ENGLISH

From Particle Systems to Partial Differential Equations: Particle Systems and PDEs, Braga, Portugal, December 2012

By Cédric Bernardin , Patricia Gonçalves (eds.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2014
ISBN
978-3-642-54270-1, 978-3-642-54271-8
DOI
10.1007/978-3-642-54271-8
Language
english
Format
PDF
Filesize
4 MB (3675273 bytes)
Series
Springer Proceedings in Mathematics & Statistics 75
Edition
1
Pages
320\321
Time added
2014-06-12 06:00:00
Partial Differential Equations; Analysis; Applicat

Description

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. The purpose of the conference was to bring together world leaders to discuss their topics of expertise and to present some of their latest research developments in those fields. Among the participants were researchers in probability, partial differential equations and kinetics theory. The aim of the meeting was to present to a varied public the subject of interacting particle systems, its motivation from the viewpoint of physics and its relation with partial differential equations or kinetics theory and to stimulate discussions and possibly new collaborations among researchers with different backgrounds. The book contains lecture notes written by François Golse on the derivation of hydrodynamic equations (compressible and incompressible Euler and Navier-Stokes) from the Boltzmann equation, and several short papers written by some of the participants in the conference. Among the topics covered by the short papers are hydrodynamic limits; fluctuations; phase transitions; motions of shocks and anti shocks in exclusion processes; large number asymptotics for systems with self-consistent coupling; quasi-variational inequalities; unique continuation properties for PDEs and others. The book will benefit probabilists, analysts and mathematicians who are interested in statistical physics, stochastic processes, partial differential equations and kinetics theory, along with physicists.

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