Regularity Criteria for Weak Solutions to the Navier–Stokes Equations in Terms of Spectral Projections of Vorticity and Velocity-Reference-Cited by-同舟云学术

Regularity Criteria for Weak Solutions to the Navier–Stokes Equations in Terms of Spectral Projections of Vorticity and Velocity

Published:2022-09-27 Issue:4 Volume:24 Page:
ISSN:1422-6928
Container-title:Journal of Mathematical Fluid Mechanics
language:en
Short-container-title:J. Math. Fluid Mech.

Author:

Neustupa Jiří^ORCID,Penel Patrick,Yang Minsuk

Funder

Grantová Agentura České Republiky

National Research Foundation of Korea

Matematický ústav České Akademie věd

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/s00021-022-00728-w.pdf

Reference17 articles.

1. Beirão da Veiga, H.: Concerning the regularity problem for the solutions of the Navier–Stokes equations. C.R. Acad. Sci. Paris 321(Série I), 405–408 (1995)

2. Birman, M.S., Solomyak, M.Z.: Spectral Theory of Self-Adjoint Operators in Hilbert Space. D. Reidel Publishing Company, Dordrecht (1987)

3. 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)

4. Chae, D., Choe, H. J.: Regularity of solutions to the Navier–Stokes equations. Electronic J. Differ. Equ., 7 (1999)

5. Farwig, R., Neustupa, J.: On the spectrum of a Stokes-type operator arising from flow around a rotating body. Manuscripta Math. 122, 419–437 (2007)

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