Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Instanton solutions in the problem of wrinkled flame front dynamics   The statistics of wrinkling flame front is invetigated by the quantum filed
theory methods. We dwell on the WKB approximation in the functional integral
which is analogous to the Wyld functional integral in turbulence. The main
contribution to statistics is due to a coupled field-force configuration. This
configuration is related to a kink between metastable exact pole solutions of
the Syvashinsky equation. These kinks are responsible for both the formation of
new cusps and the rapid power-law acceleration of the mean flame-front. The
problem of asymptotic stability of the solutions is discussed.

35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
2
The categories of this paper are: math
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin