ON THE TRACTION PROBLEM FOR THE STOKES SYSTEM

Giulio Starita, Alfonsina Tartaglione · Mathematical Models and Methods in Applied Sciences · 2002

The traction problem for the Stokes system is studied in the framework of the theory of the hydrodynamical potentials. Existence theorems and integral representations of classical solutions are given for domains having not connected boundary of class C1,α in both the bounded and exterior cases. Finally, a maximum modulus theorem is derived for the traction field in the direction of the normal to the boundary.

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