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- Pierre Degond

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
65
Citations
12,410
307
World Ranking
285
National Ranking
15

- Quantum mechanics
- Mathematical analysis
- Electron

Pierre Degond mainly focuses on Mathematical analysis, Statistical physics, Classical mechanics, Discretization and Limit. His research integrates issues of Compressibility and Stability in his study of Mathematical analysis. His Statistical physics study incorporates themes from Kinetic energy, Heavy traffic approximation, Fick's laws of diffusion and Fokker–Planck equation.

His Classical mechanics study combines topics in areas such as Boltzmann constant, Steady state, Electron, Magnetic field and Scaling. His Discretization research is multidisciplinary, incorporating elements of Conservation of mass, Approximations of π and Finite element method. His Limit research incorporates themes from Probability density function, Hierarchy, Mathematical economics, Game theory and Von Mises–Fisher distribution.

- Continuum limit of self-driven particles with orientation interaction (307 citations)
- The weighted particle method for convection-diffusion equations. I. The case of an isotropic viscosity (257 citations)
- Global existence for the Vlasov-Poisson equation in 3 space variables with small initial data (231 citations)

Pierre Degond mainly investigates Statistical physics, Classical mechanics, Mathematical analysis, Limit and Kinetic energy. His Statistical physics research is multidisciplinary, relying on both Phase transition, Stability, Kinetic theory of gases and Boltzmann equation. The Boltzmann equation study combines topics in areas such as Boltzmann constant and Euler equations.

He is involved in the study of Classical mechanics that focuses on Self-propelled particles in particular. His work on Mathematical analysis is being expanded to include thematically relevant topics such as Compressibility. His biological study spans a wide range of topics, including Discretization, Distribution, Plasma and Applied mathematics.

- Statistical physics (30.38%)
- Classical mechanics (27.51%)
- Mathematical analysis (23.44%)

- Statistical physics (30.38%)
- Classical mechanics (27.51%)
- Macroscopic model (8.61%)

His primary scientific interests are in Statistical physics, Classical mechanics, Macroscopic model, Limit and Phase transition. A large part of his Statistical physics studies is devoted to Thermodynamic limit. Pierre Degond works in the field of Classical mechanics, focusing on Self-propelled particles in particular.

His Limit study integrates concerns from other disciplines, such as Finite set, Topology, Magnetic field and Rank. His research investigates the connection with Phase transition and areas like Bifurcation which intersect with concerns in Particle, Instability and Kinetic theory of gases. Continuum is closely attributed to Mathematical analysis in his research.

- A new flocking model through body attitude coordination (43 citations)
- Phase Transitions in a Kinetic Flocking Model of Cucker--Smale Type (42 citations)
- Coagulation–Fragmentation Model for Animal Group-Size Statistics (35 citations)

- Quantum mechanics
- Mathematical analysis
- Electron

His main research concerns Classical mechanics, Statistical physics, Macroscopic model, Phase transition and Kinetic energy. He does research in Classical mechanics, focusing on Self-propelled particles specifically. Thermodynamic limit is the focus of his Statistical physics research.

His Phase transition research also works with subjects such as

- Bifurcation which intersects with area such as Particle dynamics, Scale and Kinetic theory of gases,
- Particle which connect with Reynolds number, Linear stability analysis, Dipole and Point. His Kinetic energy research focuses on Flocking and how it relates to Orthonormal basis, Collective motion and Rotation group SO. His Von Mises–Fisher distribution study deals with the bigger picture of Mathematical analysis.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

The weighted particle method for convection-diffusion equations. I. The case of an isotropic viscosity

P. Degond;S. Mas-Gallic.

Mathematics of Computation **(1989)**

510 Citations

Global existence for the Vlasov-Poisson equation in 3 space variables with small initial data

C. Bardos;P. Degond.

Annales De L Institut Henri Poincare-analyse Non Lineaire **(1985)**

368 Citations

Continuum limit of self-driven particles with orientation interaction

Pierre Degond;Sébastien Motsch.

Mathematical Models and Methods in Applied Sciences **(2008)**

346 Citations

On a hierarchy of macroscopic models for semiconductors

N. Ben Abdallah;P. Degond.

Journal of Mathematical Physics **(1996)**

317 Citations

On a finite-element method for solving the three-dimensional Maxwell equations

F. Assous;P. Degond;E. Heintze;P. A. Raviart.

Journal of Computational Physics **(1993)**

286 Citations

Kinetic formulation and global existence for the Hall-Magneto-hydrodynamics system

Marion Acheritogaray;Pierre Degond;Amic Frouvelle;Jian-Guo Liu.

Kinetic and Related Models **(2011)**

278 Citations

HABILITATION A DIRIGER DES RECHERCHES

L’Étude Mathématique;De Quelques Modèles;Issus De La;Physique Statistique.

**(2004)**

225 Citations

Quantum Moment Hydrodynamics and the Entropy Principle

P. Degond;Christian Ringhofer.

Journal of Statistical Physics **(2003)**

222 Citations

Traffic instabilities in self-organized pedestrian crowds.

Mehdi Moussaïd;Elsa G. Guillot;Mathieu Moreau;Jérôme Fehrenbach.

PLOS Computational Biology **(2012)**

221 Citations

A model for the dynamics of large queuing networks and supply chains

Dieter Armbruster;Pierre Degond;Christian A. Ringhofer.

Siam Journal on Applied Mathematics **(2006)**

204 Citations

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