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Regularity in Sobolev spaces of steady flows of fluids with shear-dependent viscosity

✍ Scribed by Carsten Ebmeyer

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
201 KB
Volume
29
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

The system
is considered on a bounded three‐dimensional domain under no‐stick boundary value conditions, where S has p‐structure for some p<2 and D(u) is the symmetrized gradient of u. Various regularity results for the velocity u and the pressure Ο€ in fractional order Sobolev and Nikolskii spaces are obtained. Copyright Β© 2006 John Wiley & Sons, Ltd.

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