Homogenization of fully overdamped Frenkel-Kontorova models - Archive ouverte HAL Access content directly
Journal Articles Journal of Differential Equations Year : 2009

Homogenization of fully overdamped Frenkel-Kontorova models


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.
Fichier principal
Vignette du fichier
fim2-170208.pdf (308.64 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-00266994 , version 1 (26-03-2008)
hal-00266994 , version 2 (31-03-2008)



Nicolas Forcadel, Cyril Imbert, Régis Monneau. Homogenization of fully overdamped Frenkel-Kontorova models. Journal of Differential Equations, 2009, 246, pp 1057--1097. ⟨10.1016/j.jde.2008.06.034⟩. ⟨hal-00266994v2⟩
295 View
201 Download



Gmail Facebook Twitter LinkedIn More