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Introduction to Hamiltonian Fluid Dynamics and Stability Theory

Gordon E Swaters

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CRC Press
07 October 2019
Mathematical physics
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.
By:   Gordon E Swaters
Imprint:   CRC Press
Country of Publication:   United Kingdom
Dimensions:   Height: 235mm,  Width: 159mm, 
Weight:   530g
ISBN:   9780367399405
ISBN 10:   0367399407
Pages:   288
Publication Date:   07 October 2019
Audience:   College/higher education ,  Primary
Format:   Paperback
Publisher's Status:   Active

Swaters, Gordon E

Reviews for Introduction to Hamiltonian Fluid Dynamics and Stability Theory

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


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