Linear Stability Analysis of the Relativistic Vlasov-Maxwell System in an Axisymmetric Domain
Analysis of PDEs
2019-10-15 v2 Mathematical Physics
math.MP
Abstract
We consider the plasma confined in a general axisymmetric spatial domain with perfect conducting boundary which reflects particles specularly, and look at a certain class of equilibria, assuming axisymmetry in the problem. We prove a sharp criterion of spectral stability under these settings. Moreover, we provide several explicit families of stable/unstable equilibria using this criterion.
Keywords
Cite
@article{arxiv.1808.02598,
title = {Linear Stability Analysis of the Relativistic Vlasov-Maxwell System in an Axisymmetric Domain},
author = {Katherine Zhiyuan Zhang},
journal= {arXiv preprint arXiv:1808.02598},
year = {2019}
}