The Vlasov-Poisson-Boltzmann System for Soft Potentials

Details The Vlasov-Poisson-Boltzmann System for Soft Potentials The Vlasov-Poisson-Boltzmann System for Soft Potentials

2011-12-07

arxiv.org/abs/1112.1453v2

Mathematics

Analysis of PDEs

46 pages; Step 3 in the proof of Theorem 3.1 was modified

Scientific paper

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 $-2\leq \gamma<0$. 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.

Affiliated with

Also associated with

No associations

Rating

The Vlasov-Poisson-Boltzmann System for Soft Potentials does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Vlasov-Poisson-Boltzmann System for Soft Potentials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Vlasov-Poisson-Boltzmann System for Soft Potentials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-593948