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Asymptotic analysis for the 3D primitive equations in a channel

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  • 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.
    Mathematics Subject Classification: 35B25, 35C20, 76D05, 76N20.


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