From Particle Systems to Partial Differential Equations

This book presents the proceedings of the international conference Particle Systems and Partial Differential Equations I, which took place at the Centre of Mathematics of the University of Minho, Braga, Portugal, from the 5th to the 7th of December, 2012.

Mini-Course: Fluid dynamic Limits of the Kinetic theory of gases : F. Golse.- Short Papers: Stationary quasivariational inequalities with gradient constraint and nonhomogeneous boundary conditions: A. Azevedo, F. Miranda, and L. Santos.- Shocks and antishocks in the ASEP conditioned on a low current: V. Belitsky and G.M. Schütz.- Superdiffusion of energy in Hamiltonian systems perturbed by a conservative noise: C. Bernardin.- Equilibrium fluctuations of additive functionals of zero-range models: C. Bernardin, P. Gonçalves, and S. Sethuraman.- A survey on Bogoliubov generating functionals for interacting particle systems in the continuum: D.L. Finkelshtein and M. João Oliveira.- Interacting particle systems: hydrodynamic limit versus high density limit: T. Franco.- Slowed exclusion process: hydrodynamics, fluctuations and phase transitions: T. Franco, P. Gonçalves, and A. Neumann.- Exclusion and Zero-range in the rarefaction fan: P. Gonçalves.- Microscopic derivation of an isothermal thermodynamic transformation: S. Olla.- Unique continuation property for the Benjamin equation: M. Panthee.- On the kinetic systems for simple reacting spheres: modeling and linearized equations: F. Carvalho, J. Polewczak, and A. Jacinta Soares.- Hydrodynamic Limit for the Velocity-flip Model: M. Simon.- Large number asymptotics for two-component systems with self-consistent coupling: V. Ricci.- On a stochastic coupled system of reaction-diffusion of nonlocal type: E.A. Coayla-Terán, J. Ferreira, P.M.D. de Magalhães, and H. B. de Oliveira.