Partial Differential Equations in Fluid Mechanics
Part of London Mathematical Society Lecture Note Series
- Editors:
- Charles L. Fefferman, Princeton University, New Jersey
- James C. Robinson, University of Warwick
- José L. Rodrigo, University of Warwick
- Date Published: September 2018
- availability: Available
- format: Paperback
- isbn: 9781108460965
Paperback
Other available formats:
eBook
Looking for an inspection copy?
This title is not currently available for inspection. However, if you are interested in the title for your course we can consider offering an inspection copy. To register your interest please contact asiamktg@cambridge.org providing details of the course you are teaching.
-
The Euler and Navier–Stokes equations are the fundamental mathematical models of fluid mechanics, and their study remains central in the modern theory of partial differential equations. This volume of articles, derived from the workshop 'PDEs in Fluid Mechanics' held at the University of Warwick in 2016, serves to consolidate, survey and further advance research in this area. It contains reviews of recent progress and classical results, as well as cutting-edge research articles. Topics include Onsager's conjecture for energy conservation in the Euler equations, weak-strong uniqueness in fluid models and several chapters address the Navier–Stokes equations directly; in particular, a retelling of Leray's formative 1934 paper in modern mathematical language. The book also covers more general PDE methods with applications in fluid mechanics and beyond. This collection will serve as a helpful overview of current research for graduate students new to the area and for more established researchers.
Read more- Contains original research from leading experts in mathematical fluid dynamics
- Provides up-to-date surveys of areas of current interest in applied partial differential equations
- Includes a survey of the classic 1934 paper by Leray, using modern terminology
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Date Published: September 2018
- format: Paperback
- isbn: 9781108460965
- length: 336 pages
- dimensions: 228 x 151 x 20 mm
- weight: 0.5kg
- contains: 5 b/w illus. 2 tables
- availability: Available
Table of Contents
Preface Charles L. Fefferman, James C. Robinson and José L. Rodrigo
1. Remarks on recent advances concerning boundary effects and the vanishing viscosity limit of the Navier–Stokes equations Claude Bardos
2. Time-periodic flow of a viscous liquid past a body Giovanni P. Galdi and Mads Kyed
3. The Rayleigh–Taylor instability in buoyancy-driven variable density turbulence John D. Gibbon, Pooja Rao and Colm-Cille P. Caulfield
4. On localization and quantitative uniqueness for elliptic partial differential equations Guher Camliyurt, Igor Kukavica and Fei Wang
5. Quasi-invariance for the Navier–Stokes equations Koji Ohkitani
6. Leray's fundamental work on the Navier–Stokes equations: a modern review of 'Sur le mouvement d'un liquide visqueux emplissant l'espace' Wojciech S. Ożański and Benjamin C. Pooley
7. Stable mild Navier–Stokes solutions by iteration of linear singular Volterra integral equations Reimund Rautmann
8. Energy conservation in the 3D Euler equations on T2 x R+ James C. Robinson, José L. Rodrigo and Jack W. D. Skipper
9. Regularity of Navier–Stokes flows with bounds for the velocity gradient along streamlines and an effective pressure Chuong V. Tran and Xinwei Yu
10. A direct approach to Gevrey regularity on the half-space Igor Kukavica and Vlad Vicol
11. Weak-strong uniqueness in fluid dynamics Emil Wiedemann.
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» 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 ×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.
×