Boundary Layer Study for an Ocean Related System with a Small Viscosity Parameter

2019/03/21 by Wenshu Zhou, Xulong Qin, Zhou, Wenshu +5
Computer Science · Mathematics · #35L50 #47D06 #76D10 #76N20 #86A05 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Navier-Stokes equation solutions #math.AP #msc:35L50 #msc:47D06 #msc:76D10 #msc:76N20 #msc:86A05

paper · pdf · doi:10.48550/arxiv.1903.09234

7 pages

arxiv created 2019/03/21 · openalex publication_date 2019/03/21 · arxiv updated 2019/03/25 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

We study an ocean related system with a small viscosity parameter, which is the linearized version of the modified Primitive Equations. As the parameter goes to zero, a L^∞ convergence result is obtained together with the estimation on the thickness of the boundary layer.

Related

• Geometry-dependent Ekman layer approximations on curved domains: L^∞ convergence
• The primitive equations as the small aspect ratio limit of the Navier-Stokes equations: rigorous justification of the hydrostatic approximation
• Modeling the Coastal Ocean over a Time Period of Several Weeks
• Linear waves and baroclinic instability in an inhomogeneous-density layered primitive-equation ocean model
• Boundary layers and the vanishing viscosity limit for incompressible 2D flow