On the conditional regularity of the Navier-Stokes and related equations

Dongho Chae. "On the conditional regularity of the Navier-Stokes and related equations." Banach Center Publications 74.1 (2006): 117-126. <http://eudml.org/doc/282131>.

@article{DonghoChae2006,
abstract = {We present regularity conditions for a solution to the 3D Navier-Stokes equations, the 3D Euler equations and the 2D quasigeostrophic equations, considering the vorticity directions together with the vorticity magnitude. It is found that the regularity of the vorticity direction fields is most naturally measured in terms of norms of the Triebel-Lizorkin type.},
author = {Dongho Chae},
journal = {Banach Center Publications},
keywords = {regularity condition; Navier-Stokes equations; Euler equations; quasi-geostrophic equations},
language = {eng},
number = {1},
pages = {117-126},
title = {On the conditional regularity of the Navier-Stokes and related equations},
url = {http://eudml.org/doc/282131},
volume = {74},
year = {2006},
}

TY - JOUR
AU - Dongho Chae
TI - On the conditional regularity of the Navier-Stokes and related equations
JO - Banach Center Publications
PY - 2006
VL - 74
IS - 1
SP - 117
EP - 126
AB - We present regularity conditions for a solution to the 3D Navier-Stokes equations, the 3D Euler equations and the 2D quasigeostrophic equations, considering the vorticity directions together with the vorticity magnitude. It is found that the regularity of the vorticity direction fields is most naturally measured in terms of norms of the Triebel-Lizorkin type.
LA - eng
KW - regularity condition; Navier-Stokes equations; Euler equations; quasi-geostrophic equations
UR - http://eudml.org/doc/282131
ER -