Existence of solutions and uniform bounds for the stationary semiconductor equations with generation and ionic carriers
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917112104091648 |
|---|---|
| author | Abdel, Dilara Blaustein, Alain Chainais-Hillairet, Claire Herda, Maxime Moatti, Julien |
| author_facet | Abdel, Dilara Blaustein, Alain Chainais-Hillairet, Claire Herda, Maxime Moatti, Julien |
| contents | We consider a stationary drift-diffusion system with ionic charge carriers and external generation of electron and hole charge carriers. This system arises, among other applications, in the context of semiconductor modeling for perovskite solar cells. Thanks to truncation techniques and iterative energy estimates, we show the existence and uniform upper and lower bounds on the solutions. The dependency of the bounds on the various parameters of the model is investigated numerically on physically relevant test cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_23250 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Existence of solutions and uniform bounds for the stationary semiconductor equations with generation and ionic carriers Abdel, Dilara Blaustein, Alain Chainais-Hillairet, Claire Herda, Maxime Moatti, Julien Analysis of PDEs 35J66, 78A35, 35Q81, 65N08 We consider a stationary drift-diffusion system with ionic charge carriers and external generation of electron and hole charge carriers. This system arises, among other applications, in the context of semiconductor modeling for perovskite solar cells. Thanks to truncation techniques and iterative energy estimates, we show the existence and uniform upper and lower bounds on the solutions. The dependency of the bounds on the various parameters of the model is investigated numerically on physically relevant test cases. |
| title | Existence of solutions and uniform bounds for the stationary semiconductor equations with generation and ionic carriers |
| topic | Analysis of PDEs 35J66, 78A35, 35Q81, 65N08 |
| url | https://arxiv.org/abs/2511.23250 |