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March 2006 The Riemann problem for a simple model of phase transition
Edwige Godlewski, Nicolas Seguin
Commun. Math. Sci. 4(1): 227-247 (March 2006).


We consider in this paper a simple model of liquid-vapor phase transition. The PDE system corresponds to the isothermal $p$-system and the pressure law is defined for all positive density and involves a constant zone. Such a pressure law can occur for instance when considering the Van der Waals equation of state complemented by the Maxwell's law. The Riemann problem is globally solved for all initial states, as well in the pure phases as in the mixture zone.


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Edwige Godlewski. Nicolas Seguin. "The Riemann problem for a simple model of phase transition." Commun. Math. Sci. 4 (1) 227 - 247, March 2006.


Published: March 2006
First available in Project Euclid: 24 April 2006

MathSciNet: MR2204085

Rights: Copyright © 2006 International Press of Boston

Vol.4 • No. 1 • March 2006
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