doi: 10.1685/2010CAIM564

On the Stokes problem with slip boundary conditions

Alfonsina Tartaglione

Abstract


In this paper a slip problem associated to the Stokes system is considered, where a linear combination of the tangential components of the velocity and the traction is prescribed on the boundary. Existence and uniqueness theorems are proved for bounded or exterior Lipschitz domains of ℝ n (n=2,3) by the methods of the potential theory.


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Communications in Applied and Industrial Mathematics
ISSN: 2038-0909