Reaction-diffusion equation on thin porous media - Archive ouverte HAL Access content directly
Journal Articles Bulletin of the Malaysian Mathematical Sciences Society Year : 2021

Reaction-diffusion equation on thin porous media

Abstract

We consider a reaction-diffusion equation on a 3D thin porous media of thickness ε which is perforated by periodically distributed cylinders of size ε. On the boundary of the cylinders we prescribe a dynamical boundary condition of pure-reactive type. As ε → 0, in the 2D limit the resulting reaction-diffusion equation has a source term coming from the dynamical-type boundary conditions imposed on boundaries of the original 3D domain.
Fichier principal
Vignette du fichier
Anguiano.pdf (356.48 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-02540887 , version 1 (12-04-2020)
hal-02540887 , version 2 (16-01-2024)

Identifiers

Cite

María Anguiano. Reaction-diffusion equation on thin porous media. Bulletin of the Malaysian Mathematical Sciences Society, 2021, 44, pp.3089-3110. ⟨10.1007/s40840-021-01103-0⟩. ⟨hal-02540887v2⟩

Collections

INSMI TDS-MACS
309 View
104 Download

Altmetric

Share

Gmail Facebook X LinkedIn More