Sonic Hyperbolic Phase Transitions and Chapman-Jouguet Detonations |
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| Authors: | Rinaldo M. ColomboAndrea Corli |
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| Affiliation: | a Department of Mathematics, University of Brescia, Via Valotti, 9-25133, Brescia, Italyf1rinaldo@ing.unibs.itf1b Department of Mathematics, University of Bari, Via Orabona, 4-70125, Bari, Italyf2crl@unife.itf2 |
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| Abstract: | We prove that the Cauchy problem for an n×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-vapor transitions and elastodynamics are considered. |
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| Keywords: | conservation laws phase boundaries Chapman-Jouguet detonations. |
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