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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⟩
Journal articles hal-00811454v2

Asymptotic-Preserving Particle-In-Cell methods for the Vlasov–Maxwell system in the quasi-neutral limit

P. Degond , Fabrice Deluzet , D. Doyen
Journal of Computational Physics, 2017, 330, pp.467-492
Journal articles hal-01979765v1

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⟩
Journal articles hal-00628596v1

Numerical simulations of the Euler system with congestion constraint

Pierre Degond , Jiale Hua , Laurent Navoret
Journal of Computational Physics, 2011, 230 (22), p. 8057-8088. ⟨10.1016/j.jcp.2011.07.010⟩
Journal articles hal-00996913v1
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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⟩
Journal articles hal-01152347v1

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⟩
Journal articles istex hal-00365215v1
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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
Journal articles hal-00589710v1

Quantum Energy-Transport and Drift-Diffusion models

Pierre Degond , Florian Méhats , Christian Ringhofer
Journal of Statistical Physics, 2005, 118 (3-4), pp.625-665. ⟨10.1007/s10955-004-8823-3⟩
Journal articles hal-00378549v1
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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⟩
Journal articles hal-00621766v1
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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
Journal articles hal-02499514v1
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Propagation of chaos for topological interactions

P Degond , M Pulvirenti
Annals of Applied Probability, 2019
Journal articles hal-02499483v1

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
Journal articles hal-00018457v1
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How environment affects active particle swarms: a case study

Pierre Degond , Angelika Manhart , Sara Merino-Aceituno , Diane Peurichard , Lorenzo Sala et al.
Royal Society Open Science, 2022, 9, pp.220791
Journal articles hal-03684115v1
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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
Conference papers hal-01872081v1
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Symmetry-breaking phase transitions in highly concentrated semen

Adama Kpatagnon Creppy , Franck Plouraboué , Olivier Praud , Xavier Druart , Sébastien Cazin et al.
Journal of the Royal Society Interface, 2016, vol. 13 (n° 123), pp. 1-12. ⟨10.1098/rsif.2016.0575⟩
Journal articles hal-01380772v1
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Anteroposterior elongation of the chicken anterior trunk neural tube is hindered by interaction with its surrounding tissues

Cathy Danesin , Marina Ferreira , Pierre Degond , Eric Théveneau
Cells & Development, 2021, 168, pp.203723. ⟨10.1016/j.cdev.2021.203723⟩
Journal articles hal-03365126v1
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Topological interactions in a Boltzmann-type framework

Adrien Blanchet , Pierre Degond
Journal of Statistical Physics, 2016, 163, pp.41-60
Journal articles hal-01171416v1
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Diffusion dynamics of an electron gas confined between two plates

Pierre Degond , Vladimir Latocha , Simona Mancini , Antoine Mellet
Methods and Applications of Analysis, 2002, 9, 1, pp.127-150
Journal articles hal-00076883v1
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Continuum limit of self-driven particles with orientation interaction

Pierre Degond , Sébastien Motsch
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2007, 347, pp.555-560
Journal articles hal-00175719v1
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A CONTINUUM MODEL FOR NEMATIC ALIGNMENT OF SELF-PROPELLED PARTICLES

Pierre Degond , Angelika Manhart , Hui Yu
Discrete and Continuous Dynamical Systems - Series B, 2017, 22, ⟨10.3934/dcdsb.2017063⟩
Journal articles hal-02498892v1
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An asymptotic-preserving method for a relaxation of the Navier-Stokes-Korteweg equations

Alina Chertock , Pierre Degond , Jochen Neusser
Journal of Computational Physics, 2017, 335, pp.387-403. ⟨10.1016/j.jcp.2017.01.030⟩
Journal articles hal-02498895v1
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A BOLTZMANN MODEL FOR ROD ALIGNMENT AND SCHOOLING FISH

Eric Carlen , Maria Carvalho , Pierre Degond , Bernt Wennberg
Nonlinearity, 2015
Journal articles hal-02498839v1
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Macroscopic models of collective motion with repulsion

Pierre Degond , Giacomo Dimarco , Thi Bich Ngoc Mac , Nan Wang
Communications in Mathematical Sciences, 2015, 13, pp.1615-1638
Journal articles hal-00980873v1

Mach-number uniform asymptotic-preserving gauge schemes for compressible flows

Pierre Degond , S. Jin , J.-G. Liu
Bulletin of the Institute of Mathematics. Academia Sinica, 2007, 2 (4), pp.851-892
Journal articles hal-00635618v1

Macroscopic limit of self-driven particles with orientation interaction

Pierre Degond , Sébastien Motsch
Comptes Rendus. Mathématique, 2007, 345 (10), pp.555-560. ⟨10.1016/j.crma.2007.10.024⟩
Journal articles istex hal-00635627v1
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Diffusion in a continuum model of self-propelled particles with alignment interaction

Pierre Degond , Tong Yang
Mathematical Models and Methods in Applied Sciences, 2010, 20 (Suppl.), pp.1459-1490
Journal articles hal-00456246v1

An asymptotic preserving scheme for the Schrödinger equation in the semiclassical limit

Pierre Degond , Samy Gallego , Florian Méhats
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2007, 345 (9), pp.531--536
Journal articles hal-00368938v1
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Trail formation based on directed pheromone deposition

Emmanuel Boissard , Pierre Degond , Sébastien Motsch
Journal of Mathematical Biology, 2013, 66, pp.1267-1301
Journal articles hal-00614735v1
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Hydrodynamic models of self-organized dynamics: derivation and existence theory

Pierre Degond , Jian-Guo Liu , Sébastien Motsch , Vladislav Panferov
Methods and Applications of Analysis, 2013, 20, pp.89-114
Journal articles hal-00614736v1
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Propagation of chaos for topological interactions by a coupling technique

Pierre Degond , Mario Pulvirenti , Stefano Rossi
2022
Preprints, Working Papers, ... hal-03904962v1