Compressible flow and Euler's equations

著者

書誌事項

Compressible flow and Euler's equations

Demetrios Christodoulou, Shuang Miao

(Surveys of modern mathematics, v. 9)

International Press , Higher Education Press, c2014

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注記

Bibliography: p. [581]

内容説明・目次

内容説明

This monograph considers the classical compressible Euler Equations in three space dimensions with an arbitrary equation of state, and whose initial data corresponds to a constant state outside a sphere. Under suitable restriction on the size of the initial departure from the constant state, the authors establish theorems which give a complete description of the maximal development. In particular, the boundary of the domain of the maximal solution contains a singular part where the density of the wave fronts blows up and shocks form. The authors obtain a detailed description of the geometry of this singular boundary, and a detailed analysis of the behavior of the solution there. The approach is geometric, the central concept being that of the acoustical spacetime manifold. Compared to a previous monograph treating the relativistic fluids by the first author, the present monograph not only gives simpler and self-contained proofs but also sharpens some of the results. In addition, it explains in depth the ideas on which the approach is based. Moreover, certain geometric aspects which pertain only to the non-relativistic theory are discussed. Compressible Flow and Euler’s Equations will be of interest to scholars working in partial differential equations in general and in fluid mechanics in particular.

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詳細情報

  • NII書誌ID(NCID)
    BB1788645X
  • ISBN
    • 9781571462978
  • 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
    Somerville, Mass,Beijing
  • ページ数/冊数
    x, iv, 580 p.
  • 大きさ
    26 cm
  • 親書誌ID
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