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Long-time behavior of second order linearized Vlasov-Poisson equations near a homogeneous equilibrium (1903.08374v3)

Published 20 Mar 2019 in math.NA, cs.NA, and math.AP

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.

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