Skip to main content
Log in

The jump in vorticity across a shock wave in relativistic hydrodynamics

  • Published:
Communications in Mathematical Physics Aims and scope Submit manuscript

Abstract

Using the singular surface theory, an expression for the jump in vorticity across a shock wave of arbitrary shape propagating in a uniform, perfect fluid occupying the space-time of special relativity, has been derived. It has been shown that the jump in vorticity across a shock of given strength and curvature depends only on the velocity of the medium ahead of the shock.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Taub, A.H.: Phys. Rev.74, 328–334 (1948)

    Google Scholar 

  2. Johnson, M.H., McKee, Ch.F.: Phys. Rev. D.3, 858–863 (1971)

    Google Scholar 

  3. Truesdell, C.: J. Aero. Sci.19, 826–828 (1952)

    Google Scholar 

  4. Lighthill, M.J.: J. Fluid Mech.2, 1–32 (1957)

    Google Scholar 

  5. Hayes, W.D.: J. Fluid Mech.2, 595–600 (1957)

    Google Scholar 

  6. Taub, A.H.: Phys. Rev.74, 328–334 (1948)

    Google Scholar 

  7. Thomas, T.Y.: J. Math. Anal. Appl.7, 225–246 (1963)

    Google Scholar 

  8. Nariboli, G.A.: Tensor, N.S.20, 161–166 (1969)

    Google Scholar 

  9. Taub, A.H.: Arch. Rat. Mech. Anal.3, 312–324 (1959)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by J. Ehlers

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gopalakrishna, A.V. The jump in vorticity across a shock wave in relativistic hydrodynamics. Commun.Math. Phys. 44, 39–44 (1975). https://doi.org/10.1007/BF01609056

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01609056

Keywords

Navigation