By Cédric Bernardin, Patricia Gonçalves

This publication offers the court cases of the foreign convention Particle structures and Partial Differential Equations I, which happened on the Centre of arithmetic of the collage of Minho, Braga, Portugal, from the fifth to the seventh of December, 2012.

The goal of the convention used to be to assemble global leaders to debate their issues of workmanship and to give a few of their most up-to-date study advancements in these fields. one of the members have been researchers in chance, partial differential equations and kinetics idea. the purpose of the assembly was once to provide to a assorted public the topic of interacting particle platforms, its motivation from the point of view of physics and its relation with partial differential equations or kinetics idea and to stimulate discussions and doubtless new collaborations between researchers with diverse backgrounds.

The ebook comprises lecture notes written by way of François Golse at the derivation of hydrodynamic equations (compressible and incompressible Euler and Navier-Stokes) from the Boltzmann equation, and a number of other brief papers written through many of the members within the convention. one of the subject matters coated by way of the fast papers are hydrodynamic limits; fluctuations; section transitions; motions of shocks and anti shocks in exclusion techniques; huge quantity asymptotics for structures with self-consistent coupling; quasi-variational inequalities; distinctive continuation homes for PDEs and others.

The ebook will gain probabilists, analysts and mathematicians who're drawn to statistical physics, stochastic tactics, partial differential equations and kinetics conception, besides physicists.