Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gradient estimates for Stokes and Navier-Stokes systems with piecewise
  DMO coefficients   We study stationary Stokes systems in divergence form with piecewise Dini
mean oscillation coefficients and data in a bounded domain containing a finite
number of subdomains with $C^{1,\rm{Dini}}$ boundaries. We prove that if $(u,
p)$ is a weak solution of the system, then $(Du, p)$ is bounded and piecewise
continuous. The corresponding results for stationary Navier-Stokes systems are
also established, from which the Lipschitz regularity of the stationary
$H^1$-weak solution in dimensions $d=2,3,4$ is obtained.

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The categories of this paper are: q-bio
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
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The categories of this paper are: nlin
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: eess