Linear instability of Vlasov-Maxwell systems revisited-A Hamiltonian approach
Analysis of PDEs
2021-07-28 v1 Plasma Physics
Abstract
We consider linear stability of steady states of 1(1/2) and 3D Vlasov-Maxwell systems for collisionless plasmas. The linearized systems can be written as separable Hamiltonian systems with constraints. By using a general theory for separable Hamiltonian systems, we recover the sharp linear stability criteria obtained previously by different approaches. Moreover, we obtain the exponential trichotomy estimates for the linearized Vlasov-Maxwell systems in both relativistic and nonrelativistic cases.
Keywords
Cite
@article{arxiv.2107.12441,
title = {Linear instability of Vlasov-Maxwell systems revisited-A Hamiltonian approach},
author = {Zhiwu Lin},
journal= {arXiv preprint arXiv:2107.12441},
year = {2021}
}