A Note on Prodi–Serrin Conditions for the Regularity of a Weak Solution to the Navier–Stokes Equations

Author:

Maremonti Paolo

Publisher

Springer Science and Business Media LLC

Subject

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

Reference32 articles.

1. Bosia, S., Pata, V., Robinson, J.: A weak- $$L^p$$ L p Prodi–Serrin typew regularity criterion for the Navier–Stokes equations. J. Math. Fluid Mech. 16, 721–725 (2014)

2. 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)

3. Cheskidov, A., Friedlander, A., Shhvydkoy, R.: On the nervy equality for weak solutions of the 3D Navier-Stokes equations. In: Rannacher, R., Sequeira, A. (eds.) Advances in Mathematical Fluid Mechanics. Springer-Verlag, Berlin (2010)

4. Cheskidov, A., Constantin, P., Friedlander, A., Shhvydkoy, R.: Energy conservation and Onsager’s conjecture for the Euler equations. Nonlinearity 21, 1233–1252 (2008)

5. Crispo, F., Maremonti, P.: An interpolation inequality in exterior domains. Rend. Sem. Mat. Univ. Padova 112, 11–39 (2004)

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