书目名称 | Lagrangian Transport in Geophysical Jets and Waves |
副标题 | The Dynamical System |
编辑 | Roger M. Samelson,Stephen Wiggins |
视频video | |
概述 | Novel and accessible parallel development of essential mathematical and physical concepts.Includes supplementary material: |
丛书名称 | Interdisciplinary Applied Mathematics |
图书封面 |  |
描述 | The purpose of this book is to provide an accessible introduction to a new set of methods for the analysis of Lagrangian motion in geophysical ?ows. These methods were originally developed in the abstract mathem- ical setting of dynamical systems theory, through a geometric approach to di?erential equations that ultimately owes much to the insights of Poincar´ e (1892). In the 1980s and 1990s, researchers in applied mathematics and ?uid dynamics recognized the potential of this approach for the analysis of ?uid motion. Despite these developments and the existence of a substantial body of work on geophysical ?uid problems in the dynamical systems and geophysicalliterature,nointroductorytexthasbeenavailablethatpresents these methods in the context of geophysical ?uid ?ow. The text is meant to be accessible to geophysical ?uid scientists and students familiar with the mathematics of ordinary (mostly) and partial (sometimes) di?erential equations. It assumes little or no prior knowledge of dynamical systems theory. An e?ort is made to explain concepts from a physical point of view, and to avoid the theorem and proof constructions that appear in dynamical systems texts. We hope that thi |
出版日期 | Book 2006 |
关键词 | SIAM 2006; dynamical systems; dynamics; fluid dynamics; material; waves |
版次 | 1 |
doi | https://doi.org/10.1007/978-0-387-46213-4 |
isbn_softcover | 978-1-4419-2204-5 |
isbn_ebook | 978-0-387-46213-4Series ISSN 0939-6047 Series E-ISSN 2196-9973 |
issn_series | 0939-6047 |
copyright | Springer-Verlag New York 2006 |