Instability of periodic BGK waves

DOI10.4310/MRL.2001.v8.n4.a11zbMath0993.35084OpenAlexW2059448088MaRDI QIDQ5953006

Zhiwu Lin

Publication date: 19 September 2002

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/mrl.2001.v8.n4.a11

zbMATH Keywords

one-dimensional electron plasmaVlasov-Poisson system

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Nonlinear first-order PDEs (35F20) Perturbations in context of PDEs (35B20) Statistical mechanics of plasmas (82D10) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items (14)

Dynamics of vorticity defects in stratified shear flow ⋮ Linear instability of Vlasov-Maxwell systems revisited -- a Hamiltonian approach ⋮ From Vlasov-Poisson to Korteweg-de Vries and Zakharov-Kuznetsov ⋮ Linear stability analysis of a hot plasma in a solid torus ⋮ Small BGK waves and nonlinear Landau damping ⋮ Unstable and stable galaxy models ⋮ A sharp stability criterion for the Vlasov-Maxwell system ⋮ Instability of nonlinear dispersive solitary waves ⋮ Eigenvalues of the linearized 2D Euler equations via Birman-Schwinger and Lin's operators ⋮ The existence of stable BGK waves ⋮ Nonlinear instability of periodic BGK waves for Vlasov-Poisson system ⋮ Nonlinear instability of inhomogeneous steady states solutions to the HMF model ⋮ Instability of nonsymmetric nonmonotone equilibria of the Vlasov-Maxwell system ⋮ Linear stability and instability of relativistic Vlasov-Maxwell systems

This page was built for publication: Instability of periodic BGK waves