Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Vlasov-Poisson-Boltzmann system without angular cutoff   This paper is concerned with the Vlasov-Poisson-Boltzmann system for plasma
particles of two species in three space dimensions. The Boltzmann collision
kernel is assumed to be angular non-cutoff with $-3<\gamma<-2s$ and $1/2\leq
s<1$, where $\gamma$, $s$ are two parameters describing the kinetic and angular
singularities, respectively. We establish the global existence and convergence
rates of classical solutions to the Cauchy problem when initial data is near
Maxwellians. This extends the results in \cite{DYZ-h, DYZ-s} for the cutoff
kernel with $-2\leq \gamma\leq 1$ to the case $-3<\gamma<-2$ as long as the
angular singularity exists instead and is strong enough, i.e., $s$ is close to
1. The proof is based on the time-weighted energy method building also upon the
recent studies of the non cutoff Boltzmann equation in \cite{GR} and the
Vlasov-Poisson-Landau system in \cite{Guo5}.

15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol