Status: Bibliographieeintrag
Standort: ---
Exemplare:
---
| |  Online-Ressource |
|---|
| Verfasst von: | Gahn, Markus [VerfasserIn]  |
|---|
| | Neuss-Radu, Maria [VerfasserIn] |
|---|
| | Pop, Iuliu Sorin [VerfasserIn] |
|---|
| Titel: | Homogenization of a reaction-diffusion-advection problem in an evolving micro-domain and including nonlinear boundary conditions |
|---|
| Verf.angabe: | M. Gahn, M. Neuss-Radu, I.S. Pop |
|---|
| E-Jahr: | 2021 |
|---|
| Jahr: | 23 April 2021 |
|---|
| Umfang: | 33 S. |
|---|
| Teil: | volume:289 |
|---|
| | year:2021 |
|---|
| | pages:95-127 |
|---|
| | extent:33 |
|---|
| Fussnoten: | Gesehen am 01.07.2021 |
|---|
| Titel Quelle: | Enthalten in: Journal of differential equations |
|---|
| Ort Quelle: | Orlando, Fla. : Elsevier, 1965 |
|---|
| Jahr Quelle: | 2021 |
|---|
| Band/Heft Quelle: | 289(2021), Seite 95-127 |
|---|
| ISSN Quelle: | 1090-2732 |
|---|
| Abstract: | We consider a reaction-diffusion-advection problem in a perforated medium, with nonlinear reactions in the bulk and at the microscopic boundary, and slow diffusion scaling. The microstructure changes in time; the microstructural evolution is known a priori. The aim of the paper is the rigorous derivation of a homogenized model. We use appropriately scaled function spaces, which allow us to show compactness results, especially regarding the time-derivative and we prove strong two-scale compactness results of Kolmogorov-Simon-type, which allow to pass to the limit in the nonlinear terms. The derived macroscopic model depends on the micro- and the macro-variable, and the evolution of the underlying microstructure is approximated by time- and space-dependent reference elements. |
|---|
| DOI: | doi:10.1016/j.jde.2021.04.013 |
|---|
| URL: | Bitte beachten Sie: Dies ist ein Bibliographieeintrag. Ein Volltextzugriff für Mitglieder der Universität besteht hier nur, falls für die entsprechende Zeitschrift/den entsprechenden Sammelband ein Abonnement besteht oder es sich um einen OpenAccess-Titel handelt.
Volltext ; Verlag: https://doi.org/10.1016/j.jde.2021.04.013 |
|---|
| | Volltext: https://www.sciencedirect.com/science/article/pii/S0022039621002436 |
|---|
| | DOI: https://doi.org/10.1016/j.jde.2021.04.013 |
|---|
| Datenträger: | Online-Ressource |
|---|
| Sprache: | eng |
|---|
| Sach-SW: | Evolving micro-domain |
|---|
| | Homogenization |
|---|
| | Nonlinear boundary condition |
|---|
| | Reaction-diffusion-advection equation |
|---|
| | Strong two-scale convergence |
|---|
| | Unfolding operator |
|---|
| K10plus-PPN: | 1761737953 |
|---|
| Verknüpfungen: | → Zeitschrift |
|---|
Homogenization of a reaction-diffusion-advection problem in an evolving micro-domain and including nonlinear boundary conditions / Gahn, Markus [VerfasserIn]; 23 April 2021 (Online-Ressource)
68754778
