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Introduction to Hamiltonian Fluid Dynamics and Stability Theory: 102 (Monographs and Surveys in Pure and Applied Mathematics) - Tapa blanda

Libro 3 de 34: Monographs and Surveys in Pure and Applied Mathematics

Swaters, Gordon E

 
9780367399405: Introduction to Hamiltonian Fluid Dynamics and Stability Theory: 102 (Monographs and Surveys in Pure and Applied Mathematics)
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ISBN 10: 0367399407 ISBN 13: 9780367399405
Editorial: Chapman and Hall/CRC, 2019

Sinopsis

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.

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Acerca del autor

Swaters, Gordon E

De la contraportada

Hamiltonian fluid dynamics and stability theory work hand-in-hand in a variety of engineering, physics, and physical science fields. Introduction to Hamiltonian Fluid Dynamics and Stability Theory 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 a review of the Hamiltonian structure of the nonlinear pendulum to introduce many of the subject's concepts. The book's approach and plentiful exercises combine with its thorough presentations of both subjects to make this an ideal reference, self-study text, and upper level course book.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Chapman and Hall/CRC
Año de publicación
2019
Idioma
Inglés
ISBN 10 
0367399407
ISBN 13 
9780367399405
Encuadernación
Tapa blanda
Número de edición
1
Número de páginas
286
Contacto del fabricante
Taylor and Francis, GPSR Taylor and Francis
gpsr@taylorandfrancis.com

Taylor & Francis Verlag GmbH, Kaufingerstraße 24
München
80331
Alemania