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

Athanasios E. Tzavaras*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish (US)
Pages (from-to)119-145
Number of pages27
JournalArchive for Rational Mechanics and Analysis
Volume169
Issue number2
DOIs
StatePublished - Sep 2003
Externally publishedYes

ASJC Scopus subject areas

  • Analysis
  • Mathematics (miscellaneous)
  • Mechanical Engineering

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