Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global Dynamics, Blow-Up, and Bianchi Cosmology   Many central problems in geometry, topology, and mathematical physics lead to
questions concerning the long-time dynamics of solutions to ordinary and
partial differential equations. Examples range from the Einstein field
equations of general relativity to quasilinear reaction-advection-diffusion
equations of parabolic type. Specific questions concern the convergence to
equilibria, the existence of periodic, homoclinic, and heteroclinic solutions,
and the existence and geometric structure of global attractors. On the other
hand, many solutions develop singularities in finite time. The singularities
have to be analyzed in detail before attempting to extend solutions beyond
their singularities, or to understand their geometry in conjunction with
globally bounded solutions. In this context we have also aimed at global
qualitative descriptions of blow-up and grow-up phenomena.

30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat