Landau damping on the torus for the Vlasov-Poisson system with massless electrons
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2023-12-15
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Journal Article
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Abstract
This paper studies the nonlinear Landau damping on the torus Td for the Vlasov-Poisson system with massless electrons (VPME). We consider solutions with analytic or Gevrey (γ > 1/3) initial data, close to a homogeneous equilibrium satisfying a Penrose stability condition. We show that for such solutions, the corresponding density and force field decay exponentially fast as time goes to infinity. This work extends the results for Vlasov-Poisson on the torus to the case of ions and, more generally, to arbitrary analytic nonlinear couplings.
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376
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154 - 203
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Elsevier
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08842 - Iacobelli, Mikaela (ehem. Tit.-Prof.)
09808 - Iacobelli, Mikaela / Iacobelli, Mikaela
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Is new version of: 10.48550/arXiv.2209.04676