Mathematical Geophysics: An introduction to rotating fluids and the Navier-Stokes equations
Apr 2006 · Oxford Lecture Series in Mathematics and Its Applications Book 32 · Clarendon Press
Ebook
264
Pages
family_home
Eligible
info
reportRatings and reviews aren’t verified Learn More
About this ebook
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.
About the author
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
Rate this ebook
Tell us what you think.
Reading information
Smartphones and tablets
Install the Google Play Books app for Android and iPad/iPhone. It syncs automatically with your account and allows you to read online or offline wherever you are.
Laptops and computers
You can listen to audiobooks purchased on Google Play using your computer's web browser.
eReaders and other devices
To read on e-ink devices like Kobo eReaders, you'll need to download a file and transfer it to your device. Follow the detailed Help Center instructions to transfer the files to supported eReaders.
