Voir aussi

• [Multi angle] Collective dynamics in life sciences - Lecture 3. Phase transitions in the Vicsek model: mathematical analyses in the kinetic framework / Auteur de la Conférence Degond, Pierre.
• [Multi angle] Collective dynamics in life sciences - Lecture 2. The Vicsek model as a paradigm for self-organization: from particles to fluid via kinetic descriptions / Auteur de la Conférence Degond, Pierre.
• [Multi angle] Steady states and long range correlations in driven systems - Lecture 2 / Auteur de la Conférence Mukamel, David.
• [Multi angle] Steady states and long range correlations in driven systems - Lecture 1 / Auteur de la Conférence Mukamel, David.

Bolley, F., Cañizo, J.A., & Carrillo, J.A. (2012). Mean-field limit for the stochastic Vicsek model, Applied Mathematics Letters, 25(3), 339-343 - http://doi.org/10.1016/j.aml.2011.09.011


Degond, P., Frouvelle, A., & Liu, J.G. (2015). Phase transitions, hysteresis, and hyperbolicity for self-organized alignment dynamics, Archive for Rational Mechanics and Analysis, 216, 63-115 - http://dx.doi.org/10.1007/s00205-014-0800-7


Degond, P., & Motsch, S. (2008). Continuum limit of self-driven particles with orientation interaction, Mathematical Models and Methods in Applied Sciences, 18, 1193-1215 - http://dx.doi.org/10.1142/S0218202508003005


Figalli, A., Kang, M.J., & Morales, J. (2015). Global well-posedness of the spatially homogeneous Kolmogorov-Vicsek model as a gradient flow. - https://arxiv.org/abs/1509.02599


Jiang, N., Xiong, L., & Zhang, T.F. (2015). Hydrodynamic limits of the kinetic self-organized models. - https://arxiv.org/abs/1508.04640


Vicsek, T., & Zafeiris, A. (2012). Collective motion, Physics Reports, 517, 71-140 - http://doi.org/10.1016/j.physrep.2012.03.004