A. Ambroso, C. Chalons, F. Coquel, E. Godlewski, F. Lagoutiere et al., Homogeneous two-phase flows: coupling by Finite Volume methods, Proceedings of FVCA IV, 2005.

A. Ambroso, C. Chalons, F. Coquel, E. Godlewski, F. Lagoutiere et al., Coupling of multiphase flows, Proceedings of NURETH11, 2005.

F. Bachmann, Analysis of a scalar conservation law with a flux function with discontinuous coefficients, Advances in Differential Equations, pp.1317-1338, 2004.

F. Bachmann and J. Vovelle, Existence and Uniqueness of Entropy Solution of Scalar Conservation Laws with a Flux Function Involving Discontinuous Coefficients, Communications in Partial Differential Equations, vol.39, issue.3, 2006.
DOI : 10.1142/S0218202503002477
URL : https://hal.archives-ouvertes.fr/hal-00447307

F. Bachmann, Finite Volume schemes for a non linear hyperbolic conservation law with a flux function involving discontinuous coefficients, Int. J. of Finite Volumes, vol.3, issue.1, 2006.

T. Buffard, T. Gallouët, and J. M. Hérard, A sequel to a rough Godunov scheme. Application to real gas flows, Computers and Fluids, pp.29-36, 2000.

A. Chinnayya, A. Leroux, and N. S. Seguin, A well balanced numerical scheme for the approximation of the shallow-water equations with topography: the resonance phenomenon, Int. J. of Finite Volumes, vol.1, issue.1, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00017378

B. Einfeldt, C. D. Munz, P. L. Roe, and B. Sjögreen, On Godunov-type methods near low densities, Journal of Computational Physics, vol.92, issue.2, pp.273-295, 1991.
DOI : 10.1016/0021-9991(91)90211-3

T. Gallouët, J. M. Hérard, and N. S. Seguin, Some approximate Godunov schemes to compute shallow-water equations with topography, Computers and Fluids, pp.479-513, 2003.

T. Gallouët and J. M. Masella, A rough Godunov scheme, Comptes Rendus Académie des Sciences de Paris, pp.323-77, 1996.

P. Goatin, P. G. Le, and . Floch, The Riemann problem for a class of resonant hyperbolic systems of balance laws, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.21, issue.6, pp.881-902, 2004.
DOI : 10.1016/j.anihpc.2004.02.002

E. Godlewski, K. C. Le-thanh, and P. A. 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

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

E. Godlewski and P. A. 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

S. K. Godunov, A difference method for numerical calculation of discontinuous equations of hydrodynamics, Mat. Sb, pp.271-300, 1959.

L. Gosse, A well-balanced flux-vector splitting scheme designed for hyperbolic systems of conservation laws with source terms, Computers & Mathematics with Applications, vol.39, issue.9-10, pp.135-159, 2000.
DOI : 10.1016/S0898-1221(00)00093-6

L. Gosse, A well balanced flux splitting scheme using non conservative products designed for hyperbolic systems of conservation laws with source terms, Math. Mod and Meth. in Appl. Sciences, vol.70, pp.339-365, 2001.

L. Gosse and A. Y. Leroux, Un schémá equilibre adapté aux lois de conservation scalaires non homogènes, pp.323-543, 1996.
DOI : 10.1016/s0764-4442(99)80466-2

J. M. Greenberg and A. Y. Leroux, A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations, SIAM Journal on Numerical Analysis, vol.33, issue.1, pp.1-16, 1996.
DOI : 10.1137/0733001

J. M. Greenberg, A. Y. Leroux, R. Baraille, and A. Noussair, Analysis and Approximation of Conservation Laws with Source Terms, SIAM Journal on Numerical Analysis, vol.34, issue.5, pp.1980-2007, 1997.
DOI : 10.1137/S0036142995286751

J. M. Herard, Naive schemes to couple isentropic flows between free and porous medium, internal EDF report HI-81, p.2004

J. M. Herard 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

E. Isaacson and B. Temple, Convergence of the $2 \times 2$ Godunov Method for a General Resonant Nonlinear Balance Law, SIAM Journal on Applied Mathematics, vol.55, issue.3, pp.625-640, 1995.
DOI : 10.1137/S0036139992240711

A. Y. Leroux, Discrétisation de termes sources raides dans lesprobì emes hyperboliques

C. Klingenberg and N. H. Risebro, Convex conservation laws with discontinuous coefficients. existence, uniqueness and asymptotic behavior, Communications in Partial Differential Equations, vol.22, issue.11-12, pp.1959-1990, 1995.
DOI : 10.1080/03605309508821159

K. H. Karlsen and N. H. Risebro, Convergence of finite difference schemes for viscous and inviscid conservation laws with rough coefficients, ESAIM: Mathematical Modelling and Numerical Analysis, vol.35, issue.2, pp.239-269, 2001.
DOI : 10.1051/m2an:2001114

K. H. Karlsen, N. H. Risebro, and J. D. Towers, Upwind difference approximations for degenerate parabolic convection-diffusion equations with a discontinuous coefficient, IMA Journal of Numerical Analysis, vol.22, issue.4, pp.623-664, 2002.
DOI : 10.1093/imanum/22.4.623

N. Seguin, Private communication, 02, 2006.

N. Seguin and J. Vovelle, ANALYSIS AND APPROXIMATION OF A SCALAR CONSERVATION LAW WITH A FLUX FUNCTION WITH DISCONTINUOUS COEFFICIENTS, Mathematical Models and Methods in Applied Sciences, vol.13, issue.02, pp.221-250, 2003.
DOI : 10.1142/S0218202503002477
URL : https://hal.archives-ouvertes.fr/hal-01376535

A. Vasseur, Well-posedness of scalar conservation laws with singular sources, Methods and Applications of Analysis, vol.9, issue.2, pp.291-312, 2002.
DOI : 10.4310/MAA.2002.v9.n2.a6