Well-posedness for an hyperbolic-hyperbolic-elliptic system describing cold plasmas
arXiv:2309.06767
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.