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MiS Preprint Repository

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
46/2000

Sonic hyperbolic phase transitions and Chapman-Jouguet detonations

Rinaldo M. Colombo and Andrea Corli

Abstract

We prove that the Cauchy problem for an n x n system of strictly hyperbolic conservation laws in one space dimension admits a weak global solution also in presence of sonic phase boundaries. Applications to Chapman-Jouguet detonations, liquid-vapour transitions and elastodynamics are considered.

Received:
Aug 8, 2000
Published:
Aug 8, 2000

Related publications

inJournal
2002 Repository Open Access
Rinaldo M. Colombo and Andrea Corli

Sonic hyperbolic phase transitions and Chapman-Jouguet detonations

In: Journal of differential equations, 184 (2002) 2, pp. 321-347