A Contribution to the Theory of Regularity of a Weak Solution to the Navier–Stokes Equations via One Component of Velocity and Other Related Quantities-Reference-Cited by-同舟云学术

A Contribution to the Theory of Regularity of a Weak Solution to the Navier–Stokes Equations via One Component of Velocity and Other Related Quantities

Published:2018-02-26 Issue:3 Volume:20 Page:1249-1267
ISSN:1422-6928
Container-title:Journal of Mathematical Fluid Mechanics
language:en
Short-container-title:J. Math. Fluid Mech.

Author:

Neustupa Jiří

Funder

Grantová Agentura C(eské Republiky

Publisher

Springer Science and Business Media LLC

Subject

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

Link

http://link.springer.com/article/10.1007/s00021-018-0365-6/fulltext.html

Reference23 articles.

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

2. Cao, C., Titi, E.: Regularity criteria for the three dimensional Navier–Stokes equations. Indiana Univ. Math. J. 57(6), 2643–2661 (2008)

3. Chemin, J.-Y., Zhang, P., Zhang, Z.: On the critical one component regularity for 3-D Navier–Stokes system: general case. Arch. Ration. Mech. Anal. 224(3), 871–905 (2017)

4. Farwig, R., Kozono, H., Sohr, H.: Criteria of local in time regularity of the Navier–Stokes equations beyond Serrin’s condition. Banach Center Publ., vol. 81, Parabolic and Navier–Stokes equations, Part 1, pp. 175–184, Warsaw (2008)

5. Galdi, G.P.: An Introduction to the Mathematical Theory of the Navier–Stokes Equations, 2nd edn. Springer, New York (2011)

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