A mathematical introduction to fluid mechanics

書誌事項

A mathematical introduction to fluid mechanics

Alexandre J. Chorin, Jerrold E. Marsden

(Texts in applied mathematics, 4)

Springer, 1993

3rd ed

  • : pbk

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注記

Includes index

内容説明・目次

内容説明

A presentation of some of the basic ideas of fluid mechanics in a mathematically attractive manner. The text illustrates the physical background and motivation for some constructions used in recent mathematical and numerical work on the Navier- Stokes equations and on hyperbolic systems, so as to interest students in this at once beautiful and difficult subject. This third edition incorporates a number of updates and revisions, while retaining the spirit and scope of the original book.

目次

Preface.- 1. The Equations of Motion: 1.1. Euler's Equations. 1.2. Rotation and Vorticity. 1.3. The Navier-Stokes Equations.- 2. Potential Flow and Slightly Viscous Flow: 2.1. Potential Flow. 2.2. Boundary Layers. 2.3. Vortex Sheets. 2.4. Remarks on Stability and Bifurcation.- 3. Gas Flow in One Dimension: 3.1. Characteristics. 3.2. Shocks. 3.3. The Riemann Problem. 3.4. Combustion Waves.

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詳細情報
  • NII書誌ID(NCID)
    BB28267904
  • ISBN
    • 9781461269342
  • 出版国コード
    us
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    New York
  • ページ数/冊数
    ix, 169 p.
  • 大きさ
    24 cm
  • 分類
  • 親書誌ID
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