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

Journal of the London Mathematical Society 2026 Open access

Read full text
Authors: Mikaela Iacobelli, Stefano Rossi, Klaus Widmayer
DOI: 10.1112/jlms.70426
Cited by: 1
References: 36

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.

Fields of Study & Subjects

Gas Dynamics and Kinetic Theory Navier-Stokes equation solutions Mathematical Biology Tumor Growth

Publication details

Journal / source
Journal of the London Mathematical Society
Publisher
Wiley
Volume
113
Issue
1
Publication date
1 January 2026
Language
EN