Homogenization of a nonlinear drift-diffusion system for multiple charged species in a porous medium
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 non...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article (Journal) |
| Language: | English |
| Published: |
15 June 2022
|
| In: |
Nonlinear analysis. Real world applications
Year: 2022, Volume: 68, Pages: 1-28 |
| DOI: | 10.1016/j.nonrwa.2022.103651 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1016/j.nonrwa.2022.103651 Verlag, lizenzpflichtig, Volltext: https://www.sciencedirect.com/science/article/pii/S1468121822000797 
|
| Author Notes: | Apratim Bhattacharya, Markus Gahn, Maria Neuss-Radu |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 1811812805 | ||
| 003 | DE-627 | ||
| 005 | 20220820232904.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 220727s2022 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.1016/j.nonrwa.2022.103651 |2 doi | |
| 035 | |a (DE-627)1811812805 | ||
| 035 | |a (DE-599)KXP1811812805 | ||
| 035 | |a (OCoLC)1341464561 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 27 |2 sdnb | ||
| 100 | 1 | |a Bhattacharya, Apratim |e VerfasserIn |0 (DE-588)1263698808 |0 (DE-627)1811813356 |4 aut | |
| 245 | 1 | 0 | |a Homogenization of a nonlinear drift-diffusion system for multiple charged species in a porous medium |c Apratim Bhattacharya, Markus Gahn, Maria Neuss-Radu |
| 264 | 1 | |c 15 June 2022 | |
| 300 | |a 28 | ||
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a Computermedien |b c |2 rdamedia | ||
| 338 | |a Online-Ressource |b cr |2 rdacarrier | ||
| 500 | |a Gesehen am 27.07.2022 | ||
| 520 | |a 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. | ||
| 650 | 4 | |a Drift-diffusion model | |
| 650 | 4 | |a Homogenization | |
| 650 | 4 | |a Multiple charged species | |
| 650 | 4 | |a Nonlinear diffusion | |
| 650 | 4 | |a Porous media | |
| 650 | 4 | |a Two-scale convergence | |
| 700 | 1 | |a Gahn, Markus |e VerfasserIn |0 (DE-588)112652302X |0 (DE-627)880999675 |0 (DE-576)484545841 |4 aut | |
| 700 | 1 | |a Neuss-Radu, Maria |e VerfasserIn |0 (DE-588)1074040643 |0 (DE-627)83020654X |0 (DE-576)181731703 |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Nonlinear analysis. Real world applications |d Amsterdam [u.a.] : Elsevier Science, 2000 |g 68(2022), Artikel-ID 103651, Seite 1-28 |h Online-Ressource |w (DE-627)336799039 |w (DE-600)2061967-4 |w (DE-576)099718286 |7 nnas |a Homogenization of a nonlinear drift-diffusion system for multiple charged species in a porous medium |
| 773 | 1 | 8 | |g volume:68 |g year:2022 |g elocationid:103651 |g pages:1-28 |g extent:28 |a Homogenization of a nonlinear drift-diffusion system for multiple charged species in a porous medium |
| 856 | 4 | 0 | |u https://doi.org/10.1016/j.nonrwa.2022.103651 |x Verlag |x Resolving-System |z lizenzpflichtig |3 Volltext |
| 856 | 4 | 0 | |u https://www.sciencedirect.com/science/article/pii/S1468121822000797 |x Verlag |z lizenzpflichtig |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20220727 | ||
| 993 | |a Article | ||
| 994 | |a 2022 | ||
| 998 | |g 112652302X |a Gahn, Markus |m 112652302X:Gahn, Markus |d 700000 |d 708000 |e 700000PG112652302X |e 708000PG112652302X |k 0/700000/ |k 1/700000/708000/ |p 2 | ||
| 999 | |a KXP-PPN1811812805 |e 4173140908 | ||
| BIB | |a Y | ||
| SER | |a journal | ||
| JSO | |a {"recId":"1811812805","name":{"displayForm":["Apratim Bhattacharya, Markus Gahn, Maria Neuss-Radu"]},"origin":[{"dateIssuedDisp":"15 June 2022","dateIssuedKey":"2022"}],"person":[{"role":"aut","given":"Apratim","display":"Bhattacharya, Apratim","family":"Bhattacharya"},{"family":"Gahn","given":"Markus","display":"Gahn, Markus","role":"aut"},{"role":"aut","family":"Neuss-Radu","display":"Neuss-Radu, Maria","given":"Maria"}],"language":["eng"],"title":[{"title_sort":"Homogenization of a nonlinear drift-diffusion system for multiple charged species in a porous medium","title":"Homogenization of a nonlinear drift-diffusion system for multiple charged species in a porous medium"}],"type":{"media":"Online-Ressource","bibl":"article-journal"},"id":{"eki":["1811812805"],"doi":["10.1016/j.nonrwa.2022.103651"]},"physDesc":[{"extent":"28 S."}],"relHost":[{"type":{"media":"Online-Ressource","bibl":"periodical"},"pubHistory":["1.2000 - 14.2013; Vol. 15.2014 -"],"disp":"Homogenization of a nonlinear drift-diffusion system for multiple charged species in a porous mediumNonlinear analysis. Real world applications","recId":"336799039","language":["eng"],"titleAlt":[{"title":"Nonlinear analysis / Real world applications"}],"physDesc":[{"extent":"Online-Ressource"}],"part":{"pages":"1-28","extent":"28","year":"2022","text":"68(2022), Artikel-ID 103651, Seite 1-28","volume":"68"},"id":{"zdb":["2061967-4"],"eki":["336799039"]},"note":["Gesehen am 24.05.23"],"origin":[{"publisherPlace":"Amsterdam [u.a.]","dateIssuedKey":"2000","dateIssuedDisp":"2000-","publisher":"Elsevier Science"}],"title":[{"title":"Nonlinear analysis","title_sort":"Nonlinear analysis","partname":"Real world applications"}]}],"note":["Gesehen am 27.07.2022"]} | ||
| SRT | |a BHATTACHARHOMOGENIZA1520 | ||