Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniform structural stability and uniqueness of Poiseuille flows in a two
  dimensional periodic strip   In this paper, we prove the uniform nonlinear structural stability of
Poiseuille flows with arbitrarily large flux for the Navier-Stokes system in a
two dimensional periodic strip when the period is not large. The key point is
to establish the a priori estimate for the associated linearized problem via
the careful analysis for the associated boundary layers. Furthermore, the
well-posedness theory for the Navier-Stokes system is also proved even when the
external force is large in $L^2$. Finally, if the vertical velocity is suitably
small where the smallness is independent of the flux, then Poiseuille flow is
the unique solution of the steady Navier-Stokes system in the periodic strip.

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The categories of this paper are: hep-th
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: q-fin