Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the existence of an exponential attractor for a planar shear flow
  with Tresca's friction condition   We consider a two-dimensional nonstationary Navier-Stokes shear flow with a
subdifferential boundary condition on a part of the boundary of the flow
domain, namely, with a boundary driving subject to the Tresca law. There exists
a unique global in time solution of the considered problem which is governed by
a variational inequality. Our aim is to prove the existence of a global
attractor of a finite fractional dimension and of an exponential attractor for
the associated semigroup. We use the method of $l$-trajectories. This research
is motivated by a problem from lubrication theory.

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The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
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The categories of this paper are: econ
13
The categories of this paper are: quant-ph