A Review of Mathematical Topics in Collisional Kinetic Theory

2002/01/01 by Cédric Villani · 9 citations
Engineering · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Computational Fluid Dynamics and Aerodynamics #Gas Dynamics and Kinetic Theory

paper · doi:10.1016/s1874-5792(02)80004-0

crossref issued 2002/01/01 · crossref published 2002/01/01 · crossref published-print 2002/01/01 · openalex publication_date 2002/01/01 · crossref created 2007/09/07 · crossref deposited 2019/01/04 · openalex created_date 2025/10/10 · crossref indexed 2026/08/03 · openalex updated_date 2026/08/04

Citations

• Global weak solutions of Vlasov‐Maxwell systems
• Theory of Statistical Estimation
• Instability of periodic BGK equilibria
• Polar factorization and monotone rearrangement of vector‐valued functions
• IV. On the dynamical theory of gases

Cited by

• On the trend to global equilibrium for spatially inhomogeneous kinetic systems: The Boltzmann equation
• Mathematics of Granular Materials
• The Cauchy problem for the inhomogeneous non-cutoff Kac equation in critical Besov space
• Hypoelliptic Estimates for a Linear Model of the Boltzmann Equation without Angular Cutoff
• On the Cauchy problem with large data for the space-dependent Boltzmann Nordheim equation III
• Approach to Equilibrium for the Phonon Boltzmann Equation
• Schauder's estimate for nonlocal kinetic equations and its applications
• FourierSpecNet: Neural Collision Operator Approximation Inspired by the Fourier Spectral Method for Solving the Boltzmann Equation
• Cédric Villani [wikipedia]