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A Selected Survey of the Mathematical Theory of 1D Flows

In: Advances in Mathematical Fluid Mechanics

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  • Ivan Strašskraba

    (Mathematical Institute, Academy of Sciences of the Czech Republic)

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.

Suggested Citation

  • Ivan Strašskraba, 2010. "A Selected Survey of the Mathematical Theory of 1D Flows," Springer Books, in: Rolf Rannacher & Adélia Sequeira (ed.), Advances in Mathematical Fluid Mechanics, pages 581-587, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-04068-9_32
    DOI: 10.1007/978-3-642-04068-9_32
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