Long-time behavior of second order linearized Vlasov-Poisson equations near a homogeneous equilibrium

Abstract

The asymptotic behavior of the solutions of the second order linearized Vlasov-Poisson system around homogeneous equilibria is derived. It provides a fine description of some nonlinear and multidimensional phenomena such as the existence of Best frequencies. Numerical results for the 1D×1D and 2D × 2D Vlasov-Poisson system illustrate the effectiveness of this approach.

Comparison of high-order Eulerian methods for electron hybrid model

“…ℎ ) = (0, 0, 𝑓 (0) ℎ ) where 𝑓 (0) ℎ only depends on 𝑣 (see [30], [25]). Then, considering a linearization of the hybrid model around this state (𝑢 𝑐 , 𝐸, 𝑓 ℎ ) = (0, 0, 𝑓…”

“…Solution of dispersion relation for different values of 𝑇 𝑐 in kinetic case(30), and for hybrid case(27).…”