Analysis of the Navier-Stokes Equations for Geophysical Boundary Layers

By (author) Matthias Hess

Book cover: Analysis of the Navier-Stokes Equations for Geophysical Boundary Layers

Extent: 109 pages

Publisher: Logos Verlag Berlin

Subjects: Technical Sciences: Computer Science, Engineering, IT, & Math

Language: English

Paperback (Published)

(November 2009)

ISBN: 9783832523046

5.75 x 8.31 inches

Price: $51.00

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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

  • By (author) Matthias Hess

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