Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Controlling roughening processes in the stochastic Kuramoto-Sivashinsky
  equation   We present a novel control methodology to control the roughening processes of
semilinear parabolic stochastic partial differential equations in one
dimension, which we exemplify with the stochastic Kuramoto-Sivashinsky
equation. The original equation is split into a linear stochastic and a
nonlinear deterministic equation so that we can apply linear feedback control
methods. Our control strategy is then based on two steps: first, stabilize the
zero solution of the deterministic part and, second, control the roughness of
the stochastic linear equation. We consider both periodic controls and point
actuated ones, observing in all cases that the second moment of the solution
evolves in time according to a power-law until it saturates at the desired
controlled value.

7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
2
The categories of this paper are: math
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs