Solvability for a drift-diffusion system with Robin boundary conditions
Analysis of PDEs
2018-10-02 v1
Abstract
This paper focuses on a drift-diffusion system subjected to boundedly non dissipative Robin boundary conditions. A general existence result with large initial conditions is established by using suitable L1, L2 and trace estimates. Finally, two examples coming from the corrosion and the self-gravitation model are analyzed.
Cite
@article{arxiv.1810.00851,
title = {Solvability for a drift-diffusion system with Robin boundary conditions},
author = {Arnaud Heibig and Adrien Petrov and Christian Reichert},
journal= {arXiv preprint arXiv:1810.00851},
year = {2018}
}