Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Partial Inertial Manifolds for infinite-dimensional dynamical systems:
  Example for P.D.E.s with a state-dependent delay   We propose a new notion of Partial Inertial Manifold to study the long-time
asymptotic behavior of dissipative differential equations. As shown on an
example, such manifolds may exist in the cases when the classical Inertial
manifold does not exist (or not known to exist).

13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int