The relaxation limit of bipolar fluid models
Analysis of PDEs
2024-04-16 v2
Abstract
This work establishes the relaxation limit from the bipolar Euler-Poisson system to the bipolar drift-diffusion system, for data so that the latter has a smooth solution. A relative energy identity is developed for the bipolar fluid system and is used to show that a dissipative weak solution of the bipolar Euler-Poisson system converges in the high-friction regime to a strong and bounded away from vacuum solution of the bipolar drift-diffusion system.
Keywords
Cite
@article{arxiv.2012.14203,
title = {The relaxation limit of bipolar fluid models},
author = {Nuno J. Alves and Athanasios E. Tzavaras},
journal= {arXiv preprint arXiv:2012.14203},
year = {2024}
}