Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strong Lagrangian solutions of the (relativistic) Vlasov-Poisson system
  for non-smooth, spherically symmetric data   We prove a local existence and uniqueness result for the non-relativistic and
relativistic Vlasov-Poisson system for data which need not even be continuous.
The corresponding solutions preserve all the standard conserved quantities and
are constant along their pointwise defined characteristic flow so that these
solutions are suitable for the stability analysis of not necessarily smooth
steady states. They satisfy the well-known continuation criterion and are
global in the non-relativistic case. The only unwanted requirement on the data
is that they be spherically symmetric.

12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio