PulseExploreJournal ClubDebatesTrendingResearchersJournals
Instagram
HomeExploreJournal ClubTrending
Synapse
⌘+K
Synapse
January 27, 2026Journal of the London Mathematical Society1 citationsOpen Access

On the stability of vacuum in the screened Vlasov–Poisson equation

View Full Paper
MIMikaela IacobelliSRStefano RossiKWKlaus Widmayer

Key Points

  • The aim is to investigate the asymptotic behavior of small data solutions to the screened Vlasov–Poisson equation in near vacuum conditions.
  • Analyzed small data solutions to the screened Vlasov–Poisson equation.
  • Examined spatial localization and regularity using Sobolev derivatives.
  • Focused on asymptotic behavior in varying dimensions.
  • Solutions scatter freely for certain spatial moment conditions in higher dimensions.
  • Achieved long-time existence of solutions under analytic regularity in lower dimensions.

Abstract

Abstract We study the asymptotic behavior of small data solutions to the screened Vlasov–Poisson equation on near vacuum. We show that for dimensions , under mild assumptions on localization (in terms of spatial moments) and regularity (in terms of at most three Sobolev derivatives) solutions scatter freely. In dimension , we obtain a long‐time existence result in analytic regularity.

Ask AI
Helpful
Bookmark
Share
View Full Paper

Cite This Study

Iacobelli et al. (2026) studied this question.

synapsesocial.com/papers/697854bcccb046adae516ff1https://doi.org/10.1112/jlms.70426
Ask AI
Helpful
Bookmark
Share
View Full Paper