Description 
1 online resource 
Series 
Springer proceedings in mathematics & statistics ; volume 75 

Springer proceedings in mathematics & statistics ; v. 75

Contents 
MiniCourse: Fluid dynamic Limits of the Kinetic theory of gases : F. Golse  Short Papers: Stationary quasivariational inequalities with gradient constraint and nonhomogeneous boundary conditions:A. Azevedo, F. Miranda, and L. Santos  Shocks and antishocks in the ASEP conditioned on a low current: V. Belitsky and G.M. Schütz  Superdiffusion of energy in Hamiltonian systems perturbed by a conservative noise: C. Bernardin  Equilibrium fluctuations of additive functionals of zerorange models: C. Bernardin, P. Gonçalves, and S. Sethuraman  A survey on Bogoliubov generating functionals for interacting particle systems in the continuum: D.L. Finkelshtein and M. João Oliveira  Interacting particle systems: hydrodynamic limit versus high density limit: T. Franco  Slowed exclusion process: hydrodynamics, fluctuations and phase transitions: T. Franco, P. Gonçalves, and A. Neumann  Exclusion and Zerorange in the rarefaction fan: P. Gonçalves  Microscopic derivation of an isothermal thermodynamic transformation: S. Olla  Unique continuation property for the Benjamin equation: M. Panthee  On the kinetic systems for simple reacting spheres: modeling and linearized equations: F. Carvalho, J. Polewczak, and A. Jacinta Soares  Hydrodynamic Limit for the Velocityflip Model: M. Simon  Large number asymptotics for twocomponent systems with selfconsistent coupling: V. Ricci  On a stochastic coupled system of reactiondiffusion of nonlocal type: E.A. CoaylaTerán, J. Ferreira, P.M.D. de Magalhães, and H.B. de Oliveira 
Summary 
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 NavierStokes) 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 selfconsistent coupling; quasivariational 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 
Notes 
Print version record 
Subject 
Differential equations, Partial  Congresses.


Kinetic theory of matter  Mathematics  Congresses.


Algorithms.

Genre/Form 
Congress.


Conference papers and proceedings.


Conference papers and proceedings.

Form 
Electronic book

Author 
Bernardin, Cédric, editor


Goncalves, Patricia, 1974 editor

ISBN 
3642542719 (electronic bk.) 

9783642542718 (electronic bk.) 
