Overview

Full Product Details

Author:   Gordon E Swaters ,  Alan Jeffrey (University of Newcastle upon Tyne, UK) ,  Haim Brezis ,  Ronald G. Douglas (Texas A & M University)
Publisher:   Taylor & Francis Inc
Imprint:   Chapman & Hall/CRC
Volume:   102
Dimensions:   Width: 15.60cm , Height: 2.20cm , Length: 23.40cm
Weight:   0.690kg
ISBN:  

9781584880233

ISBN 10:   1584880236
Pages:   288
Publication Date:   29 September 1999
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Introduction The Nonlinear Pendulum Model Formulation Canonical Hamiltonian Formulation Least Action Principle Symplectic Hamiltonian Formulation Mathematical Properties of the J Matrix Poisson Bracket Formulation Steady Solutions of a Canonical Hamiltonian System Linear Stability of a Steady Solution Nonlinear Stability of a Steady Solution The Two Dimensional Euler Equations Vorticity Equation Formulation Hamiltonian Structure for Partial Differential Equations Hamiltonian Structure of the Euler Equations Reduction of the Canonical Poisson Bracket Casimir Functionals and Noether's Theorem Exercises Stability of Steady Euler Flows Steady Solutions of the Vorticity Equation Linear Stability Problem Normal Mode Equations for Parallel Shear Flows Linear Stability Theorems Nonlinear Stability Theorems Andrews' Theorem Flows with Special Symmetries Exercises The Charney-Hasegawa-Mima Equation A Derivation of the CHM Equation Hamiltonian Structure Steady Solutions Stability of Steady Solutions Steadily-Travelling Solutions Exercises The KdV Equation A Derivation of the KdV Equation Hamiltonian Structure Periodic and Soliton Solutions Variational Principles Linear Stability Nonlinear Stability Exercises

Reviews

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

Author Information

Swaters, Gordon E

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions