. Ch and . Ancey, Plasticity and geophysical flows: A review, J. Non-Newtonian Fluid Mech, vol.142, pp.4-35, 2007.

J. Bertoin, Random Fragmentation and Coagulation Processes, 2006.
DOI : 10.1017/CBO9780511617768

URL : https://hal.archives-ouvertes.fr/hal-00103015

L. Beznea and I. C??mpeanc??mpean, On Bochner-Kolmogorov Theorem, Séminaire de Probabilités XLVI (LNM, pp.61-70, 2014.
DOI : 10.1007/978-3-319-11970-0_3

L. Beznea, M. Deaconu, and O. Lupa¸sculupa¸scu, Branching processes for the fragmentation equation, Stochastic Processes and their Applications, vol.125, issue.5, pp.1861-1885, 2015.
DOI : 10.1016/j.spa.2014.11.016

URL : https://hal.archives-ouvertes.fr/hal-00948876

L. Beznea, M. Deaconu, and O. Lupa¸sculupa¸scu, Stochastic Equation of Fragmentation and Branching Processes Related to Avalanches, Journal of Statistical Physics, vol.75, issue.22, pp.824-841, 2016.
DOI : 10.1103/PhysRevLett.75.4071

URL : https://hal.archives-ouvertes.fr/hal-01216137

L. Beznea and O. Lupa¸sculupa¸scu, Measure-valued discrete branching Markov processes, Transactions of the American Mathematical Society, vol.368, issue.7, pp.5153-5176, 2016.
DOI : 10.1090/tran/6514

L. Beznea and A. Oprina, Nonlinear PDEs and measure-valued branching type processes, Journal of Mathematical Analysis and Applications, vol.384, issue.1, pp.16-32, 2011.
DOI : 10.1016/j.jmaa.2010.10.034

URL : https://doi.org/10.1016/j.jmaa.2010.10.034

X. Bressaud and N. Fournier, On the invariant distribution of a one-dimensional avalanche process, The Annals of Probability, vol.37, issue.1, pp.48-77, 2009.
DOI : 10.1214/08-AOP396

URL : https://hal.archives-ouvertes.fr/hal-00731532

N. Fournier and J. Giet, On small particles in coagulation-fragmentation equations, Journal of Statistical Physics, vol.111, issue.5/6, pp.1299-1329, 2003.
DOI : 10.1023/A:1023060417976

M. Deaconu, N. Fournier, and E. Tanre, Rate of convergence of a stochastic particle system for the Smoluchowski coagulation equation, Methodology And Computing In Applied Probability, vol.5, issue.2, pp.131-158, 2003.
DOI : 10.1023/A:1024524500111

URL : https://hal.archives-ouvertes.fr/hal-01080453

N. Ikeda, M. Nagasawa, and S. Watanabe, Branching Markov processes I, Journal of Mathematics of Kyoto University, vol.8, issue.2, pp.233-278, 1968.
DOI : 10.1215/kjm/1250524137

O. Lupa¸sculupa¸scu and V. St?, Numerical solution for the non-linear Dirichlet problem of a branching process, Compl. Anal. Oper. Th, 2017.

E. D. Mcgrady and R. M. Ziff, Analytical solutions to fragmentation equations with flow, AIChE Journal, vol.34, issue.12, pp.2073-2076, 1988.
DOI : 10.1002/aic.690341218

S. Shindin and N. Parumasur, Numerical simulation of a transport fragmentation coagulation model, Applied Mathematics and Computation, vol.246, pp.192-198, 2014.
DOI : 10.1016/j.amc.2014.08.021

M. L. Silverstein, Markov processes with creation of particles, Zeitschrift f???r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol.9, issue.3, pp.235-257, 1968.
DOI : 10.1007/BF00535642

S. P. Pudasaini and K. Hutter, Avalanche Dynamics -Dynamics of Rapid Flows of Dense Granular Avalanches, 2007.

L. E. Vallejo, S. Lobo-guerrero, and Z. Chik, A Network of Fractal Force Chains and Their Effect in Granular Materials under Compression, Fractals in Engineering, pp.67-80, 2005.
DOI : 10.1007/1-84628-048-6_5