Asymptotic analysis for the 3D primitive equations in a channel
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- Asymptotic analysis for the 3D primitive equations in a channel
- Hamouda, Makram; Jung, Chang-Yeol; Temam, Roger
- Boundary layers; Primitive equations; Singular perturbation analysis
- Issue Date
- AMER INST MATHEMATICAL SCIENCES
- DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS - SERIES S, v.6, no.2, pp.401 - 422
- In this article, we give an asymptotic expansion, with respect to the viscosity which is considered here to be small, of the solutions of the 3D linearized Primitive Equations (EPs) in a channel with lateral periodicity. A rigorous convergence result, in some physically relevant space, is proven. This allows, among other consequences, to confirm the natural choice of the non- local boundary conditions for the non-viscous PEs.
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