Existence of solutions and uniform bounds for the stationary semiconductor equations with generation and ionic carriers
Analysis of PDEs
2025-12-01 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2511.23250,
title = {Existence of solutions and uniform bounds for the stationary semiconductor equations with generation and ionic carriers},
author = {Dilara Abdel and Alain Blaustein and Claire Chainais-Hillairet and Maxime Herda and Julien Moatti},
journal= {arXiv preprint arXiv:2511.23250},
year = {2025}
}