G. A. Seregin, V. Šverak, “On smoothness of suitable weak solutions to the Navier–Stokes equations”, Zap. Nauchn. Sem. POMI, 2003, Volume 306,Pages <nobr>186

This article is cited in 7 papers

On smoothness of suitable weak solutions to the Navier–Stokes equations

G. A. Seregin^a, V. Šverak^b

^a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
^b University of Minnesota, School of Mathematics

Abstract: We prove two sufficient conditions for local regularity of suitable weak solutions to the three-dimensional Navier–Stokes equations. One of them implies smoothness of $L_{3,\infty}$-solutions as a particular case.

UDC: 517.9

Received: 26.10.2003

Language: English