Skip to main content
SpringerLink
Log in

Pressure shocks in relativistic viscous heat-conducting fluids

  • Published:
Astrophysics and Space Science Aims and scope Submit manuscript

Abstract

In this paper we have studied the propagation of pressure shocks in viscous, heat-conducting, relativistic fluids. Velocities of wave fronts and growth equations for the strength of the waves are obtained in the case of low and high temperatures with variable transport coefficients. On the basis of numerical integrations the growth equation results have been discussed. In the case of constant transport coefficients and for all admissible values of ratio of specific heats of the fluid, an analytical solution for the velocity of the wave as a function of distance along the normal trajectory to the wave front, has been obtained.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  • Anile, A. M., Miller, J. C., and Motta, S.: 1983,Phys. Fluids 26, 1454.

    Google Scholar 

  • Blandford, R. D. and McKee, C. F.: 1976,Phys. Fluids 19, 1130.

    Google Scholar 

  • de Groot, S. R., Van Leeuman, W. A., and Van Weert, Ch. G.: 1980,Relativistic Kinetic Theory: Principles and Applications, North-Holland Publ. Co., Amsterdam, p. 336.

    Google Scholar 

  • Eckart, C.: 1940,Phys. Rev. 58, 919.

    Google Scholar 

  • Galipo, M. P.: 1983a,Nuovo Cimento Letters 38, 233.

    Google Scholar 

  • Galipo, M. P.: 1983b,Nuovo Cimento Letters 38, 427.

    Google Scholar 

  • Galipo, M. P.: 1983c,Nuovo Cimento Letters 38, 544.

    Google Scholar 

  • Johnson, M. H. and McKee, C. F.: 1971,Phys. Rev. D3, 858.

    Google Scholar 

  • Kranyš, M.: 1966,Nuovo Cimento 42B, 51.

    Google Scholar 

  • Kranyš, M.: 1972,Arch. Rat. Mech. Anal. 48, 284.

    Google Scholar 

  • Lanza, A., Miller, J. C., and Motta, S.: 1985,Phys. Fluids 28, 97.

    Google Scholar 

  • Landau, L. D. and Lifshitz, E. M.: 1959,Fluid Mechanics, Pergamon Press, London.

    Google Scholar 

  • May, M. M. and White, R. H.: 1967,The Methods in Computational Physics, Academic Press, Vol. 7, pp. 219 and 237.

    Google Scholar 

  • McKee, C. and Colgate, S.: 1973,Astrophys. J. 181, 903.

    Google Scholar 

  • Misner, C. W.: 1968,Astrophys. J. 151, 431.

    Google Scholar 

  • Müller, I.: 1969,Arch. Rat. Mech. Anal. 34, 259.

    Google Scholar 

  • Nariboli, G. A.: 1969,Tensor N.S. 20, 162.

    Google Scholar 

  • Synge, J. L.: 1957,The Relativistic Gas, North-Holland Publ. Co., Amsterdam, p. 44.

    Google Scholar 

  • Taub, A. H.: 1948,Phys. Rev. 74, 332.

    Google Scholar 

  • Taub, A. H.: 1973,Comm. Math. Phys. 29, 82.

    Google Scholar 

  • Thomas, T. Y. and Edström, C. D.: 1961,Proc. U.S. Nat. Acad. Sci. 47, 319.

    Google Scholar 

  • Weinberg, S.: 1971,Astrophys. J. 168, 175.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Applied Mathematics, Indian Institute of Science, Bangalore, India

    M. S. Ganagi & A. V. Gopalakrishna

Authors
  1. M. S. Ganagi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. V. Gopalakrishna
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ganagi, M.S., Gopalakrishna, A.V. Pressure shocks in relativistic viscous heat-conducting fluids. Astrophys Space Sci 129, 281–292 (1987). https://doi.org/10.1007/BF00642646

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00642646

Keywords

Search

Navigation