| 书目名称 | Variational Formulation of Fluid and Geophysical Fluid Dynamics |
| 副标题 | Mechanics, Symmetrie |
| 编辑 | Gualtiero Badin,Fulvio Crisciani |
| 视频video | |
| 概述 | Emphasizes a subject matter of interdisciplinary interest for meteorology, oceanography, physics and applied mathematics.Provides a detailed derivation of the equations of motion from conserved quanti |
| 丛书名称 | Advances in Geophysical and Environmental Mechanics and Mathematics |
| 图书封面 |  |
| 描述 | 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 ch |
| 出版日期 | Book 2018 |
| 关键词 | Quasi-Geostrophic Model; Conservation of vorticity; Particle labelling symmetry; Nonlinear geophysical |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-59695-2 |
| isbn_softcover | 978-3-319-86681-9 |
| isbn_ebook | 978-3-319-59695-2Series ISSN 1866-8348 Series E-ISSN 1866-8356 |
| issn_series | 1866-8348 |
| copyright | Springer International Publishing AG 2018 |
发表于 2025-3-21 18:07:55
