Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: About the entropic structure of detailed balanced multi-species
  cross-diffusion equations   This paper links at the formal level the entropy structure of a multi-species
cross-diffusion system of Shigesada-Kawasaki-Teramoto (SKT) type satisfying the
detailed balance condition with the entropy structure of a reversible
microscopic many-particle Markov process on a discretised space. The link is
established by first performing a mean-field limit to a master equation over
discretised space. Then the spatial discretisation limit is performed in a
completely rigorous way. This by itself provides a novel strategy for proving
global existence of weak solutions to a class of cross-diffusion systems.

18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio