Skip to content
Register Sign in Wishlist
Nonlinear Dynamics and Statistical Theories for Basic Geophysical Flows

Nonlinear Dynamics and Statistical Theories for Basic Geophysical Flows

$129.00

  • Date Published: May 2006
  • availability: Available
  • format: Hardback
  • isbn: 9780521834414

$ 129.00
Hardback

Add to cart Add to wishlist

Other available formats:
eBook


Looking for an evaluation copy?

This title is not currently available for evaluation. However, if you are interested in the title for your course we can consider offering an evaluation copy. To register your interest please contact asiamktg@cambridge.org providing details of the course you are teaching.

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • The general area of geophysical fluid mechanics is truly interdisciplinary. Now ideas from statistical physics are being applied in novel ways to inhomogeneous complex systems such as atmospheres and oceans. In this book, the basic ideas of geophysics, probability theory, information theory, nonlinear dynamics and equilibrium statistical mechanics are introduced and applied to large time-selective decay, the effect of large scale forcing, nonlinear stability, fluid flow on a sphere and Jupiter's Great Red Spot. The book is the first to adopt this approach and it contains many recent ideas and results. Its audience ranges from graduate students and researchers in both applied mathematics and the geophysical sciences. It illustrates the richness of the interplay of mathematical analysis, qualitative models and numerical simulations which combine in the emerging area of computational science.

    • First book combining nonlinear dynamical and statistical approaches at elementary level
    • Only basic prerequisites; many topics introduced through examples as and when required
    • Many applications to geophysics including Great Red Spot of Jupiter
    Read more

    Reviews & endorsements

    '… this book is a valuable contribution to the fascinating intersection of applied mathematics and geophysical fluid dynamics. … The authors are adept at illuminating and motivating rigorous mathematical analysis, qualitative models and physical intuition through exceptionally lucid exposition and a rich collection of examples.' Mathematical Reviews

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Date Published: May 2006
    • format: Hardback
    • isbn: 9780521834414
    • length: 564 pages
    • dimensions: 253 x 180 x 30 mm
    • weight: 1.25kg
    • contains: 150 b/w illus. 10 tables
    • availability: Available
  • Table of Contents

    1. Barotropic geophysical flows and two-dimensional fluid flows: an elementary introduction
    2. The Response to large scale forcing
    3. The selective decay principle for basic geophysical flows
    4. Nonlinear stability of steady geophysical flows
    5. Topographic mean-flow interaction, nonlinear instability, and chaotic dynamics
    6. Introduction to empirical statistical theory
    7. Equilibrium statistical mechanics for systems of ordinary differential equations
    8. Statistical mechanics for the truncated quasi-geostrophic equations
    9. Empirical statistical theories for most probable states
    10. Assessing the potential applicability of equilibrium statistical theories for geophysical flows: an overview
    11. Predictions and comparison of equilibrium statistical theories
    12. Equilibrium statistical theories and dynamical modeling of flows with forcing and dissipation
    13. Predicting the jets and spots on Jupiter by equilibrium statistical mechanics
    14. Statistically relevant and irrelevant conserved quantities for truncated quasi-geostrophic flow and the Burger–Hopf model
    15. A mathematical framework for quantifying predictability utilizing relative entropy
    16. Barotropic quasi-geostrophic equations on the sphere
    Bibliography
    Index.

  • Authors

    Andrew Majda, New York University
    Andrew J. Majda is the Morse Professor of Arts and Sciences at the Courant Institute of New York University.

    Xiaoming Wang, Florida State University and Iowa State University
    Xiaoming Wang is an Associate Professor in the Department of Mathematics at Iowa State University.

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×