Boundary layers for the 3D primitive equations in a cube: The supercritical modes. (February 2016)

• Record Type: Journal Article
• Authors: Hamouda, Makram; Jung, Chang-Yeol; Temam, Roger
• Is Part Of: Nonlinear analysis. Volume 132(2016)
• Page Start: 288
• Page End: 317
• Publication Date: 2016-02
• Subjects: Corner boundary layers -- Primitive equations -- Non-local boundary conditions; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2015.11.007
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this article we study the boundary layers for the viscous Linearized Primitive Equations (LPEs) when the viscosity is small. The LPEs are considered here in a cube. Besides the usual boundary layers that we analyze here too, corner layers due to the interaction between the different boundary layers are also studied.