L. Ambrosio, N. Fusco, and D. Pallara, Functions of bounded variation and free discontinuity problems, 2000.

L. Ambrosio, N. Gigli, and G. Savaré, Gradient flows: in metric spaces and in the space of probability measures, 2008.

D. D. Bainov and P. S. Simeonov, Integral inequalities and applications, vol.57, 2013.

F. Berthelin, Existence and weak stability for a pressureless model with unilateral constraint, Mathematical Models and Methods in Applied Sciences, vol.12, pp.249-272, 2002.

F. Bouchut, On zero pressure gas dynamics, advances in kinetic theory and computing, Ser. Adv. Math. Appl. Sci, vol.22, pp.171-190, 1994.

F. Bouchut, Y. Brenier, J. Cortes, and J. Ripoll, A hierarchy of models for two-phase flows, Journal of NonLinear Science, vol.10, pp.639-660, 2000.

L. Boudin, A solution with bounded expansion rate to the model of viscous pressureless gases, SIAM Journal on Mathematical Analysis, vol.32, pp.172-193, 2000.

Y. Brenier, W. Gangbo, G. Savaré, and M. Westdickenberg, Sticky particle dynamics with interactions, Journal de Mathématiques Pures et Appliquées, vol.99, pp.577-617, 2013.
DOI : 10.1016/j.matpur.2012.09.013
URL : https://doi.org/10.1016/j.matpur.2012.09.013

Y. Brenier and E. Grenier, Sticky particles and scalar conservation laws, SIAM journal on numerical analysis, vol.35, pp.2317-2328, 1998.
DOI : 10.1137/s0036142997317353

F. Cavalletti, M. Sedjro, and M. Westdickenberg, A simple proof of global existence for the 1d pressureless gas dynamics equations, SIAM Journal on Mathematical Analysis, vol.47, pp.66-79, 2015.

P. Degond, P. Minakowski, and E. Zatorska, Transport of congestion in the two-phase compressible/incompressible flow, Nonlinear Analysis: Real World Applications, vol.42, pp.485-510, 2018.

P. Degond, P. Minakowski, L. Navoret, and E. Zatorska, Finite Volume approximations of the Euler system with variable congestion, Computers & Fluids, vol.169, pp.23-39, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01651479

P. Jabin, R. , and T. , Hydrodynamic limit of granular gases to pressureless Euler in dimension 1, Quart. Appl. Math, vol.75, issue.1, pp.155-179, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01279961

D. Lannes, On the dynamics of floating structures, Annals of PDE, vol.3, issue.1, p.11, 2017.
DOI : 10.1007/s40818-017-0029-5
URL : https://hal.archives-ouvertes.fr/hal-01366200

A. Lefebvre, Modélisation numérique d'écoulements fluide-particules: prise en compte des forces de lubrification, 2007.

A. Lefebvre-lepot, M. , and B. , Micro-macro modelling of an array of spheres interacting through lubrication forces, Advances in Mathematical Sciences and Applications, vol.21, p.535, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00257250

B. Maury, A gluey particle model, ESAIM: Proceedings (2007), vol.18, pp.133-142
DOI : 10.1051/proc:071811
URL : https://www.esaim-proc.org/articles/proc/pdf/2007/03/proc071811.pdf

B. Maury, P. , and A. , Pressureless Euler equations with maximal density constraint : a timesplitting scheme, 2015.
DOI : 10.1515/9783110430417-014
URL : https://hal.archives-ouvertes.fr/hal-01224008

L. Natile and G. Savaré, A wasserstein approach to the one-dimensional sticky particle system, SIAM Journal on Mathematical Analysis, vol.41, pp.1340-1365, 2009.
DOI : 10.1137/090750809
URL : http://cvgmt.sns.it/papers/natsav09/sticky_arxiv2.pdf

C. Perrin, Modelling of phase transitions in one-dimensional granular flows, ESAIM: Proceedings and Surveys, vol.58, pp.78-97, 2017.

C. Perrin, Pressure-dependent viscosity model for granular media obtained from compressible Navier-Stokes equations, Applied Mathematics Research, vol.2016, pp.289-333, 2016.

C. Perrin and E. Zatorska, Free/congested two-phase model from weak solutions to multidimensional compressible Navier-Stokes equations, Communications in Partial Differential Equations, vol.40, pp.1558-1589, 2015.

A. Preux, Transport optimal et équations des gaz sans pression avec contrainte de densité maximale, 2016.

S. T. Rachev, R. , and L. , Mass transportation problems, Probability and its Applications, 1998.

F. Santambrogio, Optimal transport for applied mathematicians, vol.87, 2015.

A. N. Sobolevskii, The small viscosity method for a one-dimensional system of equations of gas dynamic type without pressure, Dokl. Akad. Nauk, vol.356, pp.310-312, 1997.

G. Wolansky, Dynamics of a system of sticking particles of finite size on the line, Nonlinearity, vol.20, p.2175, 2007.

Y. B. Zel'dovich, Gravitational instability: An approximate theory for large density perturbations, Astronomy and astrophysics, vol.5, pp.84-89, 1970.