Please use this identifier to cite or link to this item:
http://hdl.handle.net/1942/29671
Title: | Multi-scale modeling of processes in porous media - Coupling reaction-diffusion processes in the solid and the fluid phase and on the separating interfaces | Authors: | GAHN, Markus | Issue Date: | 2019 | Publisher: | AMER INST MATHEMATICAL SCIENCES-AIMS | Source: | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 24(12), p. 6511-6531 | Abstract: | The aim of this paper is the derivation of general two-scale compactness results for coupled bulk-surface problems. Such results are needed for example for the homogenization of elliptic and parabolic equations with boundary conditions of second order in periodically perforated domains. We are dealing with Sobolev functions with more regular traces on the oscillating boundary, in the case when the norm of the traces and their surface gradients are of the same order. In this case, the two-scale convergence results for the traces and their gradients have a similar structure as for perforated domains, and we show the relation between the two-scale limits of the bulk-functions and their traces. Additionally, we apply our results to a reaction diffusion problem of elliptic type with a Wentzell-boundary condition in a multi-component domain. | Notes: | [Gahn, Markus] Hasselt Univ, Fac Sci, Campus Diepenbeek,Agoralaan Gebouw, B-3590 Diepenbeek, Belgium. | Keywords: | Homogenization; two-scale compactness results; coupled bulk-surface problems; multi-component media;omogenization; two-scale compactness results; coupled bulk-surface problems; multi-component media. | Document URI: | http://hdl.handle.net/1942/29671 | ISSN: | 1531-3492 | e-ISSN: | 1553-524X | DOI: | 10.3934/dcdsb.2019151 | ISI #: | 000484545100010 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2020 |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
1531-3492_2019_12_6511.pdf Restricted Access | Published version | 481.51 kB | Adobe PDF | View/Open Request a copy |
SCOPUSTM
Citations
1
checked on Sep 2, 2020
WEB OF SCIENCETM
Citations
3
checked on Sep 27, 2024
Page view(s)
74
checked on Sep 7, 2022
Download(s)
102
checked on Sep 7, 2022
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.