A necessary condition of potential blowup for the Navier–Stokes system in half-space

Author:

Barker T.,Seregin G.

Funder

Engineering and Physical Sciences Research Council

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference28 articles.

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

2. Calderon, C.P.: Existence of weak solutions for the Navier-Stokes equations with initial data in Lp. Trans. Am. Math. Soc. 318(1), 179–200 (1990)

3. Escauriaza, L., Seregin, G., Šverák, V.: $$L_{3,\infty }$$ L 3 , ∞ -solutions of Navier–Stokes equations and backward uniqueness. (Russian) Uspekhi Mat. Nauk 58(2)(350), 3–44 (2003) [translation in. Russ. Math. Surv. 58(2), 211–250 (2003)]

4. Koch, G., Gallagher, I., Planchon, F.: Blow-up of critical Besov norms at a potential Navier–Stokes singularity. Commun. Math. Phys. ISSN 0010-3616 (2016)

5. Giga, Y.: Solutions for semilinear parabolic equations in $$L_p$$ L p and regularity of weak solutions of the Navier- Stokes system. J. Differ. Equ. 62, 186–212 (1986)

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