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Mathematical Geophysics: An introduction to rotating fluids and the Navier-Stokes equations: 32 (Oxford Lecture Series in Mathematics and Its Applications) - Hardcover
Inhaltsangabe
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 analysed. Part II is devoted to a self contained proof of the existence of weak (or strong) solutions to the incompressible Navier-Stokes equations. Part III 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 analysed, and finally rotating Navier-Stokes equations between two plates are studied, both in the case of periodic horizontal coordinates 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.
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Über die Autorin bzw. den Autor
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
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Mathematical Geophysics: An Introduction to Rotating Fluids and the Navier-Stokes Equations (Oxford Lecture Series in Mathematics and Its Applications, 32)
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Mathematical Geophysics (Hardcover)
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Oxford University Press, Oxford, 2006
ISBN 10: 019857133X
ISBN 13: 9780198571339
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Hardcover. Zustand: new. Hardcover. 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 analysed. Part II is devoted to a self contained proof of the existence of weak (orstrong) solutions to the incompressible Navier-Stokes equations. Part III 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 analysed, and finally rotating Navier-Stokes equations between two plates are studied, both in the case of periodic horizontal coordinates 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 Prandltequations. Finally spherical layers are introduced, whose study is completely open. Aimed at graduate students and researchers 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 Navier-Stokes equations are examined in both incompressible and rapidly rotating forms. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Bestandsnummer des Verkäufers 9780198571339
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Mathematical Geophysics: An Introduction to Rotating Fluids and the Navier-Stokes Equations (Oxford Lecture Series in Mathematics and Its Applications)
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