Nonlinear Instability of Vlasov--Maxwell Systems in the Classical and Quasineutral Limits
Nonlinear Instability of Vlasov--Maxwell Systems in the Classical and Quasineutral Limits
We study the instability of solutions to the relativistic Vlasov--Maxwell systems in two limiting regimes: the classical limit when the speed of light tends to infinity and the quasineutral limit when the Debye length tends to zero. First, in the classical limit, $\varepsilon \to 0$, with $\varepsilon$ being the inverse …