Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Renormalization Group Analysis of Nonlinear Diffusion Equations With
  Time Dependent Coefficients: Analytical Results   We study the long-time asymptotics of a certain class of nonlinear diffusion
equations with time-dependent diffusion coefficients which arise, for instance,
in the study of transport by randomly fluctuating velocity fields. Our primary
goal is to understand the interplay between anomalous diffusion and
nonlinearity in determining the long-time behavior of solutions. The analysis
employs the renormalization group method to establish the self-similarity and
to uncover universality in the way solutions decay to zero.

23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci