Introduction to Hamiltonian Fluid Dynamics and Stability Theory
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A01=Gordon E Swaters
advanced fluid mechanics stability theory
Arbitrary Differentiable Functions
Author_Gordon E Swaters
Casimir invariants
Category=PBKJ
Charney-Hasegawa-Mima equation
Convexity Estimate
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Equilibrium Solution
Full Nonlinear System
Hamiltonian fluid dynamics
Hamiltonian formalism
Hamiltonian Formulation
Hamiltonian Structure
Hamiltonian System
hydrodynamic stability theory
KdV Soliton
Korteweg-de Vries equation
Linear Stability
Linear Stability Conditions
Linear Stability Equations
Noether's Theorem
Noether’s Theorem
Nonlinear Pendulum
Nonlinear Stability
nonlinear stability analysis
Parallel Shear Flow
Poisson Bracket
Poisson brackets
Relevant Governing Equations
Steady Solution
Stream Function Fields
Suitable Perturbations
symplectic geometry
variational principles
vorticity dynamics
Product details
- ISBN 9780367399405
- Weight: 453g
- Dimensions: 156 x 234mm
- Publication Date: 07 Oct 2019
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Paperback
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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.
Swaters, Gordon E
