From Particle Systems to Partial Differential Equations III: Particle Systems and Pdes III, Braga, Portugal, December 2014

Book Overview

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 on a low current.- Asymptotics for FBSDES with Jumps and Connections with Partial Integral Differential Equations.- The Boltzmann Equation over RD: Dispersion vs Dissipation.

• Format: Paperback
• Language: English
• ISBN: 3319812076
• ISBN13: 9783319812076
• Release Date: May 2018
• Publisher: Springer
• Length: 350 Pages
• Weight: 1.11 lbs.
• Dimensions: 0.8" x 6.1" x 9.2"