Collective dynamics in life sciences - Lecture 2. The Vicsek model as a paradigm for self-organization: from particles to fluid via kinetic descriptions | Vidéo | Carmin.tv

00:00:00 / 00:00:00

Collective dynamics in life sciences - Lecture 2. The Vicsek model as a paradigm for self-organization: from particles to fluid via kinetic descriptions

De Pierre Degond

Apparaît dans les collections : Research School, Stochastic dynamics out of equilibrium / Dynamiques stochastiques hors d'équilibre

Lecture 1. Collective dynamics and self-organization in biological systems : challenges and some examples.

Lecture 2. The Vicsek model as a paradigm for self-organization : from particles to fluid via kinetic descriptions

Lecture 3. Phase transitions in the Vicsek model : mathematical analyses in the kinetic framework.

Informations sur la vidéo

Date de captation 06/04/2017
Date de publication 13/04/2017
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs, Doctorants
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.19155803
Citer cette vidéo Degond, Pierre (06/04/2017). Collective dynamics in life sciences - Lecture 2. The Vicsek model as a paradigm for self-organization: from particles to fluid via kinetic descriptions. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19155803
URL https://dx.doi.org/10.24350/CIRM.V.19155803

Domaine(s)

Bibliographie

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. <arXiv:1509.02599> - https://arxiv.org/abs/1509.02599
Jiang, N., Xiong, L., & Zhang, T.F. (2015). Hydrodynamic limits of the kinetic self-organized models. <arXiv:1508.04640> - 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

Codes MSC

Dernières questions liées sur MathOverflow

Pour poser une question, votre compte Carmin.tv doit être connecté à mathoverflow

Poser une question sur MathOverflow

Copyright Carmin.tv 2025

Donner son avis