English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We derive effective wall-laws for Stokes systems with inhomogeneous boundaryconditions in three dimensional bounded domains with curved rough boundaries.No-slip boundary condition is given on the locally periodic rough boundaryparts with characteristic roughness size $\epsilon$ and boundary data isassumed to be supported in the nonoscillatory smooth boundary.  Based on the analysis of a boundary layer cell problem depending on geometryof the fictitious boundary and roughness shape, boundary layer approximationsare constructed using orthogonal tangential vectors and normal vector on thefictitious boundary, which have $O(\epsilon^{3/2})$-order in $L^2$-norm and$O(\epsilon)$-order in energy-norm. Then, a Navier wall-law with errorestimates of $O(\epsilon^{3/2})$-order in $L^2$-norm and $O(\epsilon)$-order in$W^{1,1}$-norm is obtained, which is proved to be irrespective of the choice ofthe orthogonal tangent vectors.

Effective wall-laws for the Stokes equations over curved rough boundaries