Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Corrector equations in fluid mechanics: Effective viscosity of colloidal
  suspensions   Consider a colloidal suspension of rigid particles in a steady Stokes flow.
In a celebrated work, Einstein argued that in the regime of dilute particles
the system behaves at leading order like a Stokes fluid with some explicit
effective viscosity. In the present contribution, we rigorously define a notion
of effective viscosity, regardless of the dilute regime assumption. More
precisely, we establish a homogenization result when particles are distributed
according to a given stationary and ergodic random point process. The main
novelty is the introduction and analysis of suitable corrector equations.

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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: astro-ph
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The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: cs
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The categories of this paper are: eess