Landau Damping in Finite Regularity for Unconfined Systems with Screened Interactions

Jacob Bedrossian, Nader Masmoudi, Clément Mouhot

Research output: Contribution to journalArticle

Abstract

We prove Landau damping for the collisionless Vlasov equation with a class of L1 interaction potentials (including the physical case of screened Coulomb interactions) on (Formula presented.) for localized disturbances of an infinite, homogeneous background. Unlike the confined case (Formula presented.), results are obtained for initial data in Sobolev spaces (as well as Gevrey and analytic classes). For spatial frequencies bounded away from 0, the Landau damping of the density is similar to the confined case. The finite regularity is possible due to an additional dispersive mechanism available on (Formula presented.) that reduces the strength of the plasma echo resonance.

Original languageEnglish (US)
Pages (from-to)537-576
Number of pages40
JournalCommunications on Pure and Applied Mathematics
Volume71
Issue number3
DOIs
StatePublished - Mar 2018

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ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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