Title

Boundary Layers for the 3D Primitive Equations in a Cube: The Zero-Mode

Abstract

We establish the vanishing viscosity limit of the zero-mode of the linearized Primitive Equations in a cube. Our method is based on the explicit construction and estimates of the boundary layers. This result, together with that in [12, 15], allows us to conclude the vanishing viscosity limit of the linearized Primitive Equations in a cube.

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(2015R1D1A1A01059837) and the Research Fund (1.170045.01) of UNIST(Ulsan National Institute of Science & Technology).

Keywords and Phrases

Boundary layer; Primitive equations; Vanishing viscosity limit; Zero-mode

International Standard Serial Number (ISSN)

2156-907X

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2018 Shanghai Normal University and Wilmington Scientific Publisher, All rights reserved.

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