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
to

296 results found

Degond P, Liu J-G, Ringhofer C, 2014, Large-Scale Dynamics of Mean-Field Games Driven by Local Nash Equilibria, JOURNAL OF NONLINEAR SCIENCE, Vol: 24, Pages: 93-115, ISSN: 0938-8974

Journal article

Degond P, Dimarco G, Thi BNM, 2014, HYDRODYNAMICS OF THE KURAMOTO-VICSEK MODEL OF ROTATING SELF-PROPELLED PARTICLES, MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, Vol: 24, ISSN: 0218-2025

Journal article

Degond P, Liu J-G, Ringhofer C, 2014, Evolution of the Distribution of Wealth in an Economic Environment Driven by Local Nash Equilibria, JOURNAL OF STATISTICAL PHYSICS, Vol: 154, Pages: 751-780, ISSN: 0022-4715

Journal article

Degond P, Frouvelle A, Liu J-G, 2014, A NOTE ON PHASE TRANSITIONS FOR THE SMOLUCHOWSKI EQUATION WITH DIPOLAR POTENTIAL, HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS, Vol: 8, Pages: 179-192

Journal article

Appert-Rolland C, Cividini J, Hilhorst HJ, Degond Pet al., 2014, Pedestrian flows: from individuals to crowds, Conference on Pedestrian and Evacuation Dynamics (PED), Publisher: ELSEVIER SCIENCE BV, Pages: 468-476, ISSN: 2352-1465

Conference paper

Cordier F, Degond P, Kumbaro A, 2014, Phase Appearance or Disappearance in Two-Phase Flows, JOURNAL OF SCIENTIFIC COMPUTING, Vol: 58, Pages: 115-148, ISSN: 0885-7474

Journal article

Degond P, Herty M, Liu J-G, 2014, FLOW ON SWEEPING NETWORKS, MULTISCALE MODELING & SIMULATION, Vol: 12, Pages: 538-565, ISSN: 1540-3459

Journal article

Degond P, Appert-Rolland C, Pettre J, Theraulaz Get al., 2013, VISION-BASED MACROSCOPIC PEDESTRIAN MODELS, KINETIC AND RELATED MODELS, Vol: 6, Pages: 809-839, ISSN: 1937-5093

Journal article

Aoki K, Degond P, Yang T, 2013, Seiji Ukai, KINETIC AND RELATED MODELS, Vol: 6, Pages: I-III, ISSN: 1937-5093

Journal article

Carlen E, Chatelin R, Degond P, Wennberg Bet al., 2013, Kinetic hierarchy and propagation of chaos in biological swarm models, PHYSICA D-NONLINEAR PHENOMENA, Vol: 260, Pages: 90-111, ISSN: 0167-2789

Journal article

Degond P, Appert-Rolland C, Moussaid M, Pettre J, Theraulaz Get al., 2013, A Hierarchy of Heuristic-Based Models of Crowd Dynamics, JOURNAL OF STATISTICAL PHYSICS, Vol: 152, Pages: 1033-1068, ISSN: 0022-4715

Journal article

Carlen E, Degond P, Wennberg B, 2013, KINETIC LIMITS FOR PAIR-INTERACTION DRIVEN MASTER EQUATIONS AND BIOLOGICAL SWARM MODELS, MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, Vol: 23, Pages: 1339-1376, ISSN: 0218-2025

Journal article

Degond P, Frouvelle A, Liu J-G, 2013, Macroscopic Limits and Phase Transition in a System of Self-propelled Particles, JOURNAL OF NONLINEAR SCIENCE, Vol: 23, Pages: 427-456, ISSN: 0938-8974

Journal article

Boissard E, Degond P, Motsch S, 2013, Trail formation based on directed pheromone deposition, JOURNAL OF MATHEMATICAL BIOLOGY, Vol: 66, Pages: 1267-1301, ISSN: 0303-6812

Journal article

Degond P, Frouvelle A, Liu J-G, Motsch S, Navoret Let al., 2013, Macroscopic models of collective motion and self-organization, ee, Vol: 20, Pages: 2-2013

In this paper, we review recent developments on the derivation and propertiesof macroscopic models of collective motion and self-organization. The startingpoint is a model of self-propelled particles interacting with its neighborsthrough alignment. We successively derive a mean-field model and itshydrodynamic limit. The resulting macroscopic model is the Self-OrganizedHydrodynamics (SOH). We review the available existence results and knownproperties of the SOH model and discuss it in view of its possible extensionsto other kinds of collective motion.

Journal article

Degond P, Hua J, 2013, Self-organized hydrodynamics with congestion and path formation in crowds, JOURNAL OF COMPUTATIONAL PHYSICS, Vol: 237, Pages: 299-319, ISSN: 0021-9991

Journal article

Degond P, Liu J-G, Motsch S, Panferov Vet al., 2013, Hydrodynamic models of self-organized dynamics: Derivation and existence theory, Methods and Applications of Analysis, Vol: 20, Pages: 89-114, ISSN: 1073-2772

Journal article

Degond P, Liu J-G, Ringhofer C, 2012, A Nash equilibrium macroscopic closure for kinetic models coupled with Mean-Field Games

We introduce a new mean field kinetic model for systems of rational agentsinteracting in a game theoretical framework. This model is inspired fromnon-cooperative anonymous games with a continuum of players and Mean-FieldGames. The large time behavior of the system is given by a macroscopic closurewith a Nash equilibrium serving as the local thermodynamic equilibrium. Anapplication of the presented theory to a social model (herding behavior) isdiscussed.

Journal article

Cordier F, Degond P, Kumbaro A, 2012, An Asymptotic-Preserving all-speed scheme for the Euler and Navier-Stokes equations, JOURNAL OF COMPUTATIONAL PHYSICS, Vol: 231, Pages: 5685-5704, ISSN: 0021-9991

Journal article

Lemercier S, Jelic A, Kulpa R, Hua J, Fehrenbach J, Degond P, Appert-Rolland C, Donikian S, Pettre Jet al., 2012, Realistic following behaviors for crowd simulation, COMPUTER GRAPHICS FORUM, Vol: 31, Pages: 489-498, ISSN: 0167-7055

Journal article

Degond P, Liu J-G, 2012, HYDRODYNAMICS OF SELF-ALIGNMENT INTERACTIONS WITH PRECESSION AND DERIVATION OF THE LANDAU-LIFSCHITZ-GILBERT EQUATION, MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, Vol: 22, ISSN: 0218-2025

Journal article

Degond P, Lozinski A, Narski J, Negulescu Cet al., 2012, An asymptotic-preserving method for highly anisotropic elliptic equations based on a Micro-Macro decomposition, JOURNAL OF COMPUTATIONAL PHYSICS, Vol: 231, Pages: 2724-2740, ISSN: 0021-9991

Journal article

Degond P, Liu H, Savelief D, Vignal M-Het al., 2012, Numerical Approximation of the Euler-Poisson-Boltzmann Model in the Quasineutral Limit, JOURNAL OF SCIENTIFIC COMPUTING, Vol: 51, Pages: 59-86, ISSN: 0885-7474

Journal article

Degond P, Dimarco G, 2012, Fluid simulations with localized boltzmann upscaling by direct simulation Monte-Carlo, JOURNAL OF COMPUTATIONAL PHYSICS, Vol: 231, Pages: 2414-2437, ISSN: 0021-9991

Journal article

Moussaid M, Guillot EG, Moreau M, Fehrenbach J, Chabiron O, Lemercier S, Pettre J, Appert-Rolland C, Degond P, Theraulaz Get al., 2012, Traffic Instabilities in Self-Organized Pedestrian Crowds, PLOS COMPUTATIONAL BIOLOGY, Vol: 8, ISSN: 1553-734X

Journal article

Degond P, Deluzet F, Lozinski A, Narski J, Negulescu Cet al., 2012, DUALITY-BASED ASYMPTOTIC-PRESERVING METHOD FOR HIGHLY ANISOTROPIC DIFFUSION EQUATIONS, COMMUNICATIONS IN MATHEMATICAL SCIENCES, Vol: 10, Pages: 1-31, ISSN: 1539-6746

Journal article

Degond P, Deluzet F, Savelief D, 2012, Numerical approximation of the Euler-Maxwell model in the quasineutral limit, JOURNAL OF COMPUTATIONAL PHYSICS, Vol: 231, Pages: 1917-1946, ISSN: 0021-9991

Journal article

Brull S, Degond P, Deluzet F, 2012, Degenerate Anisotropic Elliptic Problems and Magnetized Plasma Simulations, COMMUNICATIONS IN COMPUTATIONAL PHYSICS, Vol: 11, Pages: 147-178, ISSN: 1815-2406

Journal article

Pebernet L, Ferrieres X, Mouysset V, Rogier F, Degond Pet al., 2012, A Discontinuous Galerkin Formalism to Solve the Maxwell-Vlasov Equations. Application to High Power Microwave Sources, 8th Conference on Scientific Computing in Electrical Engineering (SCEE), Publisher: SPRINGER-VERLAG BERLIN, Pages: 183-192, ISSN: 1612-3956

Conference paper

Acheritogaray M, Degond P, Frouvelle A, Liu J-Get al., 2011, KINETIC FOR MULATION AND GLOBAL EXISTENCE FOR THE HALL-MAGNETO-HYDRODYNAMICS SYSTEM, KINETIC AND RELATED MODELS, Vol: 4, Pages: 901-918, ISSN: 1937-5093

Journal article

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