E. D. Andjel, Invariant Measures for the Zero Range Process, The Annals of Probability, vol.10, issue.3, pp.525-547, 1982.
DOI : 10.1214/aop/1176993765

E. Andjel, P. A. Ferrari, and A. Siqueira, Law of large numbers for the asymmetric exclusion process, Stoch. Process. Appl, vol.132, issue.2, pp.217-233, 2004.

E. D. Andjel and C. Kipnis, Derivation of the Hydrodynamical Equation for the Zero-Range Interaction Process, The Annals of Probability, vol.12, issue.2, pp.325-334, 1984.
DOI : 10.1214/aop/1176993293

E. D. Andjel and M. E. Vares, Hydrodynamic equations for attractive particle systems on ?, Journal of Statistical Physics, vol.38, issue.1-2, pp.265-288, 1987.
DOI : 10.1007/BF01009046

C. Bahadoran, Blockage hydrodynamics of one-dimensional driven conservative systems, The Annals of Probability, vol.32, issue.1B, pp.805-854, 2004.
DOI : 10.1214/aop/1079021465

C. Bahadoran, H. Guiol, K. Ravishankar, and E. Saada, A constructive approach to Euler hydrodynamics for attractive processes. Application to k-step exclusion, Stochastic Processes and their Applications, vol.99, issue.1, pp.1-30, 2002.
DOI : 10.1016/S0304-4149(01)00158-2
URL : https://hal.archives-ouvertes.fr/hal-00273611

C. Bahadoran, H. Guiol, K. Ravishankar, and E. Saada, Euler hydrodynamics of one-dimensional attractive particle systems, The Annals of Probability, vol.34, issue.4, pp.1339-1369, 2006.
DOI : 10.1214/009117906000000115
URL : https://hal.archives-ouvertes.fr/hal-00273608

C. Bahadoran, H. Guiol, K. Ravishankar, and E. Saada, Strong Hydrodynamic Limit for Attractive Particle Systems on $\mathbb{Z}$, Electronic Journal of Probability, vol.15, issue.0, pp.1-43, 2010.
DOI : 10.1214/EJP.v15-728
URL : http://projecteuclid.org/download/pdf_1/euclid.ejp/1464819786

C. Bahadoran, H. Guiol, K. Ravishankar, and E. Saada, Euler hydrodynamics for attractive particle systems in random environment, Annales de l'Institut Henri Poincar??, Probabilit??s et Statistiques, vol.50, issue.2, pp.403-424, 2014.
DOI : 10.1214/12-AIHP510
URL : https://hal.archives-ouvertes.fr/hal-00658559

C. Bahadoran, T. S. Mountford, K. Ravishankar, and E. Saada, Supercriticality conditions for asymmetric zero-range process with sitewise disorder, Brazilian Journal of Probability and Statistics, vol.29, issue.2, pp.313-335, 2015.
DOI : 10.1214/14-BJPS273
URL : https://hal.archives-ouvertes.fr/hal-01097968

C. Bahadoran, T. S. Mountford, K. Ravishankar, and E. Saada, Supercritical behavior of zero-range process with sitewise disorder. To appear in Ann, Inst. H. Poincaré Probab. Statist, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01099082

C. Bahadoran, T. S. Mountford, K. Ravishankar, and E. Saada, Supercritical hydrodynamics for asymmetric zero-range process with site disorder
DOI : 10.1214/14-bjps273
URL : http://arxiv.org/abs/1411.4318

C. Bahadoran, T. S. Mountford, K. Ravishankar, and E. Saada, Convergence and quenched local equilibrium for asymmetric zero-range process with site disorder
DOI : 10.1214/15-aihp736

D. P. Ballou, Solutions to nonlinear hyperbolic Cauchy problems without convexity conditions, Transactions of the American Mathematical Society, vol.152, issue.2, pp.441-460, 1970.
DOI : 10.1090/S0002-9947-1970-0435615-3

A. Benassi and J. P. Fouque, Hydrodynamical Limit for the Asymmetric Simple Exclusion Process, The Annals of Probability, vol.15, issue.2, pp.546-560, 1987.
DOI : 10.1214/aop/1176992158
URL : http://projecteuclid.org/download/pdf_1/euclid.aop/1176992158

I. Benjamini, P. A. Ferrari, and C. Landim, Asymmetric conservative processes with random rates, Stochastic Processes and their Applications, vol.61, issue.2, pp.181-204, 1996.
DOI : 10.1016/0304-4149(95)00077-1
URL : http://doi.org/10.1016/0304-4149(95)00077-1

M. Bramson and T. Mountford, Stationary blocking measures for onedimensional nonzero mean exclusion processes, Ann. Probab, vol.30, issue.3, pp.1082-1130, 2002.
DOI : 10.1214/aop/1029867122

A. Bressan, Hyperbolic systems of conservation laws, Revista Matem??tica Complutense, vol.12, issue.1, 2000.
DOI : 10.5209/rev_REMA.1999.v12.n1.17204

C. Cocozza-thivent, Processus des misanthropes, Zeitschrift f???r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol.5, issue.4, pp.509-523, 1985.
DOI : 10.1007/BF00531864

D. Pra, P. Louis, P. Y. Minelli, and I. , Realizable monotonicity for continuous-time Markov processes, Stochastic Processes and their Applications, vol.120, issue.6, pp.959-982, 2010.
DOI : 10.1016/j.spa.2010.03.002
URL : https://hal.archives-ouvertes.fr/hal-01283792

D. Masi, A. Presutti, and E. , Mathematical Methods for Hydrodynamic Limits, LN in Math. 1501, 1991.

M. R. Evans, Bose-Einstein condensation in disordered exclusion models and relation to traffic flow, Europhysics Letters (EPL), vol.36, issue.1, pp.13-18, 1996.
DOI : 10.1209/epl/i1996-00180-y

L. Fajfrovà, T. Gobron, and E. Saada, Invariant measures of mass migration processes, Electronic Journal of Probability, vol.21, issue.60, pp.1-52, 2016.
DOI : 10.1214/16-EJP4399

J. A. Fill and M. Machida, Stochastic monotonicity and realizable monotonicity, Ann. Probab, vol.29, issue.2, pp.938-978, 2001.

B. Fristedt and L. Gray, A modern approach to probability theory. Probability and its Applications, 1997.

J. Glimm, Solutions in the large for nonlinear hyperbolic systems of equations, Communications on Pure and Applied Mathematics, vol.12, issue.4, pp.697-715, 1965.
DOI : 10.1002/cpa.3160180408

T. Gobron and E. Saada, Couplings, attractiveness and hydrodynamics for conservative particle systems, Annales de l'Institut Henri Poincar??, Probabilit??s et Statistiques, vol.46, issue.4, pp.1132-1177, 2010.
DOI : 10.1214/09-AIHP347
URL : http://arxiv.org/pdf/0903.0316v1.pdf

E. Godlewski and P. A. Raviart, Hyperbolic systems of conservation laws, Mathématiques & Applications. Ellipses, 1991.
URL : https://hal.archives-ouvertes.fr/hal-00113734

H. Guiol, Some properties of k-step exclusion processes, J. Stat. Phys, vol.94, pp.3-4, 1999.
URL : https://hal.archives-ouvertes.fr/hal-00273547

T. Harris, Nearest-neighbor Markov interaction processes on multidimensional lattices, Advances in Mathematics, vol.9, issue.1, pp.66-89, 1972.
DOI : 10.1016/0001-8708(72)90030-8
URL : http://doi.org/10.1016/0001-8708(72)90030-8

T. E. Harris, Additive Set-Valued Markov Processes and Graphical Methods, The Annals of Probability, vol.6, issue.3, pp.355-378, 1978.
DOI : 10.1214/aop/1176995523

T. Kamae and U. Krengel, Stochastic Partial Ordering, The Annals of Probability, vol.6, issue.6, pp.1044-1049, 1978.
DOI : 10.1214/aop/1176995392
URL : http://projecteuclid.org/download/pdf_1/euclid.aop/1176995392

C. Kipnis and C. Landim, Scaling limits of interacting particle systems, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol.320, 1999.
DOI : 10.1007/978-3-662-03752-2

S. N. Kru?kov, FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES, Mathematics of the USSR-Sbornik, vol.10, issue.2, pp.217-243, 1970.
DOI : 10.1070/SM1970v010n02ABEH002156

T. M. Liggett, Coupling the Simple Exclusion Process, The Annals of Probability, vol.4, issue.3, pp.339-356, 1976.
DOI : 10.1214/aop/1176996084

T. M. Liggett, Interacting particle systems, Classics in Mathematics, 2005.
DOI : 10.1007/b138374
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.175.3652

T. M. Liggett and F. Spitzer, Ergodic theorems for coupled random walks and other systems with locally interacting components, Zeitschrift f???r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol.16, issue.4, pp.443-468, 1981.
DOI : 10.1007/BF00531427

T. S. Mountford, K. Ravishankar, and E. Saada, Macroscopic stability for nonfinite range kernels, Brazilian Journal of Probability and Statistics, vol.24, issue.2, pp.337-360, 2010.
DOI : 10.1214/09-BJPS034
URL : https://hal.archives-ouvertes.fr/hal-00365152

F. Rezakhanlou, Hydrodynamic limit for attractive particle systems on 417-1417-1417-1, Communications in Mathematical Physics, vol.58, issue.3, pp.417-448, 1991.
DOI : 10.1007/BF02099130

F. Rezakhanlou, Continuum Limit for Some Growth Models II, The Annals of Probability, vol.29, issue.3, pp.1329-1372, 2001.
DOI : 10.1214/aop/1015345605
URL : http://projecteuclid.org/download/pdf_1/euclid.aop/1015345605

H. Rost, Non-equilibrium behaviour of a many particle process: Density profile and local equilibria, Zeitschrift f???r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol.70, issue.1, pp.41-53, 1981.
DOI : 10.1007/BF00536194

T. Seppäläinen and J. Krug, Hydrodynamics and Platoon formation for a totally asymmetric exclusion model with particlewise disorder, J. Stat. Phys, vol.95, pp.3-4, 1999.

T. Seppäläinen, Existence of Hydrodynamics for the Totally Asymmetric Simple K -Exclusion Process, The Annals of Probability, vol.27, issue.1, pp.361-415, 1999.
DOI : 10.1214/aop/1022677266

D. Serre, Systems of conservation laws. 1. Hyperbolicity, entropies, shock waves. Translated from the 1996 French original by I. N. Sneddon, 1999.
URL : https://hal.archives-ouvertes.fr/ensl-01402415

H. Spohn, Large Scale Dynamics of Interacting Particles, 1991.
DOI : 10.1007/978-3-642-84371-6

V. Strassen, The Existence of Probability Measures with Given Marginals, The Annals of Mathematical Statistics, vol.36, issue.2, pp.423-439, 1965.
DOI : 10.1214/aoms/1177700153

J. M. Swart, A course in interacting particle systems, Preprint