A Liouville theorem for Axi-symmetric Navier–Stokes equations on $${\mathbb {R}}^2 \times {\mathbb {T}}^1$$-Reference-Cited by-同舟云学术

A Liouville theorem for Axi-symmetric Navier–Stokes equations on $${\mathbb {R}}^2 \times {\mathbb {T}}^1$$

Published:2021-01-17 Issue: Volume: Page:
ISSN:0025-5831
Container-title:Mathematische Annalen
language:en
Short-container-title:Math. Ann.

Author:

Lei Zhen^ORCID,Ren Xiao,Zhang Qi S.

Funder

NSFC

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s00208-020-02128-9.pdf

Reference21 articles.

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2. Beirão da Veiga, H., Giga, Y., Grujić, Z.: Vorticity direction and regularity of solutions to the Navier–Stokes equations, Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, 901 – 932, Springer, Cham (2018)

3. Caffarelli, L., Kohn, R., Nirenberg, L.: Partial regularity of suitable weak solutions of the Navier–Stokes equations. Commun. Pure Appl. Math. 35(6), 771–831 (1982)

4. Chen, C.-C., Strain, R.M., Yau, H.-T., Tsai, T.-P.: Lower bound on the blow-up rate of the axisymmetric Navier–Stokes equations. International Mathematics Research Notices. IMRN, 8(artical ID rnn016, 31 pp), (2008)

5. Chen, C.-C., Strain, R.M., Tsai, T.-P., Yau, H.-T.: Lower bounds on the blow-up rate of the axisymmetric Navier–Stokes equations. II. Commun. Partial Differ. Equ. 34(1–3), 203–232 (2009)

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