Symmetry Reduction and Periodic Solutions in Hamiltonian Vlasov Systems

DOI10.1137/19M1241283zbMath1437.35662arXiv1901.09571MaRDI QIDQ5107193

Robert Axel Neiss

Publication date: 17 April 2020

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.09571

zbMATH Keywords

Hamiltonian PDEsymmetry reductionVlasovperiodic bifurcation

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Bifurcations in context of PDEs (35B32) Vlasov equations (35Q83) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06)

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Cites Work

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• A mean field limit for the Hamiltonian Vlasov system
• Quantum mechanics (QM I). An introduction
• Boundary value problem for theN-dimensional time periodic Vlasov–Poisson system

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