Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Approximation of the random inertial manifold of singularly perturbed
  stochastic wave equations   By applying Rohlin's result on the classification of homomorphisms of
Lebesgue space, the random inertial manifold of a stochastic damped nonlinear
wave equations with singular perturbation is proved to be approximated almost
surely by that of a stochastic nonlinear heat equation which is driven by a new
Wiener process depending on the singular perturbation parameter. This
approximation can be seen as the Smolukowski--Kramers approximation as time
goes to infinity. However, as time goes infinity, the approximation changes
with the small parameter, which is different from the approximation on a finite
interval.

19
The categories of this paper are: eess
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics