From Particle Systems to Partial Differential Equations

Particle Systems and PDEs, Braga, Portugal, December 2012

  • Cédric Bernardin
  • Patricia Gonçalves
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 75)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Mini-course

    1. Front Matter
      Pages 1-1
  3. Short Papers

    1. Front Matter
      Pages 93-93
    2. Vladimir Belitsky, Gunter M. Schütz
      Pages 113-128
    3. Cédric Bernardin, Patrícia Gonçalves, Sunder Sethuraman
      Pages 143-160
    4. Tertuliano Franco, Patrícia Gonçalves, Adriana Neumann
      Pages 191-205
    5. Patrícia Gonçalves
      Pages 207-224
    6. Filipe Carvalho, Jacek Polewczak, Ana Jacinta Soares
      Pages 251-267
    7. Marielle Simon
      Pages 269-284
    8. E. A. Coayla-Teran, J. Ferreira, P. M. D. de Magalhães, H. B. de Oliveira
      Pages 301-320

About these proceedings

Introduction

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 antishocks 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.

Keywords

Interacting particle systems kinetic theory partial differential equations

Editors and affiliations

  • Cédric Bernardin
    • 1
  • Patricia Gonçalves
    • 2
  1. 1.UMR CNRS-UNS 7351Université de Nice Sophia Antipolis, Laboratoire J.A.DieudonnéNiceFrance
  2. 2.Universidade do Minho, Centre of MathematicsBragaPortugal

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-54271-8
  • Copyright Information Springer-Verlag Berlin Heidelberg 2014
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-54270-1
  • Online ISBN 978-3-642-54271-8
  • Series Print ISSN 2194-1009
  • Series Online ISSN 2194-1017
  • About this book