LEADER 06444nam 22007935 450 001 9910300155403321 005 20200701133314.0 010 $a3-642-54271-9 024 7 $a10.1007/978-3-642-54271-8 035 $a(CKB)3710000000114452 035 $a(EBL)1731255 035 $a(OCoLC)884013963 035 $a(SSID)ssj0001242866 035 $a(PQKBManifestationID)11651961 035 $a(PQKBTitleCode)TC0001242866 035 $a(PQKBWorkID)11268827 035 $a(PQKB)10232321 035 $a(MiAaPQ)EBC1731255 035 $a(DE-He213)978-3-642-54271-8 035 $a(PPN)178781657 035 $a(EXLCZ)993710000000114452 100 $a20140517d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFrom Particle Systems to Partial Differential Equations $eParticle Systems and PDEs, Braga, Portugal, December 2012 /$fedited by Cédric Bernardin, Patricia Gonçalves 205 $a1st ed. 2014. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2014. 215 $a1 online resource (321 p.) 225 1 $aSpringer Proceedings in Mathematics & Statistics,$x2194-1009 ;$v75 300 $aDescription based upon print version of record. 311 $a3-642-54270-0 320 $aIncludes bibliographical references at the end of each chapters. 327 $aMini-Course: 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 zero-range 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 Zero-range 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 Velocity-flip Model: M. Simon -- Large number asymptotics for two?component systems with self?consistent coupling: V. Ricci -- On a stochastic coupled system of reaction-diffusion of nonlocal type: E.A. Coayla-Terán, J. Ferreira, P.M.D. de Magalhães, and H. B. de Oliveira. 330 $aThis book presents the proceedings of the international conference Particle Systems and Partial Differential Equations I, which took place at the Centre of Mathematics of the University of Minho, Braga, Portugal, from the 5th to the 7th of December, 2012.  The purpose of the conference was to bring together world leaders to discuss their topics of expertise and to present some of their latest research developments in those fields. Among the participants were researchers in probability, partial differential equations and kinetics theory. The aim of the meeting was to present to a varied public the subject of interacting particle systems, its motivation from the viewpoint of physics and its relation with partial differential equations or kinetics theory, and to stimulate discussions and possibly new collaborations among researchers with different backgrounds.  The book contains lecture notes written by François Golse on the derivation of hydrodynamic equations (compressible and incompressible Euler and Navier-Stokes) from the Boltzmann equation, and several short papers written by some of the participants in the conference. Among the topics covered by the short papers are hydrodynamic limits; fluctuations; phase transitions; motions of shocks and antishocks in exclusion processes; large number asymptotics for systems with self-consistent coupling; quasi-variational inequalities; unique continuation properties for PDEs and others.  The book will benefit probabilists, analysts and mathematicians who are interested in statistical physics, stochastic processes, partial differential equations and kinetics theory, along with physicists. 410 0$aSpringer Proceedings in Mathematics & Statistics,$x2194-1009 ;$v75 606 $aPartial differential equations 606 $aMathematical analysis 606 $aAnalysis (Mathematics) 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aProbabilities 606 $aPhysics 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aAnalysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12007 606 $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003 606 $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004 606 $aNumerical and Computational Physics, Simulation$3https://scigraph.springernature.com/ontologies/product-market-codes/P19021 615 0$aPartial differential equations. 615 0$aMathematical analysis. 615 0$aAnalysis (Mathematics). 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 0$aProbabilities. 615 0$aPhysics. 615 14$aPartial Differential Equations. 615 24$aAnalysis. 615 24$aApplications of Mathematics. 615 24$aProbability Theory and Stochastic Processes. 615 24$aNumerical and Computational Physics, Simulation. 676 $a515.353 702 $aBernardin$b Cédric$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aGonçalves$b Patricia$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a9910300155403321 996 $aFrom Particle Systems to Partial Differential Equations$92276572 997 $aUNINA