Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fast reaction limit with nonmonotone reaction function   We analyse fast reaction limit in the reaction-diffusion system with
nonmonotone reaction function and one non-diffusing component. As speed of
reaction tends to infinity, the concentration of non-diffusing component
exhibits fast oscillations. We identify precisely its Young measure which, as a
by-product, proves strong convergence of the diffusing component, a result that
is not obvious from a priori estimates. Our work is based on analysis of
regularization for forward-backward parabolic equations by Plotnikov. We
rewrite his ideas in terms of kinetic functions which clarifies the method,
brings new insights, relaxes assumptions on model functions and provides a weak
formulation for the evolution of the Young measure.

16
The categories of this paper are: stat
1
The categories of this paper are: cs
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph