Weak in Space, Log in Time Improvement of the Ladyženskaja–Prodi–Serrin Criteria

Author:

Bjorland Clayton,Vasseur Alexis

Publisher

Springer Science and Business Media LLC

Subject

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

Reference20 articles.

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2. Beirão da Veiga, H.: Concerning the regularity of the solutions to the Navier–Stokes equations via the truncation method. II. In: Équations aux dérivées partielles et applications, pp. 127–138. Gauthier-Villars, Éd. Sci. Méd. Elsevier, Paris (1998)

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. Chan C.H., Vasseur A.: Log improvement of the Prodi–Serrin criteria for Navier–Stokes equations. Methods Appl. Anal. 14(2), 197–212 (2007)

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.. Comm. Partial Differ. Equ. 34(1–3), 203–232 (2009)

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