, 01.07.2007, p. 161-176.

Research output: Contribution to journalArticle

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