Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Kinetic and Hydrodynamic Bohm Criterions for Plasma Sheath Formation   The purpose of this paper is to mathematically investigate the formation of a
plasma sheath, and to analyze the Bohm criterions which are required for the
formation. Bohm derived originally the (hydrodynamic) Bohm criterion from the
Euler-Poisson system. Boyd and Thompson proposed the (kinetic) Bohm criterion
from a kinetic point of view, and then Riemann derived it from the
Vlasov-Poisson system. In this paper, we prove the solvability of boundary
value problems of the Vlasov-Poisson system. On the process, we see that the
kinetic Bohm criterion is a necessary condition for the solvability. The
argument gives a simpler derivation of the criterion. Furthermore, the
hydrodynamic criterion can be derived from the kinetic criterion. It is of
great interest to find the relation between the solutions of the Vlasov-Poisson
and Euler-Poisson systems. To clarify the relation, we also study the delta
mass limit of solutions of the Vlasov-poisson system.

13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
16
The categories of this paper are: stat