Skip to main content
SpringerLink
Log in

The Riemann problem for the system \(u_1 + \sigma _x = 0{\text{ and }}(\sigma - f(u))_t + (\sigma - uf(u))\)

  • 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

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

  1. Greenberg, J. M., Existence of Steady Waves for a Class of Nonlinear Dissipative Materials, Quart. Appl. Math. 26, 27–34 (1968).

    MATH  Google Scholar 

  2. Greenberg, J. M., A-Priori Estimates for Flows in Dissipative Materials, J. Math. Anal. Appl. 60, 617–630 (1977).

    Article  MATH  MathSciNet  Google Scholar 

  3. Glimm, J., Solution in the Large for Nonlinear Hyperbolic Systems of Equations, Comm. Pure Appl. Math. 18, 697–715 (1965).

    MATH  MathSciNet  Google Scholar 

  4. Greenberg, J. M., The Existence and Qualitative Properties of the Solution of ie108-003 J. Math. Anal. Appl. 42, 205–220 (1973).

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, The Ohio State University, USA

    J. M. greenberg & L. Hsiao

  2. Academia Sinica of China, China

    J. M. greenberg & L. Hsiao

Authors
  1. J. M. greenberg
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. L. Hsiao
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by C. Dafermos

This study, completed while Greenberg was visiting the Mathematics Research Center at the University of Wisconsin-Madison, was sponsored in part by the United States Army under Contract No. DAAG 29-80-C-0041 and by the United States National Science Foundation under Grant No. MCS 80-18531.

Rights and permissions

Reprints and permissions

About this article

Cite this article

greenberg, J.M., Hsiao, L. The Riemann problem for the system \(u_1 + \sigma _x = 0{\text{ and }}(\sigma - f(u))_t + (\sigma - uf(u))\) . Arch. Rational Mech. Anal. 82, 87–108 (1983). https://doi.org/10.1007/BF00251726

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00251726

Keywords

Search

Navigation