Morrey space techniques applied to the interior regularity problem of the Navier-Stokes equations

Authors
Chen, ZM Price, WG
Citation
Zm. Chen et Wg. Price, Morrey space techniques applied to the interior regularity problem of the Navier-Stokes equations, NONLINEARIT, 14(6), 2001, pp. 1453-1472
Citations number
31
Categorie Soggetti
Mathematics
Journal title
NONLINEARITY
ISSN journal
09517715 → ACNP
Volume
14
Issue
6
Year of publication
2001
Pages
1453 - 1472
Database
ISI
SICI code
0951-7715(200111)14:6<1453:MSTATT>2.0.ZU;2-G
Abstract
The incompressible and viscous fluid motion, governed by the evolutionary N avier-Stokes equations, is studied focusing on the application of Morrey sp ace techniques to the interior regularity problem first posed by Serrin (19 62 Arch. Rational Mech. Anal. 9 187-95) and later by Struwe (1988 Commun. P ure Appl. Math. 41 437-58). A new interior regularity criterion is derived within the framework of Morrey spaces, which contain L-p(L-q) spaces used i n the previously quoted references.