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Relativistic Hydrodynamics in One Dimension

Montgomery H. Johnson*

Christopher F. McKee†

  • Department of Applied Science, University of California, Davis-Livermore and Lawrence Radiation Laboratory, University of California, Livermore, California 94550

  • Lawrence Radiation Laboratory, University of California, Livermore, California 94550

  • *Permanent address: Philco-Ford, Newport Beach, Calif.
  • †Present address: Hale Observatories, Carnegie Institution of Washington, California Institute of Technology, Pasadena, Calif. 91109.
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Phys. Rev. D 3, 858 – Published 15 February, 1971

DOI: https://doi.org/10.1103/PhysRevD.3.858

Abstract

Hydrodynamic equations for one-dimensional motion, of interest in supernova explosions, are integrated in the relativistic limit. A simple solution is found for free expansion into a vacuum. The propagation of a shock into a medium of decreasing density is determined, and the solution for the subsequent flow behind the shock is also obtained.

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References (7)

  1. S. A. Colgate and M. H. Johnson, Phys. Rev. Letters 5, 235 (1960)
  2. L. D. Landau and E. M. Lifschitz, Fluid Mechanics (Addison-Wesley, Reading, Mass., 1959)
  3. C. F. McKee, Astrophys. J. 151, 647 (1968)
  4. E. Teller (unpublished)
  5. A. H. Taub, Phys. Rev. 74, 328 (1948)
  6. A. H. Taub, Phys. Rev. 107, 884 (1957)
  7. R. Grover and J. W. Hardy, Astrophys. J. 143, 48 (1966)

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Phys. Rev. D 3, 858– Published 15 February, 1971
  • Received 10 August 1970

© 1971 American Physical Society

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