Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global strong solutions of the Vlasov-Poisson-Boltzmann system in
  bounded domains   When dilute charged particles are confined in a bounded domain, boundary
effects are crucial in the global dynamics. We construct a unique
global-in-time solution to the Vlasov-Poisson-Boltzmann system in convex
domains with the diffuse boundary condition. The construction is based on an
$L^{2}$-$L^{\infty}$ framework with a novel \textit{nonlinear-normed energy
estimate} of a distribution function in weighted $W^{1,p}$-spaces and a
$C^{2,\delta}$-estimate of the self-consistent electric potential. Moreover we
prove an exponential convergence of the distribution function toward the global
Maxwellian.

23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th