The local regularity conditions for the Navier–Stokes equations via one directional derivative of the velocity
Author:
Publisher
Springer Science and Business Media LLC
Subject
General Mathematics
Link
https://link.springer.com/content/pdf/10.1007/s10986-022-09573-w.pdf
Reference26 articles.
1. L. Caffarelli, R. Kohn, and L. Nirenberg, Partial regularity of suitable weak solutions of the Navier–Stokes equations, Commun. Pure Appl. Math., 35(6):771–831, 1982.
2. C. Cao, Sufficient conditions for the regularity to the 3D Navier–Stokes equations, Discrete Contin. Dyn. Syst., 26(4): 1141–1151, 2010.
3. C. Cao and E.S. Titi, Global regularity criterion for the 3D Navier–Stokes equations involving one entry of the velocity gradient tensor, Arch. Ration. Mech. Anal., 202(3):919–932, 2011.
4. J.-Y. Chemin, I. Gallagher, and P. Zhang, Some remarks about the possible blow-up for the Navier–Stokes equations, Commun. Partial Differ. Equations, 44(12):1387–1405, 2019.
5. J.-Y. Chemin, P. Zhang, and Z. Zhang, On the critical one component regularity for 3-D Navier–Stokes system: General case, Arch. Ration. Mech. Anal., 224(3):871–905, 2017.
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