Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Measure-valued mass evolution problems with flux boundary conditions and
  solution-dependent velocities   In this paper we prove well-posedness for a measure-valued continuity
equation with solution-dependent velocity and flux boundary conditions, posed
on a bounded one-dimensional domain. We generalize the results of [Evers, Hille
and Muntean. Journal of Differential Equations, 259:1068-1097, 2015] to
settings where the dynamics are driven by interactions. In a forward-Euler-like
approach, we construct a time-discretized version of the original problem and
employ the results of [Evers, Hille and Muntean. Journal of Differential
Equations, 259:1068-1097, 2015] as a building block within each subinterval. A
limit solution is obtained as the mesh size of the time discretization goes to
zero. Moreover, the limit is independent of the specific way of partitioning
the time interval $[0,T]$. This paper is partially based on results presented
in Chapter 5 of [Evers. PhD thesis, Eindhoven University of Technology, 2015],
while a number of issues that were still open there, are now resolved.

13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci