Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Estimates for Solutions of a Low-Viscosity Kick-Forced Generalised
  Burgers Equation   We consider a non-homogeneous generalised Burgers equation: $$ \frac{\partial
u}{\partial t} + f'(u)\frac{\partial u}{\partial x} - \nu \frac{\partial^2
u}{\partial x^2} = \eta^{\omega},\quad t \in \R,\ x \in S^1. $$ Here, \nu is
small and positive, f is strongly convex and satisfies a growth assumption,
while \eta^{\omega} is a space-smooth random "kicked" forcing term. For any
solution $u$ of this equation, we consider the quasi-stationary regime,
corresponding to t>=2. After taking the ensemble average, we obtain upper
estimates as well as time-averaged lower estimates for a class of Sobolev norms
of $u$. These estimates are of the form C \nu^{-\beta} with the same values of
$\beta$ for bounds from above and from below. They depend on \eta and f, but do
not depend on the time t or the initial condition.

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The categories of this paper are: funct-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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The categories of this paper are: patt-sol