On the Existence of Exponentially Decreasing Solutions of the Nonlinear Landau Damping Problem

dc.creatorHwang, Hyung Ju
dc.creatorVelazquez, Juan J. L.
dc.date2008-10-20
dc.date2008-10-28
dc.date.accessioned2026-07-07T10:13:12Z
dc.date.available2026-07-07T10:13:12Z
dc.descriptionIn this paper we prove the existence of a large class of periodic solutions of the Vlasov-Poisson in one space dimension that decay exponentially as t goes to infinity. The exponential decay is well known for the linearized version of the Landau damping problem and it has been proved in [4] for a class of solutions of the Vlasov-Poisson system that behaves asymptotically as free streaming solutions and are sufficiently flat in the space of velocities. The results in this paper enlarge the class of possible asymptotic limits, replacing the fatness condition in [4] by a stability condition for the linearized problem.
dc.identifierhttps://arxiv.org/abs/0810.3456
dc.identifierhttp://arxiv.org/abs/0810.3456
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172447
dc.subjectAnalysis of PDEs
dc.titleOn the Existence of Exponentially Decreasing Solutions of the Nonlinear Landau Damping Problem
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