A New Glimm Functional and Convergence Rate of Glimm Scheme for General Systems of Hyperbolic Conservation Laws

@inproceedings{Hua2008ANG,
  title={A New Glimm Functional and Convergence Rate of Glimm Scheme for General Systems of Hyperbolic Conservation Laws},
  author={Jiale Hua and Zaihong Jiang and Tong Yang},
  year={2008}
}
In this paper, we introduce a new Glimm functional for general systems of hyperbolic conservation laws. This new functional is consistent with the classical Glimm functional for the case when each characteristic field is either genuinely nonlinear or linearly degenerate so that it can be viewed as “optimal” in some sense. With this new functional, the consistency of the Glimm scheme is proved clearly for general systems. Moreover, the convergence rate of the Glimm scheme is shown to be the same… CONTINUE READING

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Referenced Papers

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Showing 1-10 of 38 references

Weak solutions of general systems of hyperbolic conservation laws

  • Liu, T.-P, T. Yang
  • Commun. Math. Phys. 230,
  • 2002
Highly Influential
10 Excerpts

Solutions in the large for nonlinear hyperbolic systems of equations, Comm

  • J. Glimm
  • Pure Appl. Math
  • 1965
Highly Influential
4 Excerpts

Hyperbolic systems of conservation laws II, Comm

  • P. D. Lax
  • Pure Appl. Math. 10(1957),
  • 1957
Highly Influential
1 Excerpt

An improved convergence rate of Glimm scheme for general systems of hyperbolic conservation laws

  • Jiale Hua, Tong Yang
  • Journal of Differential Equations,
  • 2006
1 Excerpt

Convergence rate of Glimm scheme for general systems of hyperbolic conservation laws

  • T. Yang
  • Taiwanese journal of mathematics,
  • 2003
1 Excerpt

Existence theory for hyperbolic systems of conservation laws with general flux-functions

  • P LeFloch., T. Iguchi
  • Arch. Ration. Mech. Anal
  • 2003

On the Riemann Problem for Non - Conservative Hyperbolic Systems

  • S. Bianchini
  • Arch . Rational Mech . Anal
  • 2003

On the Riemann Problem for Non-Conservative Hyperbolic Systems, Arch

  • S. Bianchini
  • Rational Mech. Anal,
  • 2003
1 Excerpt

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