Item request has been placed! ×
Item request cannot be made. ×
loading  Processing Request

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

Item request has been placed! ×
Item request cannot be made. ×
loading   Processing Request
  • معلومة اضافية
    • الموضوع:
      2024
    • Collection:
      Mathematics
      Mathematical Physics
    • نبذة مختصرة :
      We study the asymptotic behavior of small data solutions to the screened Vlasov-Poisson equation on $\mathbb{R}^d\times\mathbb{R}^d$ near vacuum. We show that for dimensions $d\geq 2$, 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 $d=1$, we obtain a long time existence result in analytic regularity.
      Comment: 30 pages
    • الرقم المعرف:
      edsarx.2410.17978