Existence, uniqueness and homogenization of nonlinear parabolic problems with dynamical boundary conditions in perforated media - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Mediterranean Journal of Mathematics Année : 2020

Existence, uniqueness and homogenization of nonlinear parabolic problems with dynamical boundary conditions in perforated media

Résumé

We consider a nonlinear parabolic problem with dynamical boundary conditions in a media perforated by periodically distributed holes of size ε. The existence and uniqueness of solution is analyzed. Moreover, passing to the limit when ε goes to zero, a new nonlinear parabolic problem defined on a unified domain without holes with zero Dirichlet boundary condition and with extra-terms coming from the influence of the dynamical boundary conditions is rigorously derived.
Fichier principal
Vignette du fichier
Anguiano.pdf (258.73 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-01643317 , version 1 (21-11-2017)
hal-01643317 , version 2 (16-01-2024)

Identifiants

Citer

María Anguiano. Existence, uniqueness and homogenization of nonlinear parabolic problems with dynamical boundary conditions in perforated media. Mediterranean Journal of Mathematics, 2020, 17 (18), ⟨10.1007/s00009-019-1459-y⟩. ⟨hal-01643317v2⟩

Collections

TDS-MACS
662 Consultations
249 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More