Overview

The main focus of this book is on different topics in probability theory, partial differential equations and kinetic theory, presenting some of the latest developments in these fields. It addresses mathematical problems concerning applications in physics, engineering, chemistry and biology that were presented at the Third International Conference on Particle Systems and Partial Differential Equations, held at the University of Minho, Braga, Portugal in December 2014.   The purpose of the conference was to bring together prominent researchers working in the fields of particle systems and partial differential equations, providing a venue for them to present their latest findings and discuss their areas of expertise. Further, it was intended to introduce a vast and varied public, including young researchers, to the subject of interacting particle systems, its underlying motivation, and its relation to partial differential equations.  This book will appeal to probabilists, analysts and those mathematicians whose work involves topics in mathematical physics, stochastic processes and differential equations in general, as well as those physicists whose work centers on statistical mechanics and kinetic theory.

Full Product Details

Author:   Patrícia Gonçalves ,  Ana Jacinta Soares
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   Softcover reprint of the original 1st ed. 2016
Volume:   162
Dimensions:   Width: 15.50cm , Height: 1.90cm , Length: 23.50cm
Weight:   5.445kg
ISBN:  

9783319812076

ISBN 10:   3319812076
Pages:   350
Publication Date:   31 May 2018
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Convergence of Diffusion-Drift Many Particle Systems in Probability under a Sobolev Norm.- Global asymptotic stability of a general nonautonomous Cohen-Grossberg model with unbounded amplification functions.- Modelling of systems with a dispersed phase:“measuring” small sets in the presence of elliptic operators.- From market data to agent-based models and stochastic differential equations.- Entropy dissipation estimates for the Landau equation: General cross sections.- Phase transitions and coarse-graining for asystem of particles in the continuum.- Sub–shock formation in reacting gas mixtures.- The gradient flow approach to hydrodynamic limits for the simple exclusion process.- The gradient flow approach to hydrodynamic limits for the simple exclusion process.- Hydrodynamic limit of quantum random walks.- Derivation of the Boltzmann equation: hard spheres, short-range potentials and beyond.- Duality relations for the periodic ASEP conditioned ona low current.- Asymptotics for FBSDES with Jumps and Connections with Partial Integral Differential Equations.- The Boltzmann Equation over RD: Dispersion vs Dissipation.

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