Well-posedness for an hyperbolic-hyperbolic-elliptic system describing cold plasmas
Analysis of PDEs
2023-09-14 v1 Mathematical Physics
math.MP
Abstract
In this short note, we provide the well-posedness for an hyperbolic-hyperbolic-elliptic system of PDEs describing the motion of collision free-plasma in magnetic fields. The proof combines a pointwise estimate together with a bootstrap type of argument for the elliptic part of the system.
Cite
@article{arxiv.2309.06767,
title = {Well-posedness for an hyperbolic-hyperbolic-elliptic system describing cold plasmas},
author = {Diego Alonso-Orán and Rafael Granero-Belinchón},
journal= {arXiv preprint arXiv:2309.06767},
year = {2023}
}