Amic Frouvelle

Prépublications

Revues internationales avec comité de lecture

  1. Swarming by curvature control in arbitrary dimension, avec Pierre Degond et Antoine Diez, accepté dans Quarterly of Applied Mathematics, 2026, hal-05392902.

  2. On the Fisher infinitesimal model without variability, avec Cécile Taing, Journal of Statistical Physics, 192, 9, 2025, hal-04168272.

  3. Macroscopic limit of a Fokker-Planck model of swarming rigid bodies, avec Pierre Degond, European Journal of Applied Mathematics, 36, p. 349 –397, 2025, hal-04173242.

  4. Hyperbolicity and non-conservativity of a hydrodynamic model of swarming rigid bodies, avec Pierre Degond, Sara Merino-Aceituno et Ariane Trescases, Quarterly of Applied Mathematics, 82, p. 35–64, 2024, hal-03833710.

  5. Reversal Collision Dynamics, avec Laura Kanzler et Christian Schmeiser, Discrete and Continuous Dynamical Systems, 43, p. 3582–3603, 2023, hal-03784344.

  6. From kinetic to fluid models of liquid crystals by the moment method, avec Pierre Degond et Jian-Guo Liu, Kinetic and Related Models, 15, p. 417–465, 2022, hal-03275272.

  7. Phase transitions and macroscopic limits in a BGK model of body-attitude coordination, avec Pierre Degond, Antoine Diez et Sara Merino-Aceituno, Journal of Nonlinear Science, 30, p. 2671–2736, 2020, hal-02126060.

  8. Quaternions in collective dynamics, Multiscale Modeling and Simulation, avec Pierre Degond, Sara Merino-Aceituno et Ariane Trescases, 16, p. 28–77, 2018, arXiv:1701.01166.

  9. A new flocking model through body attitude coordination, avec Pierre Degond et Sara Merino-Aceituno, Mathematical Models and Methods in Applied Sciences, 27 p.1005–1049, 2017, arXiv:1605.03509.

  10. Phase transitions, hysteresis, and hyperbolicity for self-organized alignment dynamics, avec Pierre Degond et Jian-Guo Liu, Archive for Rational Mechanics and Analysis, 216, p. 63–115, 2015, hal-00811454.

  11. Local stability of perfect alignment for a spatially homogeneous kinetic model, avec Pierre Degond et Gaël Raoul, Journal of Statistical Physics, 157, p. 84–112, 2014, hal-00962234.

  12. Macroscopic limits and phase transition in a system of self-propelled particles, avec Pierre Degond et Jian-Guo Liu, Journal of Nonlinear Science, 23, p. 427–456, 2013, hal-00621766.

  13. Dynamics in a kinetic model of oriented particles with phase transition, SIAM Journal on Mathematical Analysis, avec Jian-Guo Liu 44, p. 791–826, 2012, hal-00555006.

  14. A continuum model for alignment of self-propelled particles with anisotropy and density-dependent parameters, Mathematical Models and Methods in Applied Sciences, 22, 1250011 (40 p.), 2012, hal-00438174.

  15. Kinetic formulation and global existence for the hall-magneto-hydrodynamics system, avec Marion Acheritogaray, Pierre Degond et Jian-Guo Liu, Kinetic and Related Models, 4, p. 901–918, 2011, hal-00615222.

Actes de conférences, chapitres d’ouvrages, avec comité de lecture

  1. Body-attitude coordination in arbitrary dimension, avec Pierre Degond et Antoine Diez, in Kinetic theory. Analysis, computation and applications, p. 1–47, Panoramas & Synthèses, vol. 65, 2025, hal-03423952.

  2. Body-attitude alignment: first order phase transition, link with rodlike polymers through quaternions, and stability, in Recent Advances in Kinetic Equations and Applications, p. 147–181. Springer INdAM Series, vol. 48, 2021, hal-03027574.

  3. Long-time dynamics for a simple aggregation equation on the sphere, in Stochastic Dynamics Out of Equilibrium, IHPStochDyn 2017, p. 457–479. Springer Proceedings in Mathematics & Statistics, vol. 282, 2019, hal-01894368.

  4. Alignment of self-propelled rigid bodies: from particle systems to macroscopic equations, avec Pierre Degond, Sara Merino-Aceituno et Ariane Trescases, in Stochastic Dynamics Out of Equilibrium, IHPStochDyn 2017, p. 28–66. Springer Proceedings in Mathematics & Statistics, vol. 282, 2019 hal-01894363.

  5. A note on phase transitions for the Smoluchowski equation with dipolar potential, avec Pierre Degond et Jian-Guo Liu, in Hyperbolic Problems: Theory, Numerics, Applications — Proceedings of the 14th International Conference on Hyperbolic Problems held in Padova, June 25-29, 2012, p. 179–192, 2014, hal-00765704.

  6. Macroscopic models of collective motion and self-organization, avec Pierre Degond, Jian-Guo Liu, Laurent Navoret et Sébastien Motsch, Séminaire Laurent Schwartz — EDP et applications 2012-2013, Exp. No. 1, 27 p., 2014, hal-00816752.

Autres

  1. Alignement de particules auto-propulsées, transitions de phase et contraintes géométriques, mémoire d’Habilitation à Diriger les Recherches, 2023, tel-04034643.

  2. Modélisation de phénomènes d'agrégation et de morphogénèse au sein des sociétés animales, thèse de Doctorat, 2011, thesesups.ups-tlse.fr/1174.

Dernière modification: 2026-04-29. Site statique généré par Franklin.jl en Julia.