Analysis of the Navier-Stokes Equations for Geophysical Boundary Layers
Author | : Matthias Heß |
Publisher | : |
Total Pages | : 0 |
Release | : 2009-11-30 |
ISBN-10 | : 3832523049 |
ISBN-13 | : 9783832523046 |
Rating | : 4/5 (046 Downloads) |
Download or read book Analysis of the Navier-Stokes Equations for Geophysical Boundary Layers written by Matthias Heß and published by . This book was released on 2009-11-30 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Navier-Stokes equations are the fundamental model for the mathematical analysis of incompressible viscous fluids. In this text, a modification of this system of partial differential equations representing the situation of geophysical flows is investigated. An important mathematical model of geophysical boundary layers is the Ekman spiral, which is a stationary solution of the modified Navier-Stokes equations. Its long-time behaviour is of certain interest in natural sciences. Here, the stability of the Ekman spiral is shown in three-dimensional halfspaces and infinite layers in the case of a small Reynolds number of the according hydrodynamical system. The problem of maximal regularity of the Stokes operator in bounded and exterior domains with smooth boundary is also discussed