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.
Recommended Citation
M. Hamouda et al., "Boundary Layers for the 3D Primitive Equations in a Cube: The Zero-Mode," Journal of Applied Analysis and Computation, vol. 8, no. 3, pp. 873 - 889, Shanghai Normal University and Wilmington Scientific Publisher, Jun 2018.
The definitive version is available at https://doi.org/10.11948/2018.873
Department(s)
Mathematics and Statistics
Research Center/Lab(s)
Center for High Performance Computing Research
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.
Publication Date
01 Jun 2018
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).