G. Bal and A. Jollivet, Generalized stability estimates in inverse transport theory, Inverse Probl. Imaging, vol.12, pp.59-90, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01480904

J. Benamou and Y. Brenier, A computational fluid mechanics solution to the MongeKantorovich mass transfer problem, Numer. Math, vol.84, pp.375-393, 2000.

F. Bolley, Y. Brenier, and G. Loeper, Contractive metrics for scalar conservation laws, J. Hyperbolic Differ. Equ, vol.2, pp.91-107, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00453877

F. Bolley and J. A. Carrillo, Tanaka theorem for inelastic Maxwell models, Comm. Math. Phys, vol.276, pp.287-314, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00022846

F. Bolley and J. A. Carrillo, Nonlinear diffusion: geodesic convexity is equivalent to Wasserstein contraction, Comm. Partial Differential Equations, vol.39, pp.1860-1869, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00859401

F. Bolley, I. Gentil, and A. Guillin, Convergence to equilibrium in Wasserstein distance for Fokker-Planck equations, J. Funct. Anal, vol.263, pp.2430-2457, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00632941

, Uniform convergence to equilibrium for granular media, Arch. Ration. Mech. Anal, vol.208, pp.429-445, 2013.

L. Brasco, G. Carlier, and F. Santambrogio, Congested traffic dynamics, weak flows and very degenerate elliptic equations, J. Math. Pures Appl, issue.9, pp.652-671, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00417462

Y. Brenier, Polar factorization and monotone rearrangement of vector-valued functions, Comm. Pure Appl. Math, vol.44, pp.375-417, 1991.

V. Calvez and J. A. Carrillo, Refined asymptotics for the subcritical Keller-Segel system and related functional inequalities, Proc. Amer. Math. Soc, vol.140, pp.3515-3530, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00503203

J. A. Carrillo, M. D. Francesco, and G. Toscani, Strict contractivity of the 2-Wasserstein distance for the porous medium equation by mass-centering, Proc. Amer. Math. Soc, vol.135, pp.353-363, 2007.

J. A. Carrillo, R. J. Mccann, and C. Villani, Contractions in the 2-Wasserstein length space and thermalization of granular media, Arch. Ration. Mech. Anal, vol.179, pp.217-263, 2006.

J. A. Carrillo and G. Toscani, Contractive probability metrics and asymptotic behavior of dissipative kinetic equations, Riv. Mat. Univ. Parma, vol.6, issue.7, pp.75-198, 2007.

K. Craig, I. Kim, and Y. Yao, Congested aggregation via Newtonian interaction, Arch. Ration. Mech. Anal, vol.227, pp.1-67, 2018.

R. J. Diperna and P. Lions, Ordinary differential equations, transport theory and Sobolev spaces, Invent. Math, vol.98, pp.511-547, 1989.

A. Figalli, Existence and uniqueness of martingale solutions for SDEs with rough or degenerate coefficients, J. Funct. Anal, vol.254, pp.109-153, 2008.

N. Fournier, On pathwise uniqueness for stochastic differential equations driven by stable Lévy processes, Ann. Inst. Henri Poincaré Probab. Stat, vol.49, pp.138-159, 2013.

N. Fournier and E. Löcherbach, On a toy model of interacting neurons, Ann. Inst. Henri Poincaré Probab. Stat, vol.52, pp.1844-1876, 2016.

C. E. Gutiérrez, The Monge-Ampère equation, Progress in Nonlinear Differential Equations and their Applications, vol.89, 2016.

R. Jordan, D. Kinderlehrer, and F. Otto, The variational formulation of the FokkerPlanck equation, SIAM J. Math. Anal, vol.29, pp.1-17, 1998.

T. Komatsu, On the pathwise uniqueness of solutions of one-dimensional stochastic differential equations of jump type, Proc. Japan Acad. Ser. A Math. Sci, vol.58, pp.353-356, 1982.

J. Gall, Applications du temps local auxéquationsauxéquations différentielles stochastiques unidimensionnelles, Seminar on probability, XVII, vol.986, pp.15-31, 1983.

B. Maury, A. Roudneff-chupin, and F. Santambrogio, Congestion-driven dendritic growth, Discrete Contin. Dyn. Syst, vol.34, pp.1575-1604, 2014.

F. Otto, The geometry of dissipative evolution equations: the porous medium equation, Comm. Partial Differential Equations, vol.26, pp.101-174, 2001.

M. Pierre, Global existence in reaction-diffusion systems with control of mass: a survey, Milan J. Math, vol.78, pp.5417-455, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00620922

M. Rousset, A N -uniform quantitative Tanaka's theorem for the conservative Kac's N -particle system with Maxwell molecules, 2014.

H. Tanaka, Probabilistic treatment of the Boltzmann equation of Maxwellian molecules, Z. Wahrsch. Verw. Gebiete, vol.46, pp.67-105, 1978.

C. Villani, Grundlehren der Mathematischen Wissenschaften, vol.338, 2009.