A regularity result for stationary electrorheological fluids in two dimensions
A regularity result for stationary electrorheological fluids in two dimensions
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 …