Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Long-time limit for a class of quadratic infinite-dimensional dynamical
  systems inspired by models of viscoelastic fluids   We study a class of quadratic, infinite-dimensional dynamical systems,
inspired by models for viscoelastic fluids. We prove that these equations
define a semi-flow on the cone of positive, essentially bounded functions. As
time tends to infinity, the solutions tend to an equilibrium manifold in the
$L^2$-norm. Convergence to a particular function on the equilibrium manifold is
only proved under additional assumptions. We discuss several possible
generalizations.

37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc