On regularity and singularity for $$L^{\infty }(0,T;L^{3,w}(\mathbb {R}^3))$$ solutions to the Navier–Stokes equations-Reference-Cited by-同舟云学术

On regularity and singularity for $$L^{\infty }(0,T;L^{3,w}(\mathbb {R}^3))$$ solutions to the Navier–Stokes equations

Published:2019-05-20 Issue:1-2 Volume:377 Page:617-642
ISSN:0025-5831
Container-title:Mathematische Annalen
language:en
Short-container-title:Math. Ann.

Author:

Choe Hi Jun,Wolf Jörg,Yang Minsuk^ORCID

Funder

National Research Foundation of Korea

Deutsche Forschungsgemeinschaft

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s00208-019-01843-2.pdf

Reference23 articles.

1. Leray, J.: Sur le mouvement d’un liquide visqueux emplissant l’espace. Acta Math. 63(1), 193–248 (1934)

2. Hopf, E.: Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Math. Nachr. 4, 213–231 (1951)

3. Ladyženskaja, O.: Uniqueness and smoothness of generalized solutions of Navier-Stokes equations. Zap. Naučn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 5, 169–185 (1967)

4. Prodi, G.: Un teorema di unicità per le equazioni di Navier-Stokes. Ann. Mat. Pura Appl. 4(48), 173–182 (1959)

5. Serrin, J.: The initial value problem for the Navier-Stokes equations. Nonlinear Problems (Proc. Sympos., Madison, Wis., 69–98 (1962)

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Higher integrability and the number of singular points for the Navier–Stokes equations with a scale-invariant bound;Proceedings of the American Mathematical Society, Series B;2024-09-12

2. Note on Leray’s criterion for Navier–Stokes singularity;Nonlinear Analysis;2022-08

3. Quantitative Regularity for the Navier–Stokes Equations Via Spatial Concentration;Communications in Mathematical Physics;2021-06-14

4. Velocity–pressure correlation in Navier–Stokes flows and the problem of global regularity;Journal of Fluid Mechanics;2021-01-25

5. $$\varepsilon $$-Regularity criteria for the 3D Navier–Stokes equations in Lorentz spaces;Journal of Evolution Equations;2020-11-05