Title: Analysis of the Navier-Stokes Equations for Geophysical Boundary Layers
Publisher: Logos Verlag
Publication Date: 2009
Language: English
ISBN 10: 3832523049
ISBN 13: 9783832523046
Binding: Soft cover
Condition: As New

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Synopsis

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

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