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We have for all p P r1, `8s, r P r1, 8q, s ě 0 so that δ ąs ´ tsu, }σpiBq∇f }Bsp,r À }f } δ 1` δ Lp }∇f } 1 1` δ Lp ` }∇1`tsuf }Lp À }f }W 1` tsu,p, (A

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2024 1

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Landau damping below survival threshold

math.AP · 2024-12-16 · conditional · novelty 8.0

Nonlinear plasma oscillations and Landau damping are established for the Vlasov-Klein-Gordon system near radial equilibria, with electric field decay of order t^{-3/2} below the survival threshold.

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  • Landau damping below survival threshold math.AP · 2024-12-16 · conditional · none · ref 3

    Nonlinear plasma oscillations and Landau damping are established for the Vlasov-Klein-Gordon system near radial equilibria, with electric field decay of order t^{-3/2} below the survival threshold.