On the linearized Vlasov-Poisson system on the whole space around stable homogeneous equilibria

Abstract

We study the linearized Vlasov-Poisson system around suitably stable homogeneous equilibria on ${\mathbb{R}}^d\times {\mathbb{R}}^d$ (for any $d\ge 1$) and establish dispersive $L^{\infty }$ decay estimates in the physical space.

References in corpus (5)

• On Landau damping
• Landau damping in Sobolev spaces for the Vlasov-HMF model
• Asymptotic stability of equilibria for screened Vlasov-Poisson systems via pointwise dispersive estimates
• Landau damping to partially locked states in the Kuramoto model
• Derivative estimates for screened Vlasov-Poisson system around Penrose-stable equilibria

Cited by in corpus (3)

• On Linear Damping Around Inhomogeneous Stationary States of the Vlasov-HMF Model
• Damping versus oscillations for a gravitational Vlasov-Poisson system
• A fast point charge interacting with the screened Vlasov-Poisson system