Linear instability of Vlasov-Maxwell systems revisited -- a Hamiltonian approach

DOI10.3934/krm.2021048zbMath1491.35414arXiv2107.12441OpenAlexW3184422259WikidataQ114022562 ScholiaQ114022562MaRDI QIDQ2158864

Zhiwu Lin

Publication date: 26 July 2022

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.12441

zbMATH Keywords

instabilityexponential trichotomyseparable Hamiltonian systemsVlasov-Maxwellcollisionless plasmas

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Vlasov equations (35Q83)

Cites Work

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• Instabilities in Kinetic Theory and Their Relationship to the Ergodic Theorem
• Linear stability and instability of relativistic Vlasov-Maxwell systems
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• Instabilities of the Relativistic Vlasov--Maxwell System on Unbounded Domains
• Linear Stability Analysis of the Relativistic Vlasov--Maxwell System in an Axisymmetric Domain
• Instability, index theorem, and exponential trichotomy for Linear Hamiltonian PDEs
• Instability of periodic BGK waves

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