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

• Autorzy: Zujin Zhang
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 76D03: Existence, uniqueness, and regularity theory
• 35Q35: PDEs in connection with fluid mechanics
• 35B65: Smoothness and regularity of solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2016
• Tom: 117
• Numer: 2
• Strony: 181-196

Daty

wydano

2016

Twórcy

autor

Zujin Zhang

• School of Mathematics and Computer Sciences, Gannan Normal University, Ganzhou 341000, Jiangxi, P.R. China

Identyfikatory

DOI

10.4064/ap3856-3-2016