The Vlasov–Poisson–Boltzmann system for soft potentials

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

54 Scopus Citations
View graph of relations

Author(s)

Related Research Unit(s)

Detail(s)

Original languageEnglish
Pages (from-to)979-1028
Journal / PublicationMathematical Models and Methods in Applied Sciences
Volume23
Issue number6
Online published22 Oct 2012
Publication statusPublished - Jun 2013

Abstract

An important physical model describing the dynamics of dilute weakly ionized plasmas in the collisional kinetic theory is the Vlasov-Poisson- Boltzmann system for which the plasma responds strongly to the self-consistent electrostatic force. This paper is concerned with the electron dynamics of kinetic plasmas in the whole space when the positive charged ion flow provides a spatially uniform background. We establish the global existence and optimal convergence rates of solutions near a global Maxwellian to the Cauchy problem on the Vlasov-Poisson-Boltzmann system for angular cutoff soft potentials with -2 ≤ γ <0. The main idea is to introduce a time-dependent weight function in the velocity variable to capture the singularity of the cross-section at zero relative velocity. © 2013 World Scientific Publishing Company.

Research Area(s)

  • soft potentials, stability, Vlasov-Poisson-Boltzmann system

Citation Format(s)

The Vlasov–Poisson–Boltzmann system for soft potentials. / Duan, Renjun; Yang, Tong; Zhao, Huijiang.
In: Mathematical Models and Methods in Applied Sciences, Vol. 23, No. 6, 06.2013, p. 979-1028.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review