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 language | English |
|---|---|
| Pages (from-to) | 161-176 |
| Number of pages | 16 |
| Journal | Communications in Mathematical Physics |
| Volume | 273 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2007 Jul 1 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
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Gustafson, S., Kang, K., & Tsai, T. P. (2007). Interior regularity criteria for suitable weak solutions of the Navier-Stokes equations. Communications in Mathematical Physics, 273(1), 161-176. https://doi.org/10.1007/s00220-007-0214-6