The Boltzmann-Grad asymptotic behavior of collisional dynamics: a brief survey

Abstract

The article discusses some of the latest advances in the mathematical understanding of the nature of kinetic equations that describe the collective behavior of many-particle systems with collisional dynamics.

arXiv comment30 pages. arXiv admin note: text overlap with arXiv:1308.1789, arXiv:1307.6676

References in corpus (7)

• The Boltzmann-Grad Limit of a Hard Sphere System: Analysis of the Correlation Error
• On Rigorous Derivation of the Enskog Kinetic Equation
• The propagation of chaos for a rarefied gas of hard spheres in the whole space
• Quantum Kinetic Evolution of Marginal Observables
• On the non-Markovian Enskog Equation for Granular Gases
• On Semigroups of Large Particle Systems and their Scaling Asymptotic Behavior
• Structure of correlations for the Boltzmann-Grad limit of hard spheres

Cited by in corpus (6)

• Propagation processes of correlations of hard spheres
• Cluster expansion for a dilute hard sphere gas dynamics
• Advances in theory of evolution equations of many colliding particles
• Non-perturbative solutions of hierarchies of evolution equations for colliding particles
• Cumulant expansions of operator groups of quantum many-particle systems
• Towards kinetic equations of open systems of active soft matter