This is not the latest version of this item. The latest version can be found here.
Nonlinear Stability of Ekman boundary layers
Nonlinear Stability of Ekman boundary layers
Date
2007
Authors
Hess, Matthias
Hieber, Matthias
Mahalov, Alex
Saal, Jürgen
Editors
Journal ISSN
Electronic ISSN
ISBN
Bibliographical data
Publisher
Series
Konstanzer Schriften in Mathematik und Informatik; 242
URI (citable link)
International patent number
Link to the license
EU project number
Project
Open Access publication
Collections
Title in another language
Publication type
Preprint
Publication status
Published in
Abstract
We consider the initial value problem for the three dimensional Navier-Stokes equations with rotation in the half-space subject to Dirichlet boundary conditions as well as the Ekman spiral which is a stationary solution to the above equations. It is proved that perturbed Ekman spirals are nonlinearly stable provided the corresponding Reynolds number is small enough. Moreover, the decay rate can be computed in terms of the decay of the corresponding linear problem.
Summary in another language
Subject (DDC)
510 Mathematics
Keywords
Partielle Differentialgleichungen,Randschichtprobleme,Partial differential equations,boundary layer problems,stability
Conference
Review
undefined / . - undefined, undefined. - (undefined; undefined)