Nonlinear instability of periodic BGK waves for Vlasov-Poisson system

DOI10.1002/cpa.20028zbMath1067.35012OpenAlexW2049260879MaRDI QIDQ4676580

Zhiwu Lin

Publication date: 4 May 2005

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.20028

zbMATH Keywords

Bernstein-Greene-Kruskalexponentially growing mode

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Stability in context of PDEs (35B35)

Related Items (7)

From Vlasov-Poisson to Korteweg-de Vries and Zakharov-Kuznetsov ⋮ Small BGK waves and nonlinear Landau damping ⋮ A new variational approach to the stability of gravitational systems ⋮ A sharp stability criterion for the Vlasov-Maxwell system ⋮ The existence of stable BGK waves ⋮ Nonlinear instability of inhomogeneous steady states solutions to the HMF model ⋮ Instability, index theorem, and exponential trichotomy for Linear Hamiltonian PDEs

Cites Work

• Instability of periodic BGK waves

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