Asymptotic analysis for the 3D primitive equations in a channel
Makram Hamouda, Chang‐Yeol Jung, Roger Témam · Discrete and Continuous Dynamical Systems - S · 2012
In this article, we give an asymptotic expansion, with respect tothe viscosity which is considered here to be small, of the solutionsof the $3D$ linearized Primitive Equations (EPs) in a channel withlateral periodicity. A rigorous convergence result, in somephysically relevant space, is proven. This allows, among otherconsequences, to confirm the natural choice of thenon-local boundary conditions for the non-viscous PEs.