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Fluid Mechanics paper 272 p., 30 grayscale line figures 18
Rajeev, S. G.
著
在庫状況
お取り寄せ
お届け予定日
2週間
価格
\8,936(税込)
発行年月
2018年09月
出版社/提供元
Oxford University Press
出版国
イギリス
言語
英語
媒体
冊子
装丁
paper
ページ数/巻数
272 p., 30 grayscale line figures
ジャンル
洋書/理工学/物理学/統計物理学、熱力学、非線型物理学
ISBN
9780198805038
商品コード
1027184424
本の性格
テキスト/テキスト
新刊案内掲載月
2018年10月
商品URL
https://kw.maruzen.co.jp/ims/itemDetail.html?itmCd=1027184424
内容
Fluid Mechanics: A Geometrical Point of View emphasizes general principles of physics illustrated by simple examples in fluid mechanics. Advanced mathematics (e.g., Riemannian geometry and Lie groups) commonly used in other parts of theoretical physics (e.g. General Relativity or High Energy Physics) are explained and applied to fluid mechanics. This follows on from the author's book Advanced Mechanics (Oxford University Press, 2013). After introducing the fundamental equations (Euler and Navier-Stokes), the book provides particular cases: ideal and viscous flows, shocks, boundary layers, instabilities, and transients. A restrained look at integrable systems (KdV) leads into a formulation of an ideal fluid as a hamiltonian system. Arnold's deep idea, that the instability of a fluid can be understood using the curvature of the diffeomorphism group, will be explained. Leray's work on regularity of Navier-Stokes solutions, and the modern developments arising from it, will be explained in language for physicists. Although this is a book on theoretical physics, readers will learn basic numerical methods: spectral and finite difference methods, geometric integrators for ordinary differential equations. Readers will take a deep dive into chaotic dynamics, using the Smale horse shoe as an example. Aref's work on chaotic advection is explained. The book concludes with a self-contained introduction to renormalization, an idea from high energy physics which is expected to be useful in developing a theory of turbulence.