R. Abgrall and S. Karni, Computations of Compressible Multifluids, Journal of Computational Physics, vol.169, issue.2, pp.594-623, 2001.
DOI : 10.1006/jcph.2000.6685

G. Allaire, G. Faccanoni, and S. Kokh, A strictly hyperbolic equilibrium phase transition model, Comptes Rendus Mathematique, vol.344, issue.2
DOI : 10.1016/j.crma.2006.11.008
URL : https://hal.archives-ouvertes.fr/hal-00976919

A. Ambroso, . Ch, F. Chalons, E. Coquel, J. Godlewski et al., The coupling of multiphase flow models, Proceedings of Nureth-11, 2005.

A. Ambroso, . Ch, F. Chalons, E. Coquel, F. Godlewski et al., Couplage de deux systèmes de la dynamique des gaz, Proceedings of Congrès Français de Mécanique, 2005.

A. Ambroso, . Ch, F. Chalons, E. Coquel, F. Godlewski et al., Homogeneous models with phase transition: coupling by Finite Volume methods, Proceedings of Finite volumes for complex applications IV Hermes Science plubisher, pp.483-392, 2005.

A. Ambroso, . Ch, F. Chalons, E. Coquel, F. Godlewski et al., Extension of Interface Coupling to General Lagrangian Systems, Proceedings of ENUMATH, 2005.
DOI : 10.1007/978-3-540-34288-5_84

T. Barberon, P. Helluy, and S. Rouy, Practical computation of axisymmetrical multifluid flows, Int. J. Finite Volumes, pp.1-34, 2003.
URL : https://hal.archives-ouvertes.fr/hal-00139598

F. Bouchut, Nonlinear stability of finite volume methods for hyperbolic conservation laws, and well-balanced schemes for source, Frontiers in Mathematics Series, 2004.

Z. Bilicki and J. Kestin, Physical Aspects of the Relaxation Model in Two-Phase Flow, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.428, issue.1875, pp.428379-397, 1875.
DOI : 10.1098/rspa.1990.0040

B. Boutin, Couplage de systèmes de lois de conservation scalaires par une régularisation de Dafermos, 2005.

F. Caetano, Sur certainsprobì emes de linéarisation et de couplage pour les systèmes hyperboliques non linéaires, 2006.

F. Caro, Modélisation et simulation numérique des transitions de phase liquide vapeur, 2004.

. Ch, P. Chalons, N. Raviart, and . Seguin, The interface coupling of the gas dynamics equations

F. Caro, F. Coquel, D. Jamet, and S. Kokh, DINMOD: A diffuse interface model for two-phase flows modelling, Numerical methods for hyperbolic and kinetic problems, IRMA lecture in mathematics and theoretical physics (Proceedings of the CEMRACS 2003), 2005.
DOI : 10.4171/012-1/10
URL : https://hal.archives-ouvertes.fr/hal-00112157

F. Caro, F. Coquel, D. Jamet, and S. Kokh, Phase Change Simulation for Isothermal Compressible Two-Phase Flows, 17th AIAA Computational Fluid Dynamics Conference, 2005.
DOI : 10.2514/6.2005-4697
URL : https://hal.archives-ouvertes.fr/hal-01135249

F. Caro, F. Coquel, D. Jamet, and S. Kokh, A Simple Finite-Volume Method for Compressible Isothermal Two-Phase Flows Simulation, Int. J. of Finite, 2006.
URL : https://hal.archives-ouvertes.fr/hal-01114190

. Ch and F. Chalons, Navier-Stokes equations with several independent pressure laws and explicit predictor-corrector schemes, Numer. Math, vol.101, issue.3, pp.451-478, 2005.

F. Coquel, E. Godlewski, B. Perthame, A. In, and M. Rascle, Some New Godunov and Relaxation Methods for Two-Phase Flow Problems, Godunov methods, pp.179-188, 1999.
DOI : 10.1007/978-1-4615-0663-8_18

B. Després, Symétrisation en variable de Lagrange pour la mécanique des milieux continus et schémas numériques, pp.45-61, 2003.

B. Després, Lagrangian systems of conservation laws, Numerische Mathematik, vol.89, issue.1, pp.99-134, 2001.
DOI : 10.1007/PL00005465

Z. Downar-zapolski, L. Bilicki, J. Bolle, and . Franco, The non-equilibrium relaxation model for one-dimensional flashing liquid flow, International Journal on Finite Volumes, pp.473-483, 1996.
DOI : 10.1016/0301-9322(95)00078-X

G. Faccanoni, Modélisation fine d'´ ecoulements diphasiques : contributionàcontribution`contributionà l'´ etude de la crise d'´ ebullition

E. Godlewski and P. Raviart, Numerical approximation of hyperbolic systems of conservation laws, Applied Mathematical Sciences, vol.118, 1996.
DOI : 10.1007/978-1-4612-0713-9

E. Godlewski and P. Raviart, The numerical interface coupling of nonlinear hyperbolic systems of conservation laws: I. The scalar case, Numerische Mathematik, vol.97, issue.1, pp.81-130, 2004.
DOI : 10.1007/s00211-002-0438-5

E. Godlewski, K. Thanh, and P. Raviart, The numerical interface coupling of nonlinear hyperbolic systems of conservation laws: II. The case of systems, ESAIM: Mathematical Modelling and Numerical Analysis, vol.39, issue.4, pp.649-692, 2005.
DOI : 10.1051/m2an:2005029
URL : https://hal.archives-ouvertes.fr/hal-00113734

J. Hérard, Schemes to Couple Flows Between Free and Porous Medium, 17th AIAA Computational Fluid Dynamics Conference, 2005.
DOI : 10.2514/6.2005-4861

J. Hérard and O. Hurisse, Coupling Two and One Dimensional Model Through a Thin Interface, 17th AIAA Computational Fluid Dynamics Conference, 2005.
DOI : 10.2514/6.2005-4718

J. Hérard and O. Hurisse, A method to couple two-phase flow models

]. S. Jaouen, ´ Etude mathématique et numérique de stabilité pour des modèles hydrodynamiques avec transition de phase, 2001.

. G. Ph and . Lefloch, Hyperbolic Systems of Conservation Laws: The theory of classical and nonclassical shock waves, E.T.H. Lecture Notes Series, 2002.

R. P. Fedkiw, T. Aslam, B. Merriman, and S. Osher, A Non-oscillatory Eulerian Approach to Interfaces in Multimaterial Flows (the Ghost Fluid Method), Journal of Computational Physics, vol.152, issue.2, pp.457-492, 1999.
DOI : 10.1006/jcph.1999.6236

J. Piraux and B. Lombard, A New Interface Method for Hyperbolic Problems with Discontinuous Coefficients: One-Dimensional Acoustic Example, Journal of Computational Physics, vol.168, issue.1, pp.227-248, 2001.
DOI : 10.1006/jcph.2001.6696
URL : https://hal.archives-ouvertes.fr/hal-00004811

V. V. Rusanov, The calculation of the interaction of non-stationary shock waves with barriers, Z. Vy?isl. Mat. i Mat. Fiz, vol.1, pp.267-279, 1961.

C. Zhang and R. J. Leveque, The immersed interface method for acoustic wave equations with discontinuous coefficients, Wave Motion, vol.25, issue.3, pp.237-263, 1997.
DOI : 10.1016/S0165-2125(97)00046-2