On the hydrostatic Stokes approximation with non homogeneous Dirichlet boundary conditions
Chérif Amrouche, Fabien Dahoumane, Robert Luce, Guy Vallet · Differential Equations & Applications · 2010
We deal with the hydrostatic Stokes approximation with non homogeneous Dirichlet boundary conditions. After having investigated the homogeneous case, we build a lifting operator of boundary values related to the divergence operator, and solve the non homogeneous problem in a cylindrical type domain.