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Generalised characteristics in hyperbolic systems of conservation laws with special coupling

Published online by Cambridge University Press:  14 November 2011

C. M. Dafermos  and
X. Geng
C. M. Dafermos
Affiliation:
Lefschetz Center for Dynamical Systems, Division of Applied Mathematics, Brown University, Providence, RI 03912, U.S.A.
X. Geng
Affiliation:
Lefschetz Center for Dynamical Systems, Division of Applied Mathematics, Brown University, Providence, RI 03912, U.S.A.
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Synopsis

Using the theory of generalised characteristics, we study the structure of BV solutions of genuinely nonlinear systems of two conservation laws whose shock and rarefaction wave curves of the first family are straight lines. We also establish a priori estimates on the variation of the solution similar to those obtained earlier by Glimm and Lax.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 116 , Issue 3-4 , 1990 , pp. 245 - 278
Copyright
Copyright © Royal Society of Edinburgh 1990

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References

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