Imperial College London

ProfessorPierreDegond

Faculty of Natural SciencesDepartment of Mathematics

Chair in Applied Mathematics
 
 
 
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Contact

 

+44 (0)20 7594 1474p.degond Website CV

 
 
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Location

 

6M38Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Publication Type
Year
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280 results found

Peurichard D, Ousset M, Paupert J, Aymard B, Lorsignol A, Casteilla L, Degond Pet al., 2019, Extra-cellular matrix rigidity may dictate the fate of injury outcome, JOURNAL OF THEORETICAL BIOLOGY, Vol: 469, Pages: 127-136, ISSN: 0022-5193

JOURNAL ARTICLE

Singh K, Muljadi BP, Raeini AQ, Jost C, Vandeginste V, Blunt MJ, Theraulaz G, Degond Pet al., 2019, The architectural design of smart ventilation and drainage systems in termite nests, SCIENCE ADVANCES, Vol: 5, ISSN: 2375-2548

JOURNAL ARTICLE

Degond P, Merino-Aceituno S, Vergnet F, Yu Het al., 2019, Coupled Self-Organized Hydrodynamics and Stokes Models for Suspensions of Active Particles, JOURNAL OF MATHEMATICAL FLUID MECHANICS, Vol: 21, ISSN: 1422-6928

JOURNAL ARTICLE

Degond P, Pulvirenti M, Propagation of chaos for topological interactions

We consider a $N$-particle model describing an alignment mechanism due to atopological interaction among the agents. We show that the kinetic equation,expected to hold in the mean-field limit $N \to \infty$, as following from theprevious analysis in [A. Blanchet, P. Degond, Topological interactions in aBoltzmann-type framework, J. Stat. Phys., 163 (2016), pp. 41-60.] can berigorously derived. This means that the statistical independence (propagationof chaos) is indeed recovered in the limit, provided it is assumed at timezero.

JOURNAL ARTICLE

Degond P, Frouvelle A, Merino Aceituno S, Trescases Aet al., Alignment of self-propelled rigid bodies: from particle systems to macroscopic equations, Stochastic dynamics out of equilibrium, Publisher: Springer Nature, ISSN: 2194-1017

The goal of these lecture notes is to present in a unified wayvarious models for the dynamics of aligning self-propelled rigid bodiesat different scales and the links between them. The models and methodsare inspired from [17,18], but, in addition, we introduce a new modeland apply on it the same methods. While the new model has its owninterest, our aim is also to emphasize the methods by demonstratingtheir adaptability and by presenting them in a unified and simplifiedway. Furthermore, from the various microscopic models we derive thesame macroscopic model, which is a good indicator of its universality.

CONFERENCE PAPER

Motsch S, Moussaid M, Guillot EG, Moreau M, Pettre J, Theraulaz G, Appert-Rolland C, Degond Pet al., 2018, MODELING CROWD DYNAMICS THROUGH COARSE-GRAINED DATA ANALYSIS, MATHEMATICAL BIOSCIENCES AND ENGINEERING, Vol: 15, Pages: 1271-1290, ISSN: 1547-1063

JOURNAL ARTICLE

Bailo R, Carrillo de la Plata J, Degond PAA, 2018, Pedestrian Models based on Rational Behaviour, Crowd Dynamics Volume 1 - Theory, Models, and Safety Problems, Editors: Bellomo, Gibelli

BOOK CHAPTER

Degond P, Minakowski P, Zatorska E, 2018, Transport of congestion in two-phase compressible/incompressible flows, NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, Vol: 42, Pages: 485-510, ISSN: 1468-1218

JOURNAL ARTICLE

Degond P, Manhart A, Yu H, 2018, An age-structured continuum model for myxobacteria, MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, Vol: 28, Pages: 1737-1770, ISSN: 0218-2025

JOURNAL ARTICLE

Aoki K, Degond P, Yang T, 2018, Special issue celebrating the 10th anniversary of KRM PREFACE, KINETIC AND RELATED MODELS, Vol: 11, Pages: I-I, ISSN: 1937-5093

JOURNAL ARTICLE

Degond P, Minakowski P, Navoret L, Zatorska Eet al., 2018, Finite volume approximations of the Euler system with variable congestion, COMPUTERS & FLUIDS, Vol: 169, Pages: 23-39, ISSN: 0045-7930

JOURNAL ARTICLE

David I, Kohnke P, Fehrenbach J, Simoes ARL, Debreuve E, Descombes X, Plouraboue F, Degond P, Druart Xet al., 2018, New objective measurements of semen wave motion are associated with fertility in sheep, REPRODUCTION FERTILITY AND DEVELOPMENT, Vol: 30, Pages: 889-896, ISSN: 1031-3613

JOURNAL ARTICLE

Barre J, Carrillo JA, Degond P, Peurichard D, Zatorska Eet al., 2018, Particle Interactions Mediated by Dynamical Networks: Assessment of Macroscopic Descriptions, JOURNAL OF NONLINEAR SCIENCE, Vol: 28, Pages: 235-268, ISSN: 0938-8974

JOURNAL ARTICLE

Bailo R, Carrillo JA, Degond P, 2018, Pedestrian models based on rational behaviour, Modeling and Simulation in Science, Engineering and Technology, Pages: 259-292

© Springer Nature Switzerland AG 2018. Following the paradigm set by attraction-repulsion-alignment schemes, a myriad of individual-based models have been proposed to calculate the evolution of abstract agents. While the emergent features of many agent systems have been described astonishingly well with force-based models, this is not the case for pedestrians. Many of the classical schemes have failed to capture the fine detail of crowd dynamics, and it is unlikely that a purely mechanical model will succeed. As a response to the mechanistic literature, we will consider a model for pedestrian dynamics that attempts to reproduce the rational behaviour of individual agents through the means of anticipation. Each pedestrian undergoes a two-step time evolution based on a perception stage and a decision stage. We will discuss the validity of this game theoretical-based model in regimes with varying degrees of congestion, ultimately presenting a correction to the mechanistic model in order to achieve realistic high-density dynamics.

BOOK CHAPTER

Degond P, Frouvelle A, Merino-Aceituno S, Trescases Aet al., 2018, QUATERNIONS IN COLLECTIVE DYNAMICS, MULTISCALE MODELING & SIMULATION, Vol: 16, Pages: 28-77, ISSN: 1540-3459

JOURNAL ARTICLE

Blanchet A, Degond P, 2017, Kinetic Models for Topological Nearest-Neighbor Interactions, JOURNAL OF STATISTICAL PHYSICS, Vol: 169, Pages: 929-950, ISSN: 0022-4715

JOURNAL ARTICLE

Leroy-Leretre M, Dimarco G, Cazales M, Boizeau M-L, Ducommun B, Lobjois V, Degond Pet al., 2017, Are Tumor Cell Lineages Solely Shaped by Mechanical Forces?, BULLETIN OF MATHEMATICAL BIOLOGY, Vol: 79, Pages: 2356-2393, ISSN: 0092-8240

JOURNAL ARTICLE

Peurichard D, Delebecque F, Lorsignol A, Barreau C, Rouquette J, Descombes X, Casteilla L, Degond Pet al., 2017, Simple mechanical cues could explain adipose tissue morphology, JOURNAL OF THEORETICAL BIOLOGY, Vol: 429, Pages: 61-81, ISSN: 0022-5193

JOURNAL ARTICLE

Degond P, Frouvelle A, Merino-Aceituno S, 2017, A new flocking model through body attitude coordination, MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, Vol: 27, Pages: 1005-1049, ISSN: 0218-2025

JOURNAL ARTICLE

Degond P, Engel M, 2017, NUMERICAL APPROXIMATION OF A COAGULATION-FRAGMENTATION MODEL FOR ANIMAL GROUP SIZE STATISTICS, NETWORKS AND HETEROGENEOUS MEDIA, Vol: 12, Pages: 217-243, ISSN: 1556-1801

JOURNAL ARTICLE

Degond P, Manhart A, Yu H, 2017, A CONTINUUM MODEL FOR NEMATIC ALIGNMENT OF SELF-PROPELLED PARTICLES, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, Vol: 22, Pages: 1295-1327, ISSN: 1531-3492

JOURNAL ARTICLE

Degond P, Deluzet F, 2017, Asymptotic-Preserving methods and multiscale models for plasma physics, JOURNAL OF COMPUTATIONAL PHYSICS, Vol: 336, Pages: 429-457, ISSN: 0021-9991

JOURNAL ARTICLE

Chertock A, Degond P, Neusser J, 2017, An asymptotic-preserving method for a relaxation of the Navier-Stokes-Korteweg equations, JOURNAL OF COMPUTATIONAL PHYSICS, Vol: 335, Pages: 387-403, ISSN: 0021-9991

JOURNAL ARTICLE

Degond P, Henkes S, Yu H, 2017, SELF-ORGANIZED HYDRODYNAMICS WITH DENSITY-DEPENDENT VELOCITY, KINETIC AND RELATED MODELS, Vol: 10, Pages: 193-213, ISSN: 1937-5093

JOURNAL ARTICLE

Degond P, Ferreira MA, Motsch S, 2017, Damped Arrow-Hurwicz algorithm for sphere packing, JOURNAL OF COMPUTATIONAL PHYSICS, Vol: 332, Pages: 47-65, ISSN: 0021-9991

JOURNAL ARTICLE

Degond P, Deluzet F, Doyen D, 2017, Asymptotic-Preserving Particle-In-Cell methods for the Vlasov-Maxwell system in the quasi-neutral limit, JOURNAL OF COMPUTATIONAL PHYSICS, Vol: 330, Pages: 467-492, ISSN: 0021-9991

JOURNAL ARTICLE

Barre J, Degond P, Zatorska E, 2017, KINETIC THEORY OF PARTICLE INTERACTIONS MEDIATED BY DYNAMICAL NETWORKS, MULTISCALE MODELING & SIMULATION, Vol: 15, Pages: 1294-1323, ISSN: 1540-3459

JOURNAL ARTICLE

Degond P, Liu J-G, Merino-Aceituno S, Tardiveau Tet al., 2017, Continuum dynamics of the intention field under weakly cohesive social interaction, MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, Vol: 27, Pages: 159-182, ISSN: 0218-2025

JOURNAL ARTICLE

Degond P, Herty M, Liu J-G, 2017, MEANFIELD GAMES AND MODEL PREDICTIVE CONTROL, COMMUNICATIONS IN MATHEMATICAL SCIENCES, Vol: 15, Pages: 1403-1422, ISSN: 1539-6746

JOURNAL ARTICLE

Degond P, Filbet F, 2016, On the Asymptotic Limit of the Three Dimensional Vlasov-Poisson System for Large Magnetic Field: Formal Derivation, JOURNAL OF STATISTICAL PHYSICS, Vol: 165, Pages: 765-784, ISSN: 0022-4715

JOURNAL ARTICLE

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