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.
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.
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.
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
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The weighted particle method for convection-diffusion equations. I. The case of an isotropic viscosity
P. Degond;S. Mas-Gallic.
Mathematics of Computation (1989)
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)
Continuum limit of self-driven particles with orientation interaction
Pierre Degond;Sébastien Motsch.
Mathematical Models and Methods in Applied Sciences (2008)
On a hierarchy of macroscopic models for semiconductors
N. Ben Abdallah;P. Degond.
Journal of Mathematical Physics (1996)
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)
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)
HABILITATION A DIRIGER DES RECHERCHES
L’Étude Mathématique;De Quelques Modèles;Issus De La;Physique Statistique.
Quantum Moment Hydrodynamics and the Entropy Principle
P. Degond;Christian Ringhofer.
Journal of Statistical Physics (2003)
Traffic instabilities in self-organized pedestrian crowds.
Mehdi Moussaïd;Elsa G. Guillot;Mathieu Moreau;Jérôme Fehrenbach.
PLOS Computational Biology (2012)
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)
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