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.
Recommended Citation
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
Department(s)
Mathematics and Statistics
Research Center/Lab(s)
Center for High Performance Computing Research
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.
Publication Date
01 Jun 2019
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 ).