Long-time behavior of second order linearized Vlasov-Poisson equations near a homogeneous equilibrium
Numerical Analysis
2019-10-01 v3 Numerical Analysis
Analysis of PDEs
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 1Dx1D and 2Dx2D Vlasov-Poisson system illustrate the effectiveness of this approach.
Keywords
Cite
@article{arxiv.1903.08374,
title = {Long-time behavior of second order linearized Vlasov-Poisson equations near a homogeneous equilibrium},
author = {Joackim Bernier and Michel Mehrenberger},
journal= {arXiv preprint arXiv:1903.08374},
year = {2019}
}