Introduction to Hamiltonian Fluid Dynamics and Stability Theory (Monographs and Surveys in Pure and Applied Mathematics) - Hardcover

Swaters, Gordon E

Hardcover

ISBN 10: 1584880236 ISBN 13: 9781584880233

Publisher: Chapman and Hall/CRC, 1999

Synopsis

Hamiltonian fluid dynamics and stability theory work hand-in-hand in a variety of engineering, physics, and physical science fields. Until now, however, no single reference addressed and provided background in both of these closely linked subjects. Introduction to Hamiltonian Fluid Dynamics and Stability Theory does just that-offers a comprehensive introduction to Hamiltonian fluid dynamics and describes aspects of hydrodynamic stability theory within the context of the Hamiltonian formalism.
The author uses the example of the nonlinear pendulum-giving a thorough linear and nonlinear stability analysis of its equilibrium solutions-to introduce many of the ideas associated with the mathematical argument required in infinite dimensional Hamiltonian theory needed for fluid mechanics. He examines Andrews' Theorem, derives and develops the Charney-Hasegawa-Mima (CMH) equation, presents an account of the Hamiltonian structure of the Korteweg-de Vries (KdV) equation, and discusses the stability theory associated with the KdV soliton.
The book's tutorial approach and plentiful exercises combine with its thorough presentations of both subjects to make Introduction to Hamiltonian Fluid Dynamics and Stability Theory an ideal reference, self-study text, and upper level course book.

About this title

Review

"a refreshingly non-technical stylethis is a well-written introduction to Hamiltonian fluid dynamics and basic stability results." --S. Reich, Edinburgh Mathematical Society, Vol. 44

Edition details

• Publisher: Chapman and Hall/CRC
• Publication date: 1999
• ISBN 10: 1584880236
• ISBN 13: 9781584880233
• Binding: Hardcover
• Language: English
• Edition number: 1
• Number of pages: 288