Introduction to Hamiltonian Fluid Dynamics and Stability Theory

Language: English

Published by Taylor and Francis Ltd, GB, 2019

0367399407 / 9780367399405

Series: Book 3 of 34 - Monographs and Surveys in Pure and Applied Mathematics

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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.…

Seller Inventory # LU-9780367399405

Title
Introduction to Hamiltonian Fluid Dynamics and Stability Theory
Author
Gordon E Swaters
Publisher
Taylor and Francis Ltd, GB
Publication year
2019
Condition
New
Binding
Paperback
Language
English
ISBN 10
0367399407
ISBN 13
9780367399405
Item weight
453 grams
Series
Book 3 of 34: Monographs and Surveys in Pure and Applied Mathematics

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