Introduction to Hamiltonian fluid dynamics and stability theory

✍ Scribed by Swaters, Gordon E

• Publisher: Chapman & Hall/CRC
• Year: 2000
• Tongue: English
• Leaves: 287
• Series: Chapman & Hall/CRC monographs and surveys in pure and applied mathematics 102
• Category: Library

✦ Synopsis

"Hamiltonian fluid dynamics and stability theory work side-by-side in a variety of engineering, physics, and physical science fields. Until now, however, no single reference has addressed and provided background in both of these closely linked subjects. Introduction to Hamiltonian Fluid Dynamics and Stability Theory does just that - it offers a comprehensive introduction to Hamiltonian fluid dynamics and describes aspects of hydrodynamic stability theory within the context of the Hamiltonian formalism." "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."--Jacket.  Read more...

Abstract: "Hamiltonian fluid dynamics and stability theory work side-by-side in a variety of engineering, physics, and physical science fields. Until now, however, no single reference has addressed and provided background in both of these closely linked subjects. Introduction to Hamiltonian Fluid Dynamics and Stability Theory does just that - it offers a comprehensive introduction to Hamiltonian fluid dynamics and describes aspects of hydrodynamic stability theory within the context of the Hamiltonian formalism." "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."--Jacket

✦ Table of Contents

Content: 1. Introduction --
2. The nonlinear pendulum --
3. The two dimensional Euler equations --
4. Stability of steady Euler flows --
5. The Charney-Hasegawa-Mima equation --
6. The KdV equation.

✦ Subjects

Fluid dynamics;Hamiltonian systems;Stability;Hamiltonsches System;Stabilität;Strömungsmechanik;Dinâmica dos fluídos;Fluides, Dynamique des;Systèmes hamiltoniens;Stabilité;TECHNOLOGY & ENGINEERING / Hydraulics