Remarks on regularity criteria for the Navier-Stokes equations with axisymmetric data

Zujin Zhang. "Remarks on regularity criteria for the Navier-Stokes equations with axisymmetric data." Annales Polonici Mathematici 117.2 (2016): 181-196. <http://eudml.org/doc/286447>.

@article{ZujinZhang2016,
abstract = {We consider the axisymmetric Navier-Stokes equations with non-zero swirl component. By invoking the Hardy-Sobolev interpolation inequality, Hardy inequality and the theory of $*A_\{β\}$ (1 < β < ∞) weights, we establish regularity criteria involving $u^\{r\}$, $ω^\{z\}$ or $ω^\{θ\}$ in some weighted Lebesgue spaces. This improves many previous results.},
author = {Zujin Zhang},
journal = {Annales Polonici Mathematici},
keywords = {axisymmetric Savier-Stokes equations; regularity criteria},
language = {eng},
number = {2},
pages = {181-196},
title = {Remarks on regularity criteria for the Navier-Stokes equations with axisymmetric data},
url = {http://eudml.org/doc/286447},
volume = {117},
year = {2016},
}

TY - JOUR
AU - Zujin Zhang
TI - Remarks on regularity criteria for the Navier-Stokes equations with axisymmetric data
JO - Annales Polonici Mathematici
PY - 2016
VL - 117
IS - 2
SP - 181
EP - 196
AB - We consider the axisymmetric Navier-Stokes equations with non-zero swirl component. By invoking the Hardy-Sobolev interpolation inequality, Hardy inequality and the theory of $*A_{β}$ (1 < β < ∞) weights, we establish regularity criteria involving $u^{r}$, $ω^{z}$ or $ω^{θ}$ in some weighted Lebesgue spaces. This improves many previous results.
LA - eng
KW - axisymmetric Savier-Stokes equations; regularity criteria
UR - http://eudml.org/doc/286447
ER -