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A regularity result for stationary electrorheological fluids in two dimensions

✍ Scribed by Michael Bildhauer; Martin Fuchs

Publisher: John Wiley and Sons
Year: 2004
Tongue: English
Weight: 113 KB
Volume: 27
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.527

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✦ Synopsis

Abstract

We prove C^1,α^‐regularity for the strong solution to a non‐linear system of partial differential equations modeling electrorheological fluids in the stationary case which has been constructed by Ettwein and Ettwein‐Růžička [Elektrorheologische Flüssigkeiten: Existenz starker Lösungen in zweidimensionalen Gebieten. Diplomarbeit, Universität Freiburg, 2002; Geometric Analysis and Nonlinear Partial Differential Equations, Hildebrandt S, Karcher H (eds). Springer: Berlin–Heidelberg–New York, 2003; 591–602]. Copyright © 2004 John Wiley & Sons, Ltd.

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