Journal Articles Mediterranean Journal of Mathematics Year : 2020

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

Abstract

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) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

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

Identifiers

Cite

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
688 View
278 Download

Altmetric

Share

More