Skip to content
Cart

Your Cart

×

You have 0 items in your cart.

Register Sign in Wishlist
Vorticity and Incompressible Flow

Vorticity and Incompressible Flow

£59.99

Part of Cambridge Texts in Applied Mathematics

  • Date Published: December 2001
  • availability: Available
  • format: Paperback
  • isbn: 9780521639484

£ 59.99
Paperback

Add to cart Add to wishlist

Other available formats:
Hardback, eBook


Looking for an inspection copy?

This title is not currently available on inspection

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • This book is a comprehensive introduction to the mathematical theory of vorticity and incompressible flow ranging from elementary introductory material to current research topics. While the contents center on mathematical theory, many parts of the book showcase the interaction between rigorous mathematical theory, numerical, asymptotic, and qualitative simplified modeling, and physical phenomena. The first half forms an introductory graduate course on vorticity and incompressible flow. The second half comprises a modern applied mathematics graduate course on the weak solution theory for incompressible flow.

    • Modern applied analysis approach to fluid mechanics
    • Physical and computational examples are presented and used to motivate the theory
    • Broad range of topics including numerical methods, singularities, strong solutions, weak solutions
    Read more

    Reviews & endorsements

    '… one of the very few good books that centres on the rigorous mathematical theory of vorticity and incompressible flow … extremely well written and compelling reading … the contents and the cost of this book certainly makes it a good purchase for experienced theoretical fluid dynamists'. D. B. Ingham, Contemporary Physics

    'This book is destined to become a classic … Majda and Bertozzi have produced a formidable and extremely well-written book on this subject that throws out a series of challenges to the modern student … This is the standard to which the rest of us need to aspire.' Journal of Fluid Mechanics

    '… a masterpiece of applied mathematics.' Zeitschrift für Angewandte Mathematik und Mechanik

    See more 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: December 2001
    • format: Paperback
    • isbn: 9780521639484
    • length: 560 pages
    • dimensions: 247 x 174 x 27 mm
    • weight: 0.88kg
    • contains: 48 b/w illus. 3 tables
    • availability: Available
  • Table of Contents

    Preface
    1. An introduction to vortex dynamics for incompressible fluid flows
    2. The vorticity-stream formulation of the Euler and the Navier-Stokes equations
    3. Energy methods for the Euler and the Navier-Stokes equations
    4. The particle-trajectory method for existence and uniqueness of solutions to the Euler equation
    5. The search for singular solutions to the 3D Euler equations
    6. Computational vortex methods
    7. Simplified asympototic equations for slender vortex filaments
    8. Weak solutions to the 2D Euler equations with initial vorticity in L∞
    9. Introduction to vortex sheets, weak solutions and approximate-solution sequences for the Euler equation
    10. Weak solutions and solution sequences in two dimensions
    11. The 2D Euler equation: concentrations and weak solutions with vortex-sheet initial data
    12. Reduced Hausdorff dimension, oscillations and measure-valued solutions of the Euler equations in two and three dimensions
    13. The Vlasov-Poisson equations as an analogy to the Euler equations for the study of weak solutions
    Index.

  • Authors

    Andrew J. Majda, New York University

    Andrea L. Bertozzi, Duke University, North Carolina

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

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.
×