Vorticity and Incompressible Flow

Andrew J. Majda; Andrea L. Bertozzi

doi:10.1017/CBO9780511613203

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.

‘… 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 Source: 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.’

Source: Journal of Fluid Mechanics

‘… a masterpiece of applied mathematics.’

Source: Zeitschrift für Angewandte Mathematik und Mechanik

- Aa Reduce text
- Aa Enlarge text

View selected items
Save to my bookmarks
Export citations
Download PDF (zip)
Save to Kindle
Save to Dropbox
Save to Google Drive
Save content to
To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to .

To save content items to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Please be advised that item(s) you selected are not available.
You are about to save
Your Kindle email address

Please provide your Kindle email.

@free.kindle.com @kindle.com (service fees apply)

By using this service, you agree that you will only keep content for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services

Metrics

Altmetric attention score

Total number of HTML views: 0

Total number of PDF views: 0 *

Loading metrics...

Total views: 0 *

Loading metrics...

* Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

Usage data cannot currently be displayed.

Why this information is here

This section outlines the accessibility features of this content - including support for screen readers, full keyboard navigation and high-contrast display options. This may not be relevant for you.

Accessibility Information

Accessibility compliance for the PDF of this book is currently unknown and may be updated in the future.

Vorticity and Incompressible Flow

This Book has been cited by the following publications. This list is generated based on data provided by Crossref.

Book description

Reviews

Refine List

Actions for selected content:

Contents

Frontmatter
pp i-vi

Contents
pp vii-x

Preface
pp xi-xii

1 - An Introduction to Vortex Dynamics for Incompressible Fluid Flows
pp 1-42

2 - The Vorticity-Stream Formulation of the Euler and the Navier-Stokes Equations
pp 43-85

3 - Energy Methods for the Euler and the Navier–Stokes Equations
pp 86-135

4 - The Particle-Trajectory Method for Existence and Uniqueness of Solutions to the Euler Equation
pp 136-167

5 - The Search for Singular Solutions to the 3D Euler Equations
pp 168-189

6 - Computational Vortex Methods
pp 190-255

7 - Simplified Asymptotic Equations for Slender Vortex Filaments
pp 256-302

8 - Weak Solutions to the 2D Euler Equations with Initial Vorticity in L∞
pp 303-358

9 - Introduction to Vortex Sheets, Weak Solutions, and Approximate-Solution Sequences for the Euler Equation
pp 359-382

10 - Weak Solutions and Solution Sequences in Two Dimensions
pp 383-404

11 - The 2D Euler Equation: Concentrations and Weak Solutions with Vortex-Sheet Initial Data
pp 405-449

12 - Reduced Hausdorff Dimension, Oscillations, and Measure-Valued Solutions of the Euler Equations in Two and Three Dimensions
pp 450-497

13 - The Vlasov–Poisson Equations as an Analogy to the Euler Equations for the Study of Weak Solutions
pp 498-542

Index
pp 543-545

Metrics

Altmetric attention score

Full text views

Book summary page views

Accessibility standard: Unknown

Why this information is here

Accessibility Information

Vorticity and Incompressible Flow

Book description

Reviews

Refine List

Actions for selected content:

Save Search

Contents

Metrics

Altmetric attention score

Full text views

Book summary page views

Accessibility standard: Unknown

Why this information is here

Accessibility Information