Introduction to Hydrodynamic Stability (Cambridge Texts in Applied Mathematics, Series Number 32) - Hardcover

Drazin, P. G.

Hardcover

ISBN 10: 0521804272 ISBN 13: 9780521804271

Publisher: Cambridge University Press, 2002

Synopsis

Instability of flows and their transition to turbulence are widespread phenomena in engineering and the natural environment. They are important in applied mathematics, astrophysics, biology, geophysics, meteorology, oceanography, physics, and engineering. This is a graduate-level textbook to introduce these phenomena by modeling them mathematically, and describing numerical simulations and laboratory experiments. The visualization of instabilities is emphasized with many figures. Many worked examples and exercises for students illustrate the ideas of the text. Readers are assumed to be fluent in linear algebra, advanced calculus, elementary theory of ordinary differntial equations, complex variable and the elements of fluid mechanics. The book is aimed at graduate students, but is very useful for specialists in other fields.

About this title

Book Description

Instability of flows and their transition to turbulence are widespread phenomena in engineering and the natural environment, and are important in applied mathematics, astrophysics, biology, geophysics, meteorology, oceanography and physics as well as engineering. This is a textbook to introduce these phenomena at a level suitable for a graduate course, by modelling them mathematically, and describing numerical simulations and laboratory experiments. The visualization of instabilities is emphasized, with many figures, and in references to more still and moving pictures. The relation of chaos to transition is discussed at length. Many worked examples and exercises for students illustrate the ideas of the text. Readers are assumed to be fluent in linear algebra, advanced calculus, elementary theory of ordinary differntial equations, complex variable and the elements of fluid mechanics. The book is aimed at graduate students but will also be very useful for specialists in other fields.

About the Author

Norman Riley is an Emeritus Professor of Applied Mathematics at the University of East Anglia.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2002
• Language: English
• ISBN 10: 0521804272
• ISBN 13: 9780521804271
• Binding: Hardcover
• Edition number: 1
• Number of pages: 278