Advances in Differential Equations

Codimension-one Riemann solutions: missing rarefactions in transitional wave groups

Stephen Schecter

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This paper is the fourth in a series that undertakes a systematic investigation of Riemann solutions of systems of two conservation laws in one spatial dimension. In this paper, three degeneracies that can occur only in transitional wave groups, together with the degeneracies that pair with them, are studied in detail. Conditions for a codimension-one degeneracy are identified in each case, as are conditions for folding of the Riemann solution surface.

Article information

Adv. Differential Equations, Volume 5, Number 7-9 (2000), 929-975.

First available in Project Euclid: 27 December 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35L65: Conservation laws
Secondary: 34C99: None of the above, but in this section 35L67: Shocks and singularities [See also 58Kxx, 76L05]


Schecter, Stephen. Codimension-one Riemann solutions: missing rarefactions in transitional wave groups. Adv. Differential Equations 5 (2000), no. 7-9, 929--975.

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