Introduction to Hamiltonian Fluid Dynamics and Stability Theory (Monographs and Surveys in Pure and Applied Mathematics)

Swaters Gordon E 2000 Swaters Gordon E Swaters Gordon E.

ISBN 10: 1584880236 / ISBN 13: 9781584880233

Editore: Taylor & Francis Group, 1999

Riguardo questo articolo

pp. 288.

Codice articolo 18624044

Dati bibliografici

• Titolo: Introduction to Hamiltonian Fluid Dynamics and Stability Theory (Monographs and Surveys in Pure and Applied Mathematics)
• Editore: Taylor & Francis Group
• Data di pubblicazione: 1999
• Lingua: Inglese
• ISBN 10: 1584880236
• ISBN 13: 9781584880233
• Rilegatura: Rilegato
• Condizione: New

Descrizione articolo

Riassunto

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.

Informazioni sull?autore

Swaters, Gordon E