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
668 Consultations
254 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More