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Introduction to Hamiltonian Fluid Dynamics and Stability Theory (Paperback) Loot Price: R2,151
Discovery Miles 21 510
Introduction to Hamiltonian Fluid Dynamics and Stability Theory (Paperback): Gordon E. Swaters

Introduction to Hamiltonian Fluid Dynamics and Stability Theory (Paperback)

Gordon E. Swaters

Series: Monographs and Surveys in Pure and Applied Mathematics

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Loot Price R2,151 Discovery Miles 21 510 | Repayment Terms: R202 pm x 12*

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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.

General

Imprint: Crc Press
Country of origin: United Kingdom
Series: Monographs and Surveys in Pure and Applied Mathematics
Release date: October 2019
First published: 2000
Authors: Gordon E. Swaters
Dimensions: 234 x 156mm (L x W)
Format: Paperback
Pages: 288
ISBN-13: 978-0-367-39940-5
Categories: Books > Science & Mathematics > Physics > General
Books > Science & Mathematics > Mathematics > Applied mathematics > General
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LSN: 0-367-39940-7
Barcode: 9780367399405

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