quartonews.it » Math and Science » Mathematical Geophysics: An Introduction to Rotating Fluids and the Navier-Stokes Equations (Oxford Lecture Series in Mathematics and Its Applications)

Author: | Jean-Yves Chemin,Benoit Desjardins,Isabelle Gallagher,Emmanuel Grenier |

Subcategory: | Physics |

Language: | English |

Publisher: | Clarendon Press; 1 edition (June 15, 2006) |

Pages: | 272 pages |

Category: | Math and Science |

Rating: | 4.9 |

Other formats: | docx doc lit azw |

Jean-Yves Chemin is a Professor at the University of Paris VI Benoit Desjardins is based at the Centre of. .Series: Oxford Lecture Series in Mathematics and Its Applications (Book 32).

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. Hardcover: 272 pages.

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.

oceedings{alGA, title {Mathematical Geophysics: An Introduction to Rotating .

oceedings{alGA, title {Mathematical Geophysics: An Introduction to Rotating Fluids and the Navier-Stokes Equations}, author {Jean-Yves Chemin and Beno{^i}t Desjardins and Isabelle Gallagher and Emmanuel Grenier}, year {2006} }. Jean-Yves Chemin, Benoît Desjardins, +1 author Emmanuel Grenier.

Series: Oxford lecture series in Mathematics and Its Applications, Vol. 3. In the scope of the 1990-04 lecture series on the computational fluid dynamics, methods for discretizing incompressible Navier-Stokes equations are analyzed. 32. Article in ZAMM Journal of applied mathematics and mechanics: Zeitschrift für angewandte Mathematik und Mechanik 87(3):246 · March 2007 with 70 Reads. How we measure 'reads'. Flows that are not dominated by density variations are considered under incompressibility. Strictly incompressible and weakly compressible flows are discussed.

Manufacturer: Clarendon Press Release date: 13 April 2006 ISBN-10 : 019857133X ISBN-13: 9780198571339. add. Separate tags with commas, spaces are allowed. Use tags to describe a product . for a movie Themes heist, drugs, kidnapping, coming of age Genre drama, parody, sci-fi, comedy Locations paris, submarine, new york.

Making the subtitle more specific, this book provides a transparent introduction to the mathematical analysis of rotating incompressible fluids described by the evolutionary Navier-Stokes equations (NSEs) with dominant Coriolis forces. The authors first discuss physical aspects related to the investigated geophysical model. Then, after recalling necessary facts on function spaces, the theory of weak solutions related to the three-dimensional Navier-Stokes equations is provided

Jean-Yves Chemin, Benoit Desjardins, Isabelle Gallagher, and . 7. Ekman boundary layers for rotating fluids. 8. References and remarks on rotating fluids. 9. Stability of horizontal boundary layers.

Jean-Yves Chemin, Benoit Desjardins, Isabelle Gallagher, and Emmanuel Grenier. Publisher: Oxford University Press. Publication Date: 2006. Oxford Lecture Series in Mathematics and Its Applications 32. Price: 7. 0.

Oxford University Press, 2006. Babin, . Mahalov, A. & Nicolaenko, B. 1997 Regularity and integrability of 3D Euler and Navier-Stokes equations for rotating fluids. Constantin, P. & Foias, C. 1988 Navier-Stokes Equations. 272 pp. ISBN 019857133X. Asymptotic Analysis 15, 103–150. University of Chicago Press. Gill, A. E. 1982 Atmosphere-Ocean Dynamics. Pedlosky, J. 1987 Geophysical Fluid Dynamics. Temam, R. 1995 Navier-Stokes Equations and Nonlinear Functional Analysis. Recommend this journal.

Jean-Yves Chemin, Benoit Desjardins, Isabelle Gallagher. 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.

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.

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