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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 plasma expansion model based on the full Euler-Poisson system

Pierre Crispel , Pierre Degond , Marie-Hélène Vignal
Mathematical Models and Methods in Applied Sciences, 2007, 17 (7), pp.1129-1158. ⟨10.1142/S0218202507002224⟩
Article dans une revue hal-00635604v1
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Asymptotic-Preserving Particle-In-Cell method for the Vlasov-Poisson system near quasineutrality

Pierre Degond , Fabrice Deluzet , Laurent Navoret , An-Bang Sun , Marie-Hélène Vignal
Journal of Computational Physics, 2010, 229 (16), pp.5630-5652. ⟨10.1016/j.jcp.2010.04.001⟩
Article dans une revue hal-00359356v1
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Numerical approximation of the Euler-Maxwell model in the quasineutral limit

Pierre Degond , Fabrice Deluzet , Dominique Savelief
Journal of Computational Physics, 2012, 231 (4), pp.1917-1946. ⟨10.1016/j.jcp.2011.11.011⟩
Article dans une revue hal-00584719v1
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A hybrid kinetic-fluid model for solving the Vlasov-BGK equation

Nicolas Crouseilles , Pierre Degond , Mohammed Lemou
Journal of Computational Physics, 2005, 203, pp.572-601
Article dans une revue hal-00139686v1
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A hierarchy of heuristic-based models of crowd dynamics

Pierre Degond , Cécile Appert-Rolland , Mehdi Moussaid , Julien Pettré , Guy Theraulaz
Kinetic and Related Models , 2013, 6, pp.809-839. ⟨10.1007/s10955-013-0805-x⟩
Article dans une revue hal-00808691v1

On quantum extensions to classical Spherical Harmonics Expansion / Fokker-Planck models

Jean-Pierre Bourgade , Pierre Degond , Florian Méhats , Christian Ringhofer
Journal of Mathematical Physics, 2006, 47 (4), pp.043302. ⟨10.1063/1.2192968⟩
Article dans une revue hal-00378444v1

Simulation of non equilibrium plasmas with a numerical noise reduced particle in cell method

Pierre Degond , Fabrice Deluzet , Giacomo Dimarco , G. Gallice , P. Santagati , et al.
27th International Symposium on Rarefied Gas Dynamics, 2010. Pacific Grove, California., AIP, p. 1112-1117, 2011, AIP Conference proceedings, vol. 1333, 978-0-7354-0889-0. ⟨10.1063/1.3562793⟩
Chapitre d'ouvrage hal-00992190v1
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Mathematical models of collective dynamics and self-organization

Pierre Degond
International Congress of Mathematicians ICM 2018, Aug 2020, Rio de Janeiro, Brazil
Communication dans un congrès hal-02499553v1
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COMPARING THE BEST REPLY STRATEGY AND MEAN FIELD GAMES: THE STATIONARY CASE

Matt Barker , Pierre Degond , Marie-Thérèse Wolfram
European Journal of Applied Mathematics, 2021, 33, pp.79-110
Article dans une revue hal-02499527v1
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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
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ON THE ASYMPTOTIC LIMIT OF THE THREE DIMENSIONAL VLASOV-POISSON SYSTEM FOR LARGE MAGNETIC FIELD : FORMAL DERIVATION

Pierre Degond , Francis Filbet
Journal of Statistical Physics, 2016, 165 (4), pp.765-784
Article dans une revue hal-01326162v2
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A macroscopic model for a system of swarming agents using curvature control

Pierre Degond , Sébastien Motsch
Journal of Statistical Physics, 2011, 143, pp.685-714
Article dans une revue hal-00529589v1

A HIERARCHY OF MODELS RELATED TO NANOFLOWS AND SURFACE DIFFUSION

Kazuo Aoki , Pierre Charrier , Pierre Degond
Kinetic and Relared Models, 2011, 4 (1), pp.53. ⟨10.3934/krm.2011.4.53⟩
Article dans une revue hal-01026087v1
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A hierarchy of models related to nanoflows and surface diffusion

Kazuo Aoki , Pierre Charrier , Pierre Degond
Kinetic and Related Models , 2011, 4, pp.53-85
Article dans une revue hal-00529590v1
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Meanfield games and model predictive control

Pierre Degond , Michael Herty , Jian-Guo Liu
Communications in Mathematical Sciences, 2017, 15, pp.1403-1422
Article dans une revue hal-01098346v1
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Well-posedness for Hall-magnetohydrodynamics

Dongho Chae , Pierre Degond , Jian-Guo Liu
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2014, 31, pp.555-565
Article dans une revue hal-00765702v1
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Self-organized Hydrodynamics in an Annular Domain: Modal Analysis and Nonlinear Effects

Pierre Degond , Hui Yu
Mathematical Models and Methods in Applied Sciences, 2015, 25, pp.495-519
Article dans une revue hal-01016671v1
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A MEAN FIELD GAME MODEL OF FIRM-LEVEL INNOVATION

Matt Barker , Pierre Degond , Ralf Martin , Mirabelle Muûls
Mathematical Models and Methods in Applied Sciences, 2023, 33 (05), pp.929-970
Article dans une revue hal-03410206v1
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Asymptotic-Preserving scheme for a bi-fluid Euler-Lorentz model

Stéphane Brull , Pierre Degond , Fabrice Deluzet , Alexandre Mouton
Kinetic and Related Models , 2011, 4, pp.991-1023
Article dans une revue hal-00586486v1

Travelling Waves Analysis and jump relations for Euler-Poisson model in Quasineutral limit

Stéphane Cordier , Pierre Degond , Peter Markowich , Christian Schmeiser
Asymptotic Analysis, 1995, vol 11, pp.209-240
Article dans une revue hal-00082826v1

A model hierarchy for ionospheric plasma modeling.

Christophe Besse , Pierre Degond , Fabrice Deluzet , Jean Claudel , Gerard Gallice , et al.
Mathematical Models and Methods in Applied Sciences, 2004, 14 n°3, pp.393--415
Article dans une revue hal-00018457v1
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Propagation of chaos for topological interactions

P Degond , M Pulvirenti
The Annals of Applied Probability, 2019
Article dans une revue hal-02499483v1
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Two-way multi-lane traffic model for pedestrians in corridors

Cécile Appert-Rolland , Pierre Degond , Sébastien Motsch
Networks and Heterogeneous Media, 2011, 6, pp.351-381
Article dans une revue hal-00589710v1
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A Markov jump process modelling animal group size statistics

Pierre Degond , Maximilian Engel , Jian-Guo Liu , Robert L Pego
Communications in Mathematical Sciences, 2020, 18, pp.55-89
Article dans une revue hal-02499514v1
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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
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Continuum model for linked fibers with alignment interactions

Pierre Degond , Fanny Delebecque , Diane Peurichard
Mathematical Models and Methods in Applied Sciences, 2016, vol. 26 (2), pp.269-318. ⟨10.1142/S0218202516400030⟩
Article dans une revue hal-01152347v1

Kinetic models for polymers with inertial effects

Pierre Degond , Hailiang Liu
Networks and Heterogeneous Media, 2009, 4 (4), pp.625-647. ⟨10.3934/nhm.2009.4.625⟩
Article dans une revue hal-00628596v1
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Analogies Between Social Interaction Models and Supply Chains

Laurent Navoret , Richard Bon , Pierre Degond , Jacques Gautrais , David Sanchez , et al.
European Consortium for Mathematics in Industry (ECMI) conference, 2008, London, United Kingdom
Communication dans un congrès hal-01872081v1

Asymptotic problems for wave-particle interactions: quantum and classical models

François Castella , Pierre Degond , Thierry Goudon
Nonlinearity, 2007, 20 (7), pp.1677-1720. ⟨10.1088/0951-7715/20/7/008⟩
Article dans une revue istex hal-00365215v1