RUS  ENG
Full version
JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2009 Volume 370, Pages 151–159 (Mi znsl3536)

This article is cited in 23 papers

A note on local boundary regularity for the Stokes system

G. A. Seregin

St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences, St. Petersburg, Russia

Abstract: In the present paper, local boundary regularity of weak solutions to the non-stationary Stokes system is studied. Under reasonable conditions, existence of the first derivative in time and the second spatial derivatives of the the velocity field and their higher integrability with respect to spatial variables are proved. Bibl. – 3 titles.

Key words and phrases: boundary regularity, Stokes system.

UDC: 517.9

Received: 20.09.2009

Language: English


 English version:
Journal of Mathematical Sciences (New York), 2010, 166:1, 86–90

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024