Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Diffusion in networks with time-dependent transmission conditions   We study diffusion in a network which is governed by non-autonomous Kirchhoff
conditions at the vertices of the graph. Also the diffusion coefficients may
depend on time. We prove at first a result on existence and uniqueness using
form methods. Our main results concern the long-term behavior of the solution.
In the case when the conductivity and the diffusion coefficients match (so that
mass is conserved) we show that the solution converges exponentially fast to an
equilibrium. We also show convergence to a special solution in some other
cases.

22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat