N. Aguillon, Riemann problem for a particle???fluid coupling, Mathematical Models and Methods in Applied Sciences, vol.25, issue.01, 2014.
DOI : 10.1142/S0218202515500025
URL : https://hal.archives-ouvertes.fr/hal-00916234

B. Andreianov, K. H. Karlsen, and N. H. Risebro, On vanishing viscosity approximation of conservation laws with discontinuous flux, Netw. Heterog. Media, vol.5, issue.3, pp.617-633, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00438203

B. Andreianov, K. H. Karlsen, and N. H. Risebro, A Theory of L 1-Dissipative Solvers for Scalar Conservation Laws with Discontinuous Flux, Archive for Rational Mechanics and Analysis, vol.2, issue.2, 2011.
DOI : 10.1007/s00205-010-0389-4
URL : https://hal.archives-ouvertes.fr/hal-00475840

B. Andreianov, F. Lagoutière, N. Seguin, and T. Takahashi, Small solids in an inviscid fluid, Netw. Heterog. Media, vol.5, issue.3, pp.385-404, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00590617

B. Andreianov, F. Lagoutière, N. Seguin, and T. Takahashi, Well-Posedness for a One-Dimensional Fluid-Particle Interaction Model, SIAM Journal on Mathematical Analysis, vol.46, issue.2, 2013.
DOI : 10.1137/130907963
URL : https://hal.archives-ouvertes.fr/hal-00789315

[. Andreianov and N. Seguin, Analysis of a Burgers equation with singular resonant source term and convergence of well-balanced schemes, Discrete Contin. Dyn. Syst, vol.32, issue.6, pp.1939-1964, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00576959

R. Borsche, R. M. Colombo, and M. Garavello, On the interactions between a solid body and a compressible inviscid fluid. Interfaces Free Bound, pp.381-403, 2013.

C. Bardos, A. Leroux, and J. Nédélec, First order quasilinear equations with boundary conditions, Communications in Partial Differential Equations, vol.2, issue.33, pp.1017-10343036, 1979.
DOI : 10.1090/S0025-5718-1977-0478651-3

G. Michael, L. Crandall, and . Tartar, Some relations between nonexpansive and order preserving mappings, Proc. Amer, pp.385-390, 1980.

A. Harten, On a Class of High Resolution Total-Variation-Stable Finite-Difference Schemes, SIAM Journal on Numerical Analysis, vol.21, issue.1, pp.1-23, 1984.
DOI : 10.1137/0721001

M. Hillairet, Asymptotic collisions between solid particles in a Burgers-Hopf fluid, Asymptot. Anal, vol.43, issue.4, pp.323-338, 2005.

A. Leroux, A numerical conception of entropy for quasi-linear equations, Math. Comp, issue.140, pp.31848-872, 1977.

F. Lagoutière, N. Seguin, and T. Takahashi, A simple 1D model of inviscid fluid???solid interaction, Journal of Differential Equations, vol.245, issue.11, pp.3503-3544, 2008.
DOI : 10.1016/j.jde.2008.03.011

E. Yu and . Panov, Existence of strong traces for quasi-solutions of multidimensional conservation laws, J. Hyperbolic Differ. Equ, vol.4, issue.4, pp.729-770, 2007.

A. Vasseur, Strong Traces for Solutions of Multidimensional Scalar Conservation Laws, Archive for Rational Mechanics and Analysis, vol.160, issue.3, pp.181-193, 2001.
DOI : 10.1007/s002050100157

J. Vovelle, Convergence of finite volume monotone schemes for scalar conservation laws on bounded domains, Numerische Mathematik, vol.90, issue.3, pp.563-596, 2002.
DOI : 10.1007/s002110100307

J. Luis, V. , and E. Zuazua, Large time behavior for a simplified 1D model of fluid-solid interaction, Comm. Partial Differential Equations, vol.28, issue.9-10, pp.1705-1738, 2003.

J. Luis, V. , and E. Zuazua, Lack of collision in a simplified 1D model for fluid-solid interaction, Math. Models Methods Appl. Sci, vol.16, issue.5, pp.637-678, 2006.