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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
109/2002

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

Athanasios Tzavaras

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.

Received:
Dec 13, 2002
Published:
Dec 13, 2002
MSC Codes:
35L65

Related publications

inJournal
2003 Repository Open Access
Athanasios Tzavaras

The Riemann function, singular entropies, and the structure of oscillations in systems of two conservation laws

In: Archive for rational mechanics and analysis, 169 (2003) 2, pp. 119-145