Jean-Yves Chemin, Benoit Desjardins, Isabelle Gallagher

Mathematical Geophysics

An Introduction to Rotating Fluids and the Navier-Stokes Equations

• Gebundenes Buch

Produktbeschreibung

Aimed at graduate students, researchers and academics in mathematics, engineering, oceanography, meteorology, and mechanics, this text provides a detailed introduction to the physical theory of rotating fluids, a significant part of geophysical fluid dynamics. The text is divided into four parts, with the first part providing the physical background of the geophysical models to be analyzed. Part two is devoted to a self contained proof of the existence of weak (or strong) solutions to the imcompressible Navier-Stokes equations. Part three deals with the rapidly rotating Navier-Stokes equations, first in the whole space, where dispersion effects are considered. The case where the domain has periodic boundary conditions is then analyzed, and finally rotating Navier-Stokes equations between two plates are studied, both in the case of periodic horizontal coordinated and those in R2. In Part IV, the stability of Ekman boundary layers and boundary layer effects in magnetohydrodynamics and quasigeostrophic equations are discussed. The boundary layers which appear near vertical walls are presented and formally linked with the classical Prandlt equations. Finally spherical layers are introduced, whose study is completely open.

---

Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.

Produktdetails

• Verlag: Hurst & Co.
• Seitenzahl: 264
• Erscheinungstermin: 15. Juni 2006
• Englisch
• Abmessung: 235mm x 161mm x 20mm
• Gewicht: 540g
• ISBN-13: 9780198571339
• ISBN-10: 019857133X
• Artikelnr.: 22245277

Autorenporträt

Jean-Yves Chemin is a Professor at the University of Paris VI Benoit Desjardins is based at the Centre of Atomic Studies centre de Bruyers le Chatel Isabelle Gallagher is a Professor at the Institut de Mathématiques de Jussieu Emmanuel Greiner is based at the École Normale Superiore de Lyon

Inhaltsangabe

Preface
General Introduction
On the Navier-Stokes equations
1: Some elements of functional analysis
2: Weak solutions of the Navier-Stokes equations
3: Stability of the Navier-Stokes equations
4: References and remarks on the Navier-Stokes equations
Rotating Fluids
5: Dispersive cases
6: The periodic case
7: Ekman boundary layers for rotating fluids
8: References and remarks on rotating fluids
Perspectives
9: Stability of horizontal boundary layers
10: Other systems
11: Vertical layers
12: Other layers
References