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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Carinci, Gioia (Autor), De Masi, Anna (Autor), Giardina, Cristian (Autor), Presutti, Errico (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edición:1st ed. 2016.
Colección:SpringerBriefs in Mathematical Physics, 12
Temas:
Differential equations.
System theory.
Mathematical physics.
Probabilities.
Thermodynamics.
Heat engineering.
Heat transfer.
Mass transfer.
Differential Equations.
Complex Systems.
Mathematical Physics.
Probability Theory.
Mathematical Methods in Physics.
Engineering Thermodynamics, Heat and Mass Transfer.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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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