Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Regularity Criteria for Navier-Stokes Equations with Slip Boundary
  Conditions on Non-flat Boundaries via Two Velocity Components   H.-O. Bae and H.J. Choe, in a 1997 paper, established a regularity criteria
for the incompressible Navier-Stokes equations in the whole space $\R^3$ based
on two velocity components. Recently, one of the present authors extended this
result to the half-space case $\R^3_+\,.$ Further, this author in collaboration
with J. Bemelmans and J. Brand extended the result to cylindrical domains under
physical slip boundary conditions. In this note we obtain a similar result in
the case of smooth arbitrary boundaries, but under a distinct, apparently very
similar, slip boundary condition. They coincide just on flat portions of the
boundary. Otherwise, a reciprocal reduction between the two results looks not
obvious, as shown in the last section below.

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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
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The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
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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: stat
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat