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Free Boundary Problems in PDEs and Particle Systems

In this volume a theory for models of transport in the presence of a free boundary is developed. Macroscopic laws of transport are described by PDE's. When the system is open, there are several mechanisms to couple the system with the external forces. Here a class of systems where the interacti...

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Bibliographic Details
Main Authors: Carinci, Gioia, De Masi, Anna (Author), Giardina, Cristian (Author), Presutti, Errico (Author)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2016, 2016
Edition:1st ed. 2016
Series:SpringerBriefs in Mathematical Physics
Subjects:
Heat Engineering
Mathematical Methods In Physics
Thermodynamics
Heat Transfer
Statistical Physics
Mathematical Physics
Complex Systems
Partial Differential Equations
Physics
Mass Transfer
Engineering Thermodynamics, Heat And Mass Transfer
Probability Theory And Stochastic Processes
Dynamical Systems
Probabilities
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Introduction
  • Part I The basic model
  • Introduction to Part I
  • The basic model, definitions and results
  • Regularity properties of the barriers
  • Lipschitz and L1 estimates
  • Mass transport inequalities
  • The limit theorems on barriers
  • Brownian motion and the heat equation
  • Existence of optimal sequences
  • Proof of the main theorem
  • The basic particle model and its hydrodynamic limit
  • Part II Variants of the basic model
  • Introduction to Part II
  • Independent walkers with current reservoirs
  • Beyond diffusive scaling
  • Other models

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