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Introduction to Hamiltonian Fluid Dynamics and Stability Theory, Swaters, Gordon E


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Автор: Swaters, Gordon E
Название:  Introduction to Hamiltonian Fluid Dynamics and Stability Theory
ISBN: 9780367399405
Издательство: Taylor&Francis
Классификация:
ISBN-10: 0367399407
Обложка/Формат: Paperback
Страницы: 288
Вес: 0.53 кг.
Дата издания: 20.12.2019
Серия: Monographs and surveys in pure and applied mathematics
Язык: English
Размер: 234 x 156 x 16
Читательская аудитория: Tertiary education (us: college)
Основная тема: Mathematical Physics
Ссылка на Издательство: Link
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Поставляется из: Европейский союз
Описание:

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 books 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.



Lagrangian and Hamiltonian Dynamics

Автор: Mann Peter
Название: Lagrangian and Hamiltonian Dynamics
ISBN: 0198822375 ISBN-13(EAN): 9780198822370
Издательство: Oxford Academ
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Цена: 87650.00 T
Наличие на складе: Невозможна поставка.
Описание: The book introduces classical mechanics. It does so in an informal style with numerous fresh, modern and inter-disciplinary applications assuming no prior knowledge of the necessary mathematics. The book provides a comprehensive and self-contained treatment of the subject matter up to the forefront of research in multiple areas.

Introduction to hamiltonian dynamical systems and the n-body problem

Автор: Meyer, Kenneth Offin, Daniel C.
Название: Introduction to hamiltonian dynamical systems and the n-body problem
ISBN: 3319536907 ISBN-13(EAN): 9783319536903
Издательство: Springer
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Цена: 74530.00 T
Наличие на складе: Поставка под заказ.
Описание: Providing expanded material on the restricted three body problem and celestial mechanics, the third edition has new material on reduction, orbifolds and the regularization of the Kepler problem, all with applications. It provides a mathematical structure of celestial mechanics for beginners, and will be useful to graduate students and researchers.

Lagrangian and hamiltonian dynamics

Автор: Mann, Peter (st Andrews University, Uk)
Название: Lagrangian and hamiltonian dynamics
ISBN: 0198822383 ISBN-13(EAN): 9780198822387
Издательство: Oxford Academ
Рейтинг:
Цена: 43810.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The book introduces classical mechanics. It does so in an informal style with numerous fresh, modern and inter-disciplinary applications assuming no prior knowledge of the necessary mathematics. The book provides a comprehensive and self-contained treatment of the subject matter up to the forefront of research in multiple areas.

Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics

Автор: Marco Pettini
Название: Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics
ISBN: 1441921648 ISBN-13(EAN): 9781441921642
Издательство: Springer
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Цена: 102480.00 T
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Описание: This book covers a new explanation of the origin of Hamiltonian chaos and its quantitative characterization. The subject of the book, which contains numerous illustrations throughout, is very original and nothing similar has been written hitherto.

Complex Hamiltonian Dynamics

Автор: Tassos Bountis; Haris Skokos
Название: Complex Hamiltonian Dynamics
ISBN: 3642440746 ISBN-13(EAN): 9783642440748
Издательство: Springer
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Цена: 78350.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book explores modern developments in Hamiltonian dynamical systems, focusing on high degree-of-freedom systems and the transitional regimes between regular and chaotic motion. Includes end-of-chapter exercises and challenging problems.

Critical Point Theory and Hamiltonian Systems

Автор: Jean Mawhin
Название: Critical Point Theory and Hamiltonian Systems
ISBN: 1441930892 ISBN-13(EAN): 9781441930897
Издательство: Springer
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Цена: 104480.00 T
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Symmetries, Topology and Resonances in Hamiltonian Mechanics

Автор: Valerij V. Kozlov; S.V. Bolotin; Yu. Fedorov; D. T
Название: Symmetries, Topology and Resonances in Hamiltonian Mechanics
ISBN: 3642783953 ISBN-13(EAN): 9783642783951
Издательство: Springer
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Цена: 83850.00 T
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Описание: John Hornstein has written about the author`s theorem on nonintegrability of geodesic flows on closed surfaces of genus greater than one: "Here is an example of how differential geometry, differential and algebraic topology, and Newton`s laws make music together" (Amer.

Systems of Transversal Sections Near Critical Energy Levels of Hamiltonian Systems in $\mathbb {R}^4$

Автор: Naiara V. de Paulo, Pedro A.S. Salomao
Название: Systems of Transversal Sections Near Critical Energy Levels of Hamiltonian Systems in $\mathbb {R}^4$
ISBN: 1470428016 ISBN-13(EAN): 9781470428013
Издательство: Mare Nostrum (Eurospan)
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Цена: 77610.00 T
Наличие на складе: Невозможна поставка.
Описание: In this article the authors study Hamiltonian flows associated to smooth functions $H:\mathbb R^4 \to \mathbb R$ restricted to energy levels close to critical levels. They assume the existence of a saddle-center equilibrium point $p_c$ in the zero energy level $H^{-1}(0)$.

Hamiltonian Field Theory in the Radiating Regime

Автор: Piotr T. Chrusciel; Jacek Jezierski; Jerzy Kijowsk
Название: Hamiltonian Field Theory in the Radiating Regime
ISBN: 3642076815 ISBN-13(EAN): 9783642076817
Издательство: Springer
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Цена: 78350.00 T
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Central configurations, periodic orbits, and hamiltonian systems

Автор: Llibre, Jaume Moeckel, Richard Simo, Carles
Название: Central configurations, periodic orbits, and hamiltonian systems
ISBN: 3034809328 ISBN-13(EAN): 9783034809320
Издательство: Springer
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Цена: 27940.00 T
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Описание: 1 The Averaging Theory for Computing Periodic Orbits.- Introduction: the classical theory.- Averaging theory for arbitrary order and dimension.- Three applications of Theorem.- 2 Lectures on Central Configurations.- The n-body problem.- Symmetries and integrals.- Central configurations and self-similar solutions.- Matrix equations of motion.- Homographic motions of central configurations in Rd.- Albouy-Chenciner reduction and relative equilibria in Rd.- Homographic motions in Rd.- Central configurations as critical points.- Collinear central configurations.- Morse indices of non-collinear central configurations.- Morse theory for CC's and SBC's.- Dziobek configurations.- Convex Dziobek central configurations.- Generic finiteness for Dziobek central configurations.- Some open problems.- 3 Dynamical Properties of Hamiltonian Systems.- Introduction.- Low dimension.- Some theoretical results, their implementation and practical tools.- Applications to Celestial Mechanics.

Lagrangian and Hamiltonian Analytical Mechanics: Forty Exercises Resolved and Explained

Автор: Pletser Vladimir
Название: Lagrangian and Hamiltonian Analytical Mechanics: Forty Exercises Resolved and Explained
ISBN: 9811330255 ISBN-13(EAN): 9789811330254
Издательство: Springer
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Цена: 149060.00 T
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Описание:

This textbook introduces readers to the detailed and methodical resolution of classical and more recent problems in analytical mechanics. This valuable learning tool includes worked examples and 40 exercises with step-by-step solutions, carefully chosen for their importance in classical, celestial and quantum mechanics.
The collection comprises six chapters, offering essential exercises on: (1) Lagrange Equations; (2) Hamilton Equations; (3) the First Integral and Variational Principle; (4) Canonical Transformations; (5) Hamilton – Jacobi Equations; and (6) Phase Integral and Angular Frequencies
Each chapter begins with a brief theoretical review before presenting the clearly solved exercises. The last two chapters are of particular interest, because of the importance and flexibility of the Hamilton-Jacobi method in solving many mechanical problems in classical mechanics, as well as quantum and celestial mechanics.
Above all, the book provides students and teachers alike with detailed, point-by-point and step-by-step solutions of exercises in Lagrangian and Hamiltonian mechanics, which are central to most problems in classical physics, astronomy, celestial mechanics and quantum physics.

Hamiltonian Mechanics

Автор: John Seimenis
Название: Hamiltonian Mechanics
ISBN: 1489909664 ISBN-13(EAN): 9781489909664
Издательство: Springer
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Цена: 139750.00 T
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Описание: Proceedings of a NATO ARW held in Torun, Poland, June 28-July 2, 1993


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