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Self-similar solutions and their stability for the flow of relativistic fluids through channels

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Abstract

We analyze the flow of a perfect relativistic fluid in a circular confining channel of variable cross-section, a situation which is currently thought to be relevant for models of beams protruding from radio galaxies. Families of slef-similar solutions are found and we illustrate some of their topological characteristics. However, a perturbative investigation of the solutions indicates that all such self-similar modes are unstable, and would eventually evolve into some non-self-similar form.

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Author notes

  1. Paul J. Wiita

    Present address: Department of Astronomy and Astrophysics, University of Pennsylvania, USA

Authors and Affiliations

  1. Dept of Physics and Enrico Fermi Institute, University of Chicago, Chicago, Ill., USA

    I. Lerche

  2. Astronomy and Astrophysics Center, Enrico Fermi Institute, University of Chicago, Chicago, Ill., USA

    Paul J. Wiita

Authors
  1. I. Lerche
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  2. Paul J. Wiita
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Lerche, I., Wiita, P.J. Self-similar solutions and their stability for the flow of relativistic fluids through channels. Astrophys Space Sci 68, 475–485 (1980). https://doi.org/10.1007/BF00639712

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  • DOI: https://doi.org/10.1007/BF00639712

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