frouvelle@ceremade.dauphine.fr
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Amic Frouvelle est Maître de Conférences en Mathématiques à l’Université Paris-Dauphine.
Il travaille principalement sur la théorie cinétique des systèmes complexes, et en particulier sur des systèmes de grand nombre de particules autopropulsées en interaction, comme dans les bancs de poissons ou les nuées d’oiseaux.
Degond P., Frouvelle A., Merino Aceituno S., Trescases A. (2024), Hyperbolicity and non-conservativity of a hydrodynamic model of swarming rigid bodies, Quarterly of Applied Mathematics, vol. 82, n°1, p. 35-64
Frouvelle A., Kanzler L., Schmeiser C. (2023), Reversal collision dynamics, Discrete and Continuous Dynamical Systems. Series A, vol. 43, n°10, p. 3582-3603
Degond P., Frouvelle A., Liu J-G. (2022), From kinetic to fluid models of liquid crystals by the moment method, Kinetic & Related Models, vol. 15, n°3, p. 417-465
Degond P., Diez A., Frouvelle A., Merino Aceituno S. (2020), Phase transitions and macroscopic limits in a BGK model of body-attitude coordination, Journal of Nonlinear Science, vol. 30, p. 2671–2736
Degond P., Frouvelle A., Merino-Aceituno S., Trescases A. (2018), Quaternions in Collective Dynamics, Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, vol. 16, n°1, p. 28-77
Frouvelle A., Degond P., Merino-Aceituno S. (2017), A new flocking model through body attitude coordination, Mathematical Models and Methods in Applied Sciences, vol. 27, n°6, p. 1005–1049
Degond P., Frouvelle A., Liu J-G. (2015), Phase transitions, hysteresis, and hyperbolicity for self-organized alignment dynamics, Archive for Rational Mechanics and Analysis, vol. 216, n°1, p. 63-115
Raoul G., Degond P., Frouvelle A. (2014), Local stability of perfect alignment for a spatially homogeneous kinetic model, Journal of Statistical Physics, vol. 157, n°1, p. 84-112
Degond P., Frouvelle A., Liu J-G., Motsch S., Navoret L. (2013), Macroscopic models of collective motion and self-organization, Séminaire Laurent Schwartz -EDP et applications, vol. 2012-2013, p. 1-27
Frouvelle A. (2021), Body-attitude alignment : first order phase transition, link with rodlike polymers through quaternions, and stability, in Salvarani, F. (eds), Recent Advances in Kinetic Equations and Applications, Berlin Heidelberg: Springer, p. 147-181
Frouvelle A., Liu J-G. (2019), Long-time dynamics for a simple aggregation equation on the sphere, in Giacomin, G., Olla, S., Saada, E., Spohn, H., Stoltz, G. (eds), Stochastic Dynamics Out of Equilibrium. IHPStochDyn 2017. Springer Proceedings in Mathematics & Statistics, vol 282, Berlin Heidelberg: Springer, p. 457-479
Degond P., Frouvelle A., Merino-Aceituno S., Trescases A. (2019), Alignment of self-propelled rigid bodies: from particle systems to macroscopic equations, in , Stochastic Dynamics Out of Equilibrium, Institut Henri Poincaré, Paris, France, 2017, Berlin Heidelberg, Springer, 28-66 p.
Liu J-G., Frouvelle A., Degond P. (2012), A note on phase transitions for the Smoluchowski equation with dipolar potential, Hyperbolic Problems: Theory, Numerics, Applications, Padova, Italie
Frouvelle A., Taing C. (2023), On the Fisher infinitesimal model without variability, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 34 p.
Degond P., Frouvelle A. (2023), Macroscopic limit of a Fokker-Planck model of swarming rigid bodies, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 59 p.
Degond P., Diez A., Frouvelle A. (2021), Body-attitude coordination in arbitrary dimension, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 46 p.
Degond P., Navoret L., Frouvelle A., Motsch S., Liu J-G. (2013), Macroscopic models of collective motion and self-organization, 27 p.