Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mild solutions to a measure-valued mass evolution problem with flux
  boundary conditions   We investigate the well-posedness and approximation of mild solutions to a
class of linear transport equations on the unit interval $[0,1]$ endowed with a
linear discontinuous production term, formulated in the space
$\mathcal{M}([0,1])$ of finite Borel measures. Our working technique includes a
detailed boundary layer analysis in terms of a semigroup representation of
solutions in spaces of measures able to cope with the passage to the singular
limit where thickness of the layer vanishes. We obtain not only a suitable
concept of solutions to the chosen measure-valued evolution problem, but also
derive convergence rates for the approximation procedure and get insight in the
structure of flux boundary conditions for the limit problem.

7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
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