Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thin film flow dynamics on fiber nets   We analyze existence and qualitative behavior of non-negative weak solutions
for fourth order degenerate parabolic equations on graph domains with
Kirchhoff's boundary conditions at the inner nodes and Neumann boundary
conditions at the boundary nodes. The problem is originated from industrial
constructions of spray coated meshes which are used in water collection and in
oil-water separation processes. For a certain range of parameter values we
prove convergence toward a constant steady state that corresponds to the
uniform distribution of coating on a fiber net.

23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
19
The categories of this paper are: eess
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
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