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 |
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All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
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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 journal › Article
TY - JOUR
T1 - Interior regularity criteria for suitable weak solutions of the Navier-Stokes equations
AU - Gustafson, Stephen
AU - Kang, Kyungkeun
AU - Tsai, Tai Peng
PY - 2007/7/1
Y1 - 2007/7/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=34248574032&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=34248574032&partnerID=8YFLogxK
U2 - 10.1007/s00220-007-0214-6
DO - 10.1007/s00220-007-0214-6
M3 - Article
AN - SCOPUS:34248574032
VL - 273
SP - 161
EP - 176
JO - Communications in Mathematical Physics
JF - Communications in Mathematical Physics
SN - 0010-3616
IS - 1
ER -