Skip to main content
Log in

Nonuniqueness of admissible solutions of Riemann initial value problems for a system of conservation laws of mixed type

  • Published:
Archive for Rational Mechanics and Analysis Aims and scope Submit manuscript

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.

References

  1. G. E. Dieter, Mechanical Metallurgy, 2nd edition, 1976, McGraw-Hill.

  2. J. W. Hutchinson & K. W. Neale, Neck propagation, J. Mech. Phys. Solids 31 (1983), 405–426.

    Google Scholar 

  3. R. D. James, The propagation of phase boundaries in elastic bars, Arch. Rational Mech. Anal. 73 (1980), 125–158.

    Google Scholar 

  4. M. Shearer, Admissibility criteria for shock wave solutions of a system of conservation laws of mixed type, Proc. Roy. Soc. Edinburgh 93 A (1983), 233–244.

    Google Scholar 

  5. M. Shearer, The Riemann problem for a class of conservation laws of mixed type, J. Differential Equations 46 (1982), 426–443.

    Google Scholar 

  6. M. Slemrod, Admissibility criteria for propagating phase boundaries in a van der Waals fluid, Arch. Rational Mech. Anal. 81 (1983), 301–315.

    Google Scholar 

  7. M. Slemrod, unpublished notes.

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by C. Dafermos

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shearer, M. Nonuniqueness of admissible solutions of Riemann initial value problems for a system of conservation laws of mixed type. Arch. Rational Mech. Anal. 93, 45–59 (1986). https://doi.org/10.1007/BF00250844

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00250844

Keywords

Navigation