A Note on Local Regularity of Axisymmetric Solutions to the Navier–Stokes Equations-Reference-Cited by-同舟云学术

A Note on Local Regularity of Axisymmetric Solutions to the Navier–Stokes Equations

Published:2022-02 Issue:1 Volume:24 Page:
ISSN:1422-6928
Container-title:Journal of Mathematical Fluid Mechanics
language:en
Short-container-title:J. Math. Fluid Mech.

Author:

Seregin G.^ORCID

Abstract

AbstractIn the paper, a new slightly supercritical condition, providing local regularity of axially symmetric solutions to the non-stationary 3D Navier-Stokes equations, is discussed. It generalises almost all known results in the local regularity theory of weak axisymmetric solutions.

Funder

RFBR

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Condensed Matter Physics,Mathematical Physics

Link

https://link.springer.com/content/pdf/10.1007/s00021-022-00667-6.pdf

Reference25 articles.

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3. Chen, C., Fang, D., Zhang, T.: Regularity of 3D axisymmetric Navier-Stokes equations. Discr. Contin. Dyn. Sys. - A 37(4), 1923–1939 (2017)