• français
    • English
  • English 
    • français
    • English
  • Login
JavaScript is disabled for your browser. Some features of this site may not work without it.
BIRD Home

Browse

This CollectionBy Issue DateAuthorsTitlesSubjectsJournals BIRDResearch centres & CollectionsBy Issue DateAuthorsTitlesSubjectsJournals

My Account

Login

Statistics

View Usage Statistics

Homogenization of fully overdamped Frenkel-Kontorova models

Thumbnail
Date
2009
Link to item file
http://hal.archives-ouvertes.fr/hal-00266994/en/
Dewey
Probabilités et mathématiques appliquées
Sujet
Slepcev formulation; cumulative distribution function; hull function; Hamilton-Jacobi equations; Frenkel-Kontorova models; periodic homogenization; Particle systems
Journal issue
Journal of Differential Equations
Volume
246
Publication date
2009
Article pages
1057-1097
Publisher
Elsevier
DOI
http://dx.doi.org/10.1016/j.jde.2008.06.034
URI
https://basepub.dauphine.fr/handle/123456789/561
Collections
  • CEREMADE : Publications
Metadata
Show full item record
Author
Monneau, Régis
Imbert, Cyril
Forcadel, Nicolas
Type
Article accepté pour publication ou publié
Abstract (EN)
In this paper, we consider the fully overdamped Frenkel-Kontorova model. This is an infinite system of coupled first order ODEs. Each ODE represents the microscopic evolution of one particle interacting with its neighbors and submitted to a fixed periodic potential. After a proper rescaling, a macroscopic model describing the evolution of densities of particles is obtained. We get this homogenization result for a general class of Frenkel-Kontorova models. The proof is based on the construction of suitable hull functions in the framework of viscosity solutions.

  • Accueil Bibliothèque
  • Site de l'Université Paris-Dauphine
  • Contact
SCD Paris Dauphine - Place du Maréchal de Lattre de Tassigny 75775 Paris Cedex 16

 Content on this site is licensed under a Creative Commons 2.0 France (CC BY-NC-ND 2.0) license.