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 ℝx3×ℝv3 for localized disturbances of an infinite, homogeneous background. Unlike the confined case Tx3×ℝv3, 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 ℝx3 that reduces the strength of the plasma echo resonance.

Original languageEnglish (US)
JournalCommunications on Pure and Applied Mathematics
DOIs
StateAccepted/In press - Jan 1 2017

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Damping
Regularity
Vlasov equation
Vlasov Equation
Sobolev spaces
Coulomb Interaction
Coulomb interactions
Interaction
Sobolev Spaces
Plasma
Disturbance
Plasmas
Class
Background

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Landau Damping in Finite Regularity for Unconfined Systems with Screened Interactions. / Bedrossian, Jacob; Masmoudi, Nader; Mouhot, Clément.

In: Communications on Pure and Applied Mathematics, 01.01.2017.

Research output: Contribution to journalArticle

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