Journal article Open Access

$\text {L}^2$-Hypocoercivity and Large Time Asymptotics of the Linearized Vlasov–Poisson–Fokker–Planck System

Addala, Lanoir; Dolbeault, Jean; Li, Xingyu; Tayeb, M. Lazhar


JSON-LD (schema.org) Export

{
  "description": "This paper is devoted to the linearized Vlasov\u2013Poisson\u2013Fokker\u2013Planck system in presence of an external potential of confinement. We investigate the large time behaviour of the solutions using hypocoercivity methods and a notion of scalar product adapted to the presence of a Poisson coupling. Our framework provides estimates which are uniform in the diffusion limit. As an application in a simple case, we study the one-dimensional case and prove the exponential convergence of the nonlinear Vlasov\u2013Poisson\u2013Fokker\u2013Planck system without any small mass assumption.", 
  "license": "", 
  "creator": [
    {
      "@type": "Person", 
      "name": "Addala, Lanoir"
    }, 
    {
      "@id": "https://orcid.org/0000-0003-4234-2298", 
      "@type": "Person", 
      "name": "Dolbeault, Jean"
    }, 
    {
      "@type": "Person", 
      "name": "Li, Xingyu"
    }, 
    {
      "@type": "Person", 
      "name": "Tayeb, M. Lazhar"
    }
  ], 
  "headline": "$\\text {L}^2$-Hypocoercivity and Large Time Asymptotics of the Linearized Vlasov\u2013Poisson\u2013Fokker\u2013Planck System", 
  "image": "https://zenodo.org/static/img/logos/zenodo-gradient-round.svg", 
  "datePublished": "2021-06-21", 
  "url": "https://zenodo.org/record/5747811", 
  "@context": "https://schema.org/", 
  "identifier": "https://doi.org/10.1007/s10955-021-02784-4", 
  "@id": "https://doi.org/10.1007/s10955-021-02784-4", 
  "@type": "ScholarlyArticle", 
  "name": "$\\text {L}^2$-Hypocoercivity and Large Time Asymptotics of the Linearized Vlasov\u2013Poisson\u2013Fokker\u2013Planck System"
}
20
15
views
downloads
Views 20
Downloads 15
Data volume 5.0 MB
Unique views 13
Unique downloads 15

Share

Cite as