edited by B Perthame (Université Pierre et Marie Curie, France)

This selection of 8 papers discusses “Equations of Kinetic Physics” with emphasis on analysis, modelling and computing. The first 3 papers are on numerical methods for Vlasov-Poisson and Vlasov-Maxwell Equations — Comparison between Particles and Eulerian Methods (G Manfredi and M R Feix), Computing BGK Instability with Eulerian Codes (M R Feix, Pertrand & A Ghieco) and Coupling Particles and Eulerian Methods (S Mas-Gallic and P A Raviart) — Followed by a survey of kinetic and macroscopic models for semiconductor devices — Boltzmann Equation, Drift-Diffusion Models (F Poupaud). In addition, there are 2 papers on the modelling and analysis of singular perturbation problems arising in plasma physics — Derivation of the Child-Lagmuyr Emission Laws (P Degond) and Euler Models with Small Pressure Terms (F Bouchut) — followed by two papers on the analysis and numerical analysis of the Boltzmann equations — Symmetry Properties in the Polynomials Arising in Chapman-Enskog Expansion (L Desvillettes and F Golse) and A General Introduction to Computing the Boltzmann Equations with Random Particle Methods (B Perthame).

• Vlasov-Poisson in Plasma Physics:
  • The Child-Langmuir Law in the Kinetic Theory of Charged-Particles. Part 1, Electron Flows in Vacuum (P Degond)
  • Eulerian Codes for the Vlasov Equation (M R Feix et al.)
  • Mathematical Models of Ion Extraction and Plasma Sheaths (S Mas-Gallic & P A Raviart)
• Quantum Mechanics and Semiconductors:
  • Transport Equations for Quantum Plasmas (G Manfredi & M R Feix)
  • Mathematical Theory of Kinetic Equations for Transport Modelling in Semiconductors (F Poupaud)
• Boltzmann Equations and Gas Dynamics:
  • On Zero Pressure Gas Dynamics (F Bouchut)
  • A Remark Concerning the Chapman-Enskog Asymptotics (L Desvillettes & F Golse)
  • Introduction to the Theory of Random Particle Methods for Boltzmann Equation (B Perthame)