Boundary Layers for the Subcritical Modes of the 3d Primitive Equations in a Cube
In this article we study the boundary layers for the subcritical modes of the viscous Linearized Primitive Equations (LPEs) in a cube at small viscosity. The boundary layers include the parabolic boundary layers, ordinary boundary layers, and their interaction-corner layers. The boundary layer correctors are determined by a phenomenological study reminiscent of the Prandtl corrector approach and then a rigorous convergence result is proved which a posteriori justifies the phenomenological study.
M. Hamouda et al., "Boundary Layers for the Subcritical Modes of the 3d Primitive Equations in a Cube," Journal of Differential Equations, vol. 267, no. 1, pp. 61-96, Academic Press Inc., Jun 2019.
The definitive version is available at https://doi.org/10.1016/j.jde.2019.01.005
Mathematics and Statistics
International Standard Serial Number (ISSN)
Article - Journal
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