Amic Frouvelle

Publications

Article dans une revue (16)

Macroscopic limit of a Fokker-Planck model of swarming rigid bodies P Degond,A Frouvelle European Journal of Applied Mathematics, 2025, 36, pp.349-397. ⟨10.1017/S0956792524000111⟩ Article dans une revue hal-04173242v2
Body-attitude coordination in arbitrary dimension P Degond,A Diez,A Frouvelle Panoramas et synthèses, 2025, 65, pp.1--48 Article dans une revue hal-03423952v1
On the Fisher infinitesimal model without variability Amic Frouvelle,Cécile Taing Journal of Statistical Physics, 2025, 192 (1), pp.9. ⟨10.1007/s10955-024-03386-6⟩ Article dans une revue hal-04168272v4
Hyperbolicity and non-conservativity of a hydrodynamic model of swarming rigid bodies P Degond,A Frouvelle,S Merino-Aceituno,A Trescases Quarterly of Applied Mathematics, 2024, 82 (1), pp.35-64. ⟨10.1090/qam/1651⟩ Article dans une revue hal-03833710v1
Reversal Collision Dynamics Amic Frouvelle,Laura Kanzler,Christian Schmeiser Discrete and Continuous Dynamical Systems - Series A, 2023, 43 (10), pp.3582-3603. ⟨10.3934/dcds.2023059⟩ Article dans une revue hal-03784344v1
From kinetic to fluid models of liquid crystals by the moment method Pierre Degond,Amic Frouvelle,Jian-Guo Liu Kinetic and Related Models , 2022, 15 (3), pp.417-465. ⟨10.3934/krm.2021047⟩ Article dans une revue hal-03275272v2
Phase transitions and macroscopic limits in a BGK model of body-attitude coordination Pierre Degond,Antoine Diez,Amic Frouvelle,Sara Merino Aceituno Journal of Nonlinear Science, 2020, 30, pp.2671-2736. ⟨10.1007/s00332-020-09632-x⟩ Article dans une revue hal-02126060v1
Quaternions in Collective Dynamics Pierre Degond,Amic Frouvelle,Sara Merino-Aceituno,Ariane Trescases Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2018, 16 (1), pp.28-77 Article dans une revue hal-01962259v1
A new flocking model through body attitude coordination Pierre Degond,Amic Frouvelle,Sara Merino-Aceituno Mathematical Models and Methods in Applied Sciences, 2017, 27 (6), pp.1005-1049. ⟨10.1142/S0218202517400085⟩ Article dans une revue hal-01534887v1
Phase transitions, hysteresis, and hyperbolicity for self-organized alignment dynamics Pierre Degond,Amic Frouvelle,Jian-Guo Liu Archive for Rational Mechanics and Analysis, 2015, 216 (1), pp.63-115. ⟨10.1007/s00205-014-0800-7⟩ Article dans une revue hal-00811454v2
Local stability of perfect alignment for a spatially homogeneous kinetic model Pierre Degond,Amic Frouvelle,Gaël Raoul Journal of Statistical Physics, 2014, 157 (1), pp.84-112. ⟨10.1007/s10955-014-1062-3⟩ Article dans une revue hal-00962234v2
Macroscopic limits and phase transition in a system of self-propelled particles Pierre Degond,Amic Frouvelle,Jian-Guo Liu Journal of Nonlinear Science, 2013, 23 (3), pp.427-456. ⟨10.1007/s00332-012-9157-y⟩ Article dans une revue hal-00621766v1
Macroscopic models of collective motion and self-organization Pierre Degond,Amic Frouvelle,Jian-Guo Liu,Sébastien Motsch,Laurent Navoret Séminaire Laurent Schwartz - EDP et applications, 2013, Année 2012-2013, Exp. No. 1, 27 p Article dans une revue hal-00816752v1
A continuum model for alignment of self-propelled particles with anisotropy and density-dependent parameters Amic Frouvelle Mathematical Models and Methods in Applied Sciences, 2012, 22 (7), pp.1250011. ⟨10.1142/S021820251250011X⟩ Article dans une revue hal-00438174v3
Dynamics in a kinetic model of oriented particles with phase transition Amic Frouvelle,Jian-Guo Liu SIAM Journal on Mathematical Analysis, 2012, 44 (2), pp.791-826. ⟨10.1137/110823912⟩ Article dans une revue hal-00555006v2
Kinetic formulation and global existence for the Hall-Magneto-hydrodynamics system Marion Arichetogaray,Pierre Degond,Amic Frouvelle,Jian-Guo Liu Kinetic and Related Models , 2011, 4 (4), pp.901-918. ⟨10.3934/krm.2011.4.901⟩ Article dans une revue hal-00615222v1

Communication dans un congrès (1)

A note on phase transitions for the Smoluchowski equation with dipolar potential Pierre Degond,Amic Frouvelle,Jian-Guo Liu Hyperbolic Problems: Theory, Numerics, Applications, Jun 2012, Padova, Italy. pp.179-192 Communication dans un congrès hal-00765704v1

Chapitre d'ouvrage (3)

Body-attitude alignment: first order phase transition, link with rodlike polymers through quaternions, and stability Amic Frouvelle Recent Advances in Kinetic Equations and Applications, 2021, 978-3-030-82945-2. ⟨10.1007/978-3-030-82946-9_7⟩ Chapitre d'ouvrage hal-03027574v1
Long-time dynamics for a simple aggregation equation on the sphere Amic Frouvelle,Jian-Guo Liu Stochastic Dynamics Out of Equilibrium, 2019, ⟨10.1007/978-3-030-15096-9_16⟩ Chapitre d'ouvrage hal-01894368v1
Alignment of self-propelled rigid bodies: from particle systems to macroscopic equations Pierre Degond,Amic Frouvelle,Sara Merino-Aceituno,Ariane Trescases Stochastic Dynamics Out of Equilibrium, 282, Springer, 2019, Springer Proceedings in Mathematics & Statistics, 978-3-030-15095-2. ⟨10.1007/978-3-030-15096-9_2⟩ Chapitre d'ouvrage hal-01894363v1

Pré-publication, Document de travail (1)

Swarming by curvature control in arbitrary dimension P Degond,A Diez,A Frouvelle 2025 Pré-publication, Document de travail hal-05392902v1

HDR (1)

Alignement de particules auto-propulsées, transitions de phase et contraintes géométriques Amic Frouvelle Mathématiques [math]. Université Paris-Dauphine PSL, 2023 HDR tel-04034643v1