TY - JOUR
T1 - Logarithmically improved regularity criteria for the generalized Navier-Stokes and related equations
AU - Fan, Jishan
AU - Fukumoto, Yasuhide
AU - Zhou, Yong
PY - 2013
Y1 - 2013
N2 - In this paper, logarithmically improved regularity criteria for the generalized Navier-Stokes equations are established in terms of the velocity, vorticity and pressure, respectively. Here BMO, the Triebel-Lizorkin and Besov spaces are used, which extend usual Sobolev spaces much. Similar results for the quasi-geostrophic flows and the generalized MHD equations are also listed.
AB - In this paper, logarithmically improved regularity criteria for the generalized Navier-Stokes equations are established in terms of the velocity, vorticity and pressure, respectively. Here BMO, the Triebel-Lizorkin and Besov spaces are used, which extend usual Sobolev spaces much. Similar results for the quasi-geostrophic flows and the generalized MHD equations are also listed.
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U2 - 10.3934/krm.2013.6.545
DO - 10.3934/krm.2013.6.545
M3 - Article
AN - SCOPUS:84880962283
SN - 1937-5093
VL - 6
SP - 545
EP - 556
JO - Kinetic and Related Models
JF - Kinetic and Related Models
IS - 3
ER -