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Convergence of Approximate Solutions to Some Systems of Conservative Laws: A Conjecture on the Product of the Riemann Invariants

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Oscillation Theory, Computation, and Methods of Compensated Compactness

Part of the book series: The IMA Volumes in Mathematics and Its Applications ((IMA,volume 2))

Abstract

The idea of applying the Compensated Compactness theory to hyperbolic systems of conservation laws was originated by L. Tartar [12]. He treated the scalar case (without any information on the derivatives) and proposed a strategy for the 2×2 case.

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References

  1. R.J. DiPerna, Convergences of Approximate Solutions to Conservation Laws, Arch. Rat. Mech. Anal., 82, (1983), 27–70.

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Author information

Authors and Affiliations

  1. Analyse Numérique, Université de St. Etienne, 42023, St. Etienne Cedex, France

    Michel Rascle

  2. Lefschetz Center for Dynamical Systems Division of Applied Mathematics, Brown University, Providence, RI, 02912, USA

    Michel Rascle

Authors
  1. Michel Rascle
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Editor information

Editors and Affiliations

  1. Division of Applied Mathematics, Brown University, Providence, RI, 02912, USA

    Constantine Dafermos

  2. School of Mathematics and Department of Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, MN, 55455, USA

    J. L. Ericksen

  3. School of Mathematics, University of Minnesota, Minneapolis, MN, 55455, USA

    David Kinderlehrer

  4. Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, NY, 12180, USA

    Marshall Slemrod

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© 1986 Springer-Verlag New York Inc.

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Rascle, M. (1986). Convergence of Approximate Solutions to Some Systems of Conservative Laws: A Conjecture on the Product of the Riemann Invariants. In: Dafermos, C., Ericksen, J.L., Kinderlehrer, D., Slemrod, M. (eds) Oscillation Theory, Computation, and Methods of Compensated Compactness. The IMA Volumes in Mathematics and Its Applications, vol 2. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8689-6_10

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  • DOI: https://doi.org/10.1007/978-1-4613-8689-6_10

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-8691-9

  • Online ISBN: 978-1-4613-8689-6

  • eBook Packages: Springer Book Archive

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