The Riemann Function, Singular Entropies, and the Structure of Oscillations in Systems of two Conservation Laws

Athanasios Tzavaras

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Submission date: 13. Dec. 2002
Pages: 29
published in: Archive for rational mechanics and analysis, 169 (2003) 2, p. 119-145 
DOI number (of the published article): 10.1007/s00205-003-0261-x
Bibtex
MSC-Numbers: 35L65
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Abstract:
We use singular entropies, and the connection with the fundamental solution of the entropy equation and its adjoint operator, in order to derive a new formula describing the coupling of oscillations between the two characteristic fields in systems of two conservation laws.