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A Selected Survey of the Mathematical Theory of 1D Flows

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Advances in Mathematical Fluid Mechanics

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Abstract

The global behavior of compressible fluid in a tube is investigated under physically realistic assumptions. Different initial and boundary conditions are discussed. General conditions are established, under which the fluid stabilizes to an equilibrium state. Motivation for this study is that apriori recognition of stabilization of the fluid is important in many situations arising in industrial applications. This contribution may serve as a partial survey of some results in this respect.

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Acknowledgments

This work was supported by the Grant Agency of the Czech Republic, Grant No. 201/108/0012 and by the Academy of Sciences of the Czech Republic, Institutional Research Plan No. AV0Z1090503.

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Authors and Affiliations

  1. Mathematical Institute, Academy of Sciences of the Czech Republic, 11567, Prague 1, Czech Republic

    Ivan Strašskraba

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  1. Ivan Strašskraba
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Correspondence to Ivan Strašskraba .

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Editors and Affiliations

  1. Interdisziplinäres Zentrum für, Universität Heidelberg, Im Neuenheimer Feld 368, Heidelberg, 69120, Germany

    Rolf Rannacher

  2. Depto. Mathemática, Istituto Superior Técnico, Av. Rovisco Pais, Lisboa, 1049-001, Portugal

    Adélia Sequeira

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Strašskraba, I. (2010). A Selected Survey of the Mathematical Theory of 1D Flows. In: Rannacher, R., Sequeira, A. (eds) Advances in Mathematical Fluid Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04068-9_32

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