Instabilities, chaos and turbulence

著者

• Manneville, P. (Paul)

書誌事項

Instabilities, chaos and turbulence

Paul Manneville

（ICP fluid mechanics, v. 1）

Imperial College Press, c2010

2nd ed

• : hbk
• : pbk

注記

"Distributed by World Scientific Publishing"--T.p. verso

Includes bibliographical references (p. 431-434) and index

内容説明・目次

巻冊次

: hbk ISBN 9781848163928

内容説明

This book (2nd edition) is a self-contained introduction to a wide body of knowledge on nonlinear dynamics and chaos. Manneville emphasises the understanding of basic concepts and the nontrivial character of nonlinear response, contrasting it with the intuitively simple linear response. He explains the theoretical framework using pedagogical examples from fluid dynamics, though prior knowledge of this field is not required. Heuristic arguments and worked examples replace most esoteric technicalities. Only basic understanding of mathematics and physics is required, at the level of what is currently known after one or two years of undergraduate training: elementary calculus, basic notions of linear algebra and ordinary differential calculus, and a few fundamental physical equations (specific complements are provided when necessary). Methods presented are of fully general use, which opens up ample windows on topics of contemporary interest. These include complex dynamical processes such as patterning, chaos control, mixing, and even the Earth's climate. Numerical simulations are proposed as a means to obtain deeper understanding of the intricacies induced by nonlinearities in our everyday environment, with hints on adapted modelling strategies and their implementation.

目次

• Introduction and Overview
• First Steps in Nonlinear Dynamics
• Life and Death of Dissipative Structures
• Nonlinear Dynamics: From Simple to Complex
• Applications of the Chaos Concept
• Nonlinear Dynamics of Patterns
• Open Flows
• Instability and Transition
• Developed Turbulence
• Summary and Perspectives.

巻冊次

: pbk ISBN 9781848163935

内容説明

This book (2nd edition) is a self-contained introduction to a wide body of knowledge on nonlinear dynamics and chaos. Manneville emphasises the understanding of basic concepts and the nontrivial character of nonlinear response, contrasting it with the intuitively simple linear response. He explains the theoretical framework using pedagogical examples from fluid dynamics, though prior knowledge of this field is not required. Heuristic arguments and worked examples replace most esoteric technicalities. Only basic understanding of mathematics and physics is required, at the level of what is currently known after one or two years of undergraduate training: elementary calculus, basic notions of linear algebra and ordinary differential calculus, and a few fundamental physical equations (specific complements are provided when necessary). Methods presented are of fully general use, which opens up ample windows on topics of contemporary interest. These include complex dynamical processes such as patterning, chaos control, mixing, and even the Earth's climate. Numerical simulations are proposed as a means to obtain deeper understanding of the intricacies induced by nonlinearities in our everyday environment, with hints on adapted modelling strategies and their implementation.

目次

• Introduction and Overview
• First Steps in Nonlinear Dynamics
• Life and Death of Dissipative Structures
• Nonlinear Dynamics: From Simple to Complex
• Applications of the Chaos Concept
• Nonlinear Dynamics of Patterns
• Open Flows
• Instability and Transition
• Developed Turbulence
• Summary and Perspectives.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BB0339022X
• ISBN:
  • 9781848163928
  • 9781848163935
• 出版国コード: uk
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: London
• ページ数/冊数: xv, 439 p.
• 大きさ: 24 cm
• 分類:
  • NDC9 : 423.84
• 親書誌ID:
  • BB03393942