Skip to content
Register Sign in Wishlist

Partial Differential Equations in Fluid Dynamics

$124.00 (P)

  • Date Published: July 2008
  • availability: Available
  • format: Hardback
  • isbn: 9780521888240

$ 124.00 (P)

Add to cart Add to wishlist

Other available formats:
Paperback, eBook

Looking for an examination copy?

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

Product filter button
About the Authors
  • This book is concerned with partial differential equations applied to fluids problems in science and engineering. This work is designed for two potential audiences. First, this book can function as a text for a course in mathematical methods in fluid mechanics in non-mathematics departments or in mathematics service courses. The authors have taught both. Second, this book is designed to help provide serious readers of journals (professionals, researchers, and graduate students) in analytical science and engineering with tools to explore and extend the missing steps in an analysis. The topics chosen for the book are those that the authors have found to be of considerable use in their own research careers. These topics are applicable in many areas, such as aeronautics and astronautics; biomechanics; chemical, civil, and mechanical engineering; fluid mechanics; and geophysical flows. Continuum ideas arise in other contexts, and the techniques included have applications there as well.

    • Unique unified presentation of most recent results coming from experiments, numerical simulations and theoretical analysis
    • Unique discussion of advanced linear and nonlinear theories/models
    • Deep analysis of the main remaining open problems
    Read more

    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: July 2008
    • format: Hardback
    • isbn: 9780521888240
    • length: 298 pages
    • dimensions: 254 x 178 x 17 mm
    • weight: 0.74kg
    • availability: Available
  • Table of Contents

    1. Review of analytic function theory
    2. Special functions
    3. Eigenvalue problems and eigenfunction expansions
    4. Green's functions for boundary-value problems
    5. Laplace transform methods
    6. Fourier transform methods
    7. Particular physical problems
    8. Asymptotic expansions of integrals.

  • Instructors have used or reviewed this title for the following courses

    • Complex Variables and Integral Transforms with Applications
    • Computational Fluid Dynamics and Heat Transfer
    • Computational Methods in Viscous Flows
    • Fluids 2 and Turbulence
    • Intermediate Fluid Dynamics
    • Intermediate Fluid Mechanics
    • Measurements & Instrumentation
  • Authors

    Isom H. Herron, Rensselaer Polytechnic Institute, New York
    Isom Herron is a Professor of Mathematics at Rensselaer Polytechnic Institute. After completing his PhD at The Johns Hopkins University and a post-doctoral at the California Institute of Technology, he was in the Mathematics Department at Howard University for many years, and he has held visiting appointments at Northwestern University, University of Maryland, MIT, and Los Alamos National Laboratory. Professor Herron's research is in one of the richest areas of applied mathematics: the theory of the stability of fluid flows. Common applications are to phenomena in the atmosphere and the oceans, to problems of the motion of ships and aircraft, and to internal machinery. Modern approaches involve new techniques in operator theory, energy methods, and dynamical systems. His current research interests are in stability of rotating magneto-hydrodynamic flows and more complicated geophysical flows such as groundwater, for which mathematical models are still being developed.

    Michael R. Foster, Rensselaer Polytechnic Institute, New York
    Michael R. Foster is an Adjunct Professor of Mathematics at Rensselaer Polytechnic Institute and was a Professor at The Ohio State University in the Department of Aerospace Engineering from 1970 until 2006. Professor Foster's specialty is theoretical fluid dynamics, generally using asymptotic methods in conjunction with some computation. He focused for many years on geophysical fluid dynamics, enjoying rich collaborations with numerous distinguished professors at Arizona State University and the University of Dundee, and more recently Manchester. Since that time, his research has been in three areas: directional solidification problems, particularly in Bridgman devices; mathematical models of dendritic crystal growth; and boundary layers in dilute suspensions, especially the singularities that arise in standard models.

Sign In

Please sign in to access your account


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

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 Please see the permission section of the 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.


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.