Communications in Mathematical Sciences

Volume 5 (2007)

Supp. 1

Supplemental Issue 1

Contents

Preface, Commun. Math. Sci., vol. 5, Supplement (2007)

François Castella and François Golse

The TDHF Approximation for Hamiltonians with $m$-particle Interaction Potentials

Claude Bardos, Bernard Ducomet, François Golse, Alex D. Gottlieb, and Norbert J. Mauser

pp. 1-9

Long Time Behavior of Particle Systems in the Mean Field Limit

Emanuele Caglioti and Frédéric Rousset

pp. 11-19

Semidiscretization and Long-time Asymptotics of Nonlinear Diffusion Equations

José A. Carrillo, Marco Di Francesco, and Maria P. Gualdani

pp. 21-53

A Short Review on the Derivation of the Nonlinear Quantum Boltzmann Equations

D. Benedetto, F. Castella, R. Esposito, and M. Pulvirenti

pp. 55-71

Quantitative Linearized Study of the Boltzmann Collision Operator and Applications

Clément Mouhot

pp. 73-86

Smooth Solutions to the Relativistic Vlasov-Maxwell System

Christophe Pallard

pp. 87-94

Non Markovian Behavior of the Boltzmann-Grad Limit of Linear Stochastic Particle Systems

Valeria Ricci

pp. 95-105