A Hamiltonian perturbation theory for the nonlinear Vlasov equation

DOI10.1063/1.4947262zbMath1342.82138arXiv1602.02827OpenAlexW2252379323MaRDI QIDQ2804979

Stephen D. Webb

Publication date: 9 May 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.02827

Mathematics Subject Classification ID

Hamilton's equations (70H05) Nonlinear higher-order PDEs (35G20) Statistical mechanics of plasmas (82D10) Motion of charged particles (78A35) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09) Vlasov equations (35Q83)

Cites Work

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• Computation of nonlinear behavior of Hamiltonian systems using Lie algebraic methods
• Landau damping
• The Magnus expansion for classical Hamiltonian systems
• Lie series and invariant functions for analytic symplectic maps
• Explicit Magnus expansions for nonlinear equations
• On the exponential solution of differential equations for a linear operator

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