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


Dublin Core Export

<?xml version='1.0' encoding='utf-8'?>
<oai_dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
  <dc:creator>Addala, Lanoir</dc:creator>
  <dc:creator>Dolbeault, Jean</dc:creator>
  <dc:creator>Li, Xingyu</dc:creator>
  <dc:creator>Tayeb, M. Lazhar</dc:creator>
  <dc:date>2021-06-21</dc:date>
  <dc:description>This paper is devoted to the linearized Vlasov–Poisson–Fokker–Planck 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–Poisson–Fokker–Planck system without any small mass assumption.</dc:description>
  <dc:identifier>https://zenodo.org/record/5747811</dc:identifier>
  <dc:identifier>10.1007/s10955-021-02784-4</dc:identifier>
  <dc:identifier>oai:zenodo.org:5747811</dc:identifier>
  <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  <dc:source>Journal of Statistical Physics 184(1)</dc:source>
  <dc:title>$\text {L}^2$-Hypocoercivity and Large Time Asymptotics of the Linearized Vlasov–Poisson–Fokker–Planck System</dc:title>
  <dc:type>info:eu-repo/semantics/article</dc:type>
  <dc:type>publication-article</dc:type>
</oai_dc:dc>
20
15
views
downloads
Views 20
Downloads 15
Data volume 5.0 MB
Unique views 13
Unique downloads 15

Share

Cite as