Le Roux, Christiaan2018-10-182018-09Le Roux, C. 2018, 'Flows of incompressible viscous liquids with anisotropic wall slip', Journal of Mathematical Analysis and Applications, vol. 465, no. 2, pp. 723-730.0022-247X (print)1096-0813 (online)10.1016/j.jmaa.2018.05.020http://hdl.handle.net/2263/66947This paper deals with a boundary-value problem for the Stokes equations with a general direction-dependent Navier type slip boundary condition. This problem models the steady laminar flow of an incompressible linearly viscous liquid in a bounded domain with an impermeable rough boundary with variable and anisotropic roughness. It is proved that the problem has a unique weak solution.en© 2018 Elsevier Inc. All rights reserved. Notice : this is the author’s version of a work that was accepted for publication in Journal of Mathematical Analysis and Applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. A definitive version was subsequently published in Journal of Mathematical Analysis and Applications, vol. 465, no. 2, pp. 723-730, 2018. doi : 10.1016/j.jmaa.2018.05.020.Stokes equationsSlip boundary conditionRough boundarySlip lawEquationsInequalitiesKorn type inequalityStokes flowRough surfaceEffective boundary conditionsPostprint Article