Status: Bibliographieeintrag
Standort: ---
Exemplare:
---
| |  Online-Ressource |
|---|
| Verfasst von: | Bhattacharya, Apratim [VerfasserIn]  |
|---|
| | Gahn, Markus [VerfasserIn] |
|---|
| | Neuss-Radu, Maria [VerfasserIn] |
|---|
| Titel: | Homogenization of a nonlinear drift-diffusion system for multiple charged species in a porous medium |
|---|
| Verf.angabe: | Apratim Bhattacharya, Markus Gahn, Maria Neuss-Radu |
|---|
| E-Jahr: | 2022 |
|---|
| Jahr: | 15 June 2022 |
|---|
| Umfang: | 28 S. |
|---|
| Fussnoten: | Gesehen am 27.07.2022 |
|---|
| Titel Quelle: | Enthalten in: Nonlinear analysis / Real world applications |
|---|
| Ort Quelle: | Amsterdam [u.a.] : Elsevier Science, 2000 |
|---|
| Jahr Quelle: | 2022 |
|---|
| Band/Heft Quelle: | 68(2022), Artikel-ID 103651, Seite 1-28 |
|---|
| Abstract: | We consider a nonlinear drift-diffusion system for multiple charged species in a porous medium in 2D and 3D with periodic microstructure. The system consists of a transport equation for the concentration of the species and Poisson’s equation for the electric potential. The diffusion terms depend nonlinearly on the concentrations. We consider non-homogeneous Neumann boundary condition for the electric potential. The aim is the rigorous derivation of an effective (homogenized) model in the limit when the scale parameter ε tends to zero. This is based on uniform a priori estimates for the solutions of the microscopic model. The crucial result is the uniform L∞-estimate for the concentration in space and time. This result exploits the fact that the system admits a nonnegative energy functional which decreases in time along the solutions of the system. By using weak and strong (two-scale) convergence properties of the microscopic solutions, effective models are derived in the limit ε→0 for different scalings of the microscopic model. |
|---|
| DOI: | doi:10.1016/j.nonrwa.2022.103651 |
|---|
| 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.nonrwa.2022.103651 |
|---|
| | Volltext: https://www.sciencedirect.com/science/article/pii/S1468121822000797 |
|---|
| | DOI: https://doi.org/10.1016/j.nonrwa.2022.103651 |
|---|
| Datenträger: | Online-Ressource |
|---|
| Sprache: | eng |
|---|
| Sach-SW: | Drift-diffusion model |
|---|
| | Homogenization |
|---|
| | Multiple charged species |
|---|
| | Nonlinear diffusion |
|---|
| | Porous media |
|---|
| | Two-scale convergence |
|---|
| K10plus-PPN: | 1811812805 |
|---|
| Verknüpfungen: | → Zeitschrift |
|---|
Homogenization of a nonlinear drift-diffusion system for multiple charged species in a porous medium / Bhattacharya, Apratim [VerfasserIn]; 15 June 2022 (Online-Ressource)
68947361
