Springer Proceedings in Mathematics & Statistics

From Particle Systems to Partial Differential Equations

Particle Systems and PDEs, Braga, Portugal, December 2012

Editors: Bernardin, Cédric, Gonçalves, Patrícia (Eds.)

  • Presents papers on a wide range of topics, along with two mini-courses intended to introduce the topics in a smooth, accessible manner
  • Topics include 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 more
  • Benefits probabilists, analysts, mathematicians and physicists interested in statistical physics, stochastic processes, partial differential equations and kinetics theory
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eBook $109.00
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  • ISBN 978-3-642-54271-8
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Hardcover $139.00
price for USA
  • ISBN 978-3-642-54270-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.00
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  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: November 4, 2016
  • ISBN 978-3-662-51240-1
  • Free shipping for individuals worldwide
Rent the ebook  
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About this book

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.

Table of contents (15 chapters)

  • Fluid Dynamic Limits of the Kinetic Theory of Gases

    Golse, François

    Pages 3-91

  • Stationary Quasivariational Inequalities with Gradient Constraint and Nonhomogeneous Boundary Conditions

    Azevedo, Assis (et al.)

    Pages 95-112

  • Shocks and Antishocks in the ASEP Conditioned on a Low Current

    Belitsky, Vladimir (et al.)

    Pages 113-128

  • Superdiffusion of Energy in Hamiltonian Systems Perturbed by a Conservative Noise

    Bernardin, Cédric

    Pages 129-141

  • Equilibrium Fluctuations of Additive Functionals of Zero-Range Models

    Bernardin, Cédric (et al.)

    Pages 143-160

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-3-642-54271-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA
  • ISBN 978-3-642-54270-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: November 4, 2016
  • ISBN 978-3-662-51240-1
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
From Particle Systems to Partial Differential Equations
Book Subtitle
Particle Systems and PDEs, Braga, Portugal, December 2012
Editors
  • Cédric Bernardin
  • Patrícia Gonçalves
Series Title
Springer Proceedings in Mathematics & Statistics
Series Volume
75
Copyright
2014
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-54271-8
DOI
10.1007/978-3-642-54271-8
Hardcover ISBN
978-3-642-54270-1
Softcover ISBN
978-3-662-51240-1
Series ISSN
2194-1009
Edition Number
1
Number of Pages
VIII, 320
Number of Illustrations and Tables
32 b/w illustrations
Topics