Geostrophic asymptotics of the primitive equations of the atmosphere
type: Item
instance of: scholarly article
title: Geostrophic asymptotics of the primitive equations of the atmosphere
zbMATH Open document ID: 0846.35106
DOI: 10.12775/TMNA.1994.030
author: R. Temam
author: Shouhong Wang
author: Jacques-Louis Lions
published in: Topological Methods in Nonlinear Analysis
publication date: 1995-12-20T00:00:00Z
review text: Due to the fact that the vertical scale of the atmosphere is much smaller than the horizontal one, the vertical momentum equation of the general equations of motion of the atmosphere can be approximated by the hydrostatic equation. This leads to the primitive equations of the atmosphere. If the viscosity terms are retained in the vertical momentum equation these equations are called primitive equations with vertical viscosity. The paper justifies the Rossby adjustment for these equations. This adjustment describes the behaviour of the atmosphere under action of the Coriolis force and explains why atmosphere and ocean are always close to geostrophic equilibrium.
reviewed by: Thomas Sonar
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 86A10
zbMATH DE Number: 828285
zbMATH Keywords: atmospheric modelling
zbMATH Keywords: Rossby adjustment
zbMATH Keywords: primitive equation
MaRDI profile type: Publication
full work available at URL: tmna.1994.030
OpenAlex ID: W2576543035
description: scientific article; zbMATH DE number 828285