Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Smoluchowski-Kramers approximation and large deviations for infinite
  dimensional gradient systems   In this paper, we explicitly calculate the quasi-potentials for the damped
semilinear stochastic wave equation when the system is of gradient type. We
show that in this case the infimum of the quasi-potential with respect to all
possible velocities does not depend on the density of the mass and does
coincide with the quasi-potential of the corresponding stochastic heat equation
that one obtains from the zero mass limit. This shows in particular that the
Smoluchowski-Kramers approximation can be used to approximate long time
behavior in the zero noise limit, such as exit time and exit place from a basin
of attraction.

16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn