Title

Boundary Layers for the Subcritical Modes of the 3d Primitive Equations in a Cube

Abstract

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.

Department(s)

Mathematics and Statistics

Comments

This work was supported in part by NSF Grants DMS1510249 , and by the Research Fund of Indiana University . Chang-Yeol Jung was supported by the Basic Science Research Program through the National Research Foundation of Korea funded by the Ministry of Education ( 2018R1D1A1B07048325 ).

International Standard Serial Number (ISSN)

0022-0396

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2019 Academic Press Inc., All rights reserved.

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