Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equivalence of finite dimensional input-output models of solute
  transport and diffusion in geosciences   We show that for a large class of finite dimensional input-output positive
systems that represent networks of transport and diffusion of solute in
geological media, there exist equivalent multi-rate mass transfer and multiple
interacting continua representations, which are quite popular in geo-sciences.
Moreover, we provide explicit methods to construct these equivalent
representations. The proofs show that controllability property is playing a
crucial role for obtaining equivalence. These results contribute to our
fundamental understanding on the effect of fine-scale geological structures on
the transfer and dispersion of solute, and, eventually, on their interaction
with soil microbes and minerals.

5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
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
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph