Variational Formulation of Fluid and Geophysical Fluid Dynamics

Language: English

Published by Springer Nature Switzerland Sep 2017, 2017

3319596942 / 9783319596945

Series: Book 16 of 18 - Advances in Geophysical and Environmental Mechanics and Mathematics

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This item is printed on demand - Print on Demand Titel. Neuware -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.Springer-Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 236 pp. Englisch.…

Seller Inventory # 9783319596945

Title
Variational Formulation of Fluid and Geophysical Fluid Dynamics
Author
Fulvio Crisciani
Publisher
Springer Nature Switzerland Sep 2017
Publication year
2017
Condition
Neu
Binding
Buch
Language
English
ISBN 10
3319596942
ISBN 13
9783319596945
Item weight
524 grams
Dimensions
241x160x19 mm
Series
Book 16 of 18: Advances in Geophysical and Environmental Mechanics and Mathematics

buchversandmimpf2000

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