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• W1984436907 abstract "We present new Lyapunov functionals and $L^1$-stability for the Vlasov--Poisson system with a self-consistent electrostatic force in a small initial data case. Lyapunov functionals measure possible future crossings of projected particle trajectories in the physical space, and they are nonincreasing along smooth solutions when the initial datum is smooth and decays fast enough at infinity in the phase space. For sufficiently large physical dimensions, we also show that smooth solutions are uniformly $L^1$-stable." @default.
• W1984436907 created "2016-06-24" @default.
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• W1984436907 date "2006-01-01" @default.
• W1984436907 modified "2023-10-05" @default.
• W1984436907 title "New Lyapunov Functionals of the Vlasov--Poisson System" @default.
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• W1984436907 doi "https://doi.org/10.1137/040621338" @default.
• W1984436907 hasPublicationYear "2006" @default.
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