Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: EDP-convergence for a linear reaction-diffusion system with fast
  reversible reaction   We perform a fast-reaction limit for a linear reaction-diffusion system
consisting of two diffusion equations coupled by a linear reaction. We
understand the linear reaction-diffusion system as a gradient flow of the free
energy in the space of probability measure equipped with a geometric structure,
which contains the Wasserstein metric for the diffusion part and cosh-type
functions for the reaction part. The fast-reaction limit is done on the level
of the gradient structure by proving EDP-convergence with tilting. The limit
gradient system induces a diffusion system with Lagrange multipliers on the
linear slow-manifold. Moreover, the limit gradient system can be equivalently
described by a coarse-grained gradient system, which induces a diffusion
equation with a mixed diffusion constant for the coarse-grained slow variable.

1
The categories of this paper are: cs
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn