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 Zap. Nauchn. Sem. POMI, 2018, Volume 477, Pages 87–111 (Mi znsl6738)

Some remarks on the partial regularity of a suitable weak solution to the Navier–Stokes Cauchy problem

F. Crispo, P. Maremonti

Dipartimento di Matematica e Fisica, Università degli Studi della Campania Luigi Vanvitelli'', via Vivaldi 43, 81100 Caserta, Italy

Abstract: The aim of the paper is to investigate on some questions of local regularity of a suitable weak solution to the Navier–Stokes Cauchy problem. The results are obtained in the wake of the ones, well known, by Caffarelli–Kohn–Nirenberg.

Key words and phrases: Navier–Stokes equations, suitable weak solutions, partial regularity.

 Funding Agency Grant Number Ministero dell'Istruzione, dell'Università e della Ricerca Istituto Nazionale di Alta Matematica "Francesco Severi" The research is performed under the auspices of the group GNFM-INdAM and is partially supported by MIUR via the PRIN 2017 Hyperbolic Systems of Conservation Laws and Fluid Dynamics: Analysis and Applications''. The research activity of F. Crispo is also supported by GNFM-INdAM via Progetto Giovani 2017.

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Citation: F. Crispo, P. Maremonti, “Some remarks on the partial regularity of a suitable weak solution to the Navier–Stokes Cauchy problem”, Boundary-value problems of mathematical physics and related problems of function theory. Part 47, Zap. Nauchn. Sem. POMI, 477, POMI, St. Petersburg, 2018, 87–111

Citation in format AMSBIB
\Bibitem{CriMar18} \by F.~Crispo, P.~Maremonti \paper Some remarks on the partial regularity of a suitable weak solution to the Navier--Stokes Cauchy problem \inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~47 \serial Zap. Nauchn. Sem. POMI \yr 2018 \vol 477 \pages 87--111 \publ POMI \publaddr St.~Petersburg \mathnet{http://mi.mathnet.ru/znsl6738}