| 书目名称 | Magnetohydrodynamics and Fluid Dynamics: Action Principles and Conservation Laws | | 编辑 | Gary Webb | | 视频video | | | 概述 | Authored by a leading expert in the field.Self-contained graduate-level text.Discusses both fundamentals and applications | | 丛书名称 | Lecture Notes in Physics | | 图书封面 |  | | 描述 | This text focuses on conservation laws in magnetohydrodynamics, gasdynamics and hydrodynamics. A grasp of new conservation laws is essential in fusion and space plasmas, as well as in geophysical fluid dynamics; they can be used to test numerical codes, or to reveal new aspects of the underlying physics, e.g., by identifying the time history of the fluid elements as an important key to understanding fluid vorticity or in investigating the stability of steady flows. .The ten Galilean Lie point symmetries of the fundamental action discussed in this book give rise to the conservation of energy, momentum, angular momentum and center of mass conservation laws via Noether’s first theorem. The advected invariants are related to fluid relabeling symmetries – so-called diffeomorphisms associated with the Lagrangian map – and are obtained by applying the Euler-Poincare approach to Noether’s second theorem. .The book discusses several variants of helicity including kinetic helicity, crosshelicity, magnetic helicity, Ertels’ theorem and potential vorticity, the Hollman invariant, and the Godbillon Vey invariant. The book develops the non-canonical Hamiltonian approach to MHD using the non-cano | | 出版日期 | Book 2018 | | 关键词 | Advected Invariants in MHD; Fluid Relabelling Symmetries; Lagrangian maps; Lie dragging; Fluid helicity | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-72511-6 | | isbn_softcover | 978-3-319-72510-9 | | isbn_ebook | 978-3-319-72511-6Series ISSN 0075-8450 Series E-ISSN 1616-6361 | | issn_series | 0075-8450 | | copyright | Springer International Publishing AG 2018 |
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发表于 2025-3-21 16:54:11
