Asymptotic stability of equilibria for screened Vlasov-Poisson systems via pointwise dispersive estimates

DOI10.1007/s40818-021-00110-5zbMath1492.35341arXiv1906.05723OpenAlexW3196018571WikidataQ114218700 ScholiaQ114218700MaRDI QIDQ2119800

Toan T. Nguyen, Daniel Han-Kwan, Frédéric Rousset

Publication date: 30 March 2022

Published in: Annals of PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.05723

zbMATH Keywords

nonlinear stabilitydispersive estimatesVlasov equationsspatially homogeneous steady states

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) Motion of charged particles (78A35) Vlasov equations (35Q83)

Related Items (11)

Linearized Wave-Damping Structure of Vlasov--Poisson in $\mathbb{R}^3$ ⋮ On the stability of homogeneous equilibria in the Vlasov–Poisson system on R3 ⋮ Scattering and Asymptotic Behavior of Solutions to the Vlasov–Poisson System in High Dimension ⋮ A rigorous derivation of the Hamiltonian structure for the Vlasov equation ⋮ Landau damping on the torus for the Vlasov-Poisson system with massless electrons ⋮ Scattering map for the Vlasov-Poisson system ⋮ Moment propagation of the plasma-charge model with a time-varying magnetic field ⋮ The Vlasov–Poisson–Landau system in the weakly collisional regime ⋮ On the linearized Vlasov-Poisson system on the whole space around stable homogeneous equilibria ⋮ Phase mixing for solutions to 1D transport equation in a confining potential ⋮ Asymptotic dynamics of dispersive, collisionless plasmas

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