Overview
- 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
Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 75)
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Table of contents (15 papers)
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Front Matter
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Mini-course
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Front Matter
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Short Papers
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Front Matter
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Keywords
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.
Editors and Affiliations
Bibliographic Information
Book Title: From Particle Systems to Partial Differential Equations
Book Subtitle: Particle Systems and PDEs, Braga, Portugal, December 2012
Editors: Cédric Bernardin, Patricia Gonçalves
Series Title: Springer Proceedings in Mathematics & Statistics
DOI: https://doi.org/10.1007/978-3-642-54271-8
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2014
Hardcover ISBN: 978-3-642-54270-1Published: 03 June 2014
Softcover ISBN: 978-3-662-51240-1Published: 17 September 2016
eBook ISBN: 978-3-642-54271-8Published: 17 May 2014
Series ISSN: 2194-1009
Series E-ISSN: 2194-1017
Edition Number: 1
Number of Pages: VIII, 320
Number of Illustrations: 32 b/w illustrations
Topics: Partial Differential Equations, Analysis, Applications of Mathematics, Probability Theory and Stochastic Processes, Numerical and Computational Physics, Simulation