Gualtiero Badin; Fulvio Crisciani Variational Formulation of Fluid and Geophysical Fluid Dynamics 9783319596945

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Автор: Gualtiero Badin; Fulvio Crisciani
Название: Variational Formulation of Fluid and Geophysical Fluid Dynamics
ISBN: 9783319596945
Издательство: Springer
Классификация:

Экономическая история

Классическая механика

Гидродинамика и газовая динамика

Прикладная физика и специальные темы

Геофизика

Науки о земле

Метеорология и климатология

Экология

ISBN-10: 3319596942
Обложка/Формат: Hardcover
Страницы: 218
Вес: 0.51 кг.
Дата издания: 06.09.2017
Серия: Advances in Geophysical and Environmental Mechanics and Mathematics
Язык: English
Издание: 1st ed. 2018
Иллюстрации: Xviii, 219 p.
Размер: 234 x 156 x 14
Читательская аудитория: Professional & vocational
Основная тема: Physics
Подзаголовок: Mechanics, Symmetries and Conservation Laws
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book describes the derivation of the equations of motion of fluids as well as the dynamics of ocean and atmospheric currents on both large and small scales through the use of variational methods. In this way the equations of Fluid and Geophysical Fluid Dynamics are re-derived making use of a unifying principle, that is Hamilton’s Principle of Least Action. The equations are analyzed within the framework of Lagrangian and Hamiltonian mechanics for continuous systems. The analysis of the equations’ symmetries and the resulting conservation laws, from Noether’s Theorem, represent the core of the description. Central to this work is the analysis of particle relabeling symmetry, which is unique for fluid dynamics and results in the conservation of potential vorticity. Different special approximations and relations, ranging from the semi-geostrophic approximation to the conservation of wave activity, are derived and analyzed. Thanks to a complete derivation of all relationships, this book is accessible for students at both undergraduate and graduate levels, as well for researchers. Students of theoretical physics and applied mathematics will recognize the existence of theoretical challenges behind the applied field of Geophysical Fluid Dynamics, while students of applied physics, meteorology and oceanography will be able to find and appreciate the fundamental relationships behind equations in this field.
Дополнительное описание: Dedication.- Foreword by Geoffrey K. Vallis.- Preface.- Acknowledgements.- Fundamental Equations of Fluid and Geophysical Fluid Dynamics.- Mechanics, Symmetries and Noether’s Theorem.- Variational Principles in Fluid Dynamics, Symmetries and Conservation

Variational Formulation of Fluid and Geophysical Fluid Dynamics, Gualtiero Badin; Fulvio Crisciani