Preprint 46/2000

Sonic hyperbolic phase transitions and Chapman-Jouguet detonations

Rinaldo M. Colombo and Andrea Corli

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Submission date: 08. Aug. 2000
Pages: 23
published in: Journal of differential equations, 184 (2002) 2, p. 321-347 
DOI number (of the published article): 10.1006/jdeq.2001.4131

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.

24.11.2021, 02:11