Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solvability of the two-dimensional stationary incompressible
  inhomogeneous Navier-Stokes equations with variable viscosity coefficient   We show the existence and the regularity properties of the weak solutions to
the two-dimensional stationary incompressible inhomogeneous Navier-Stokes
equations with variable viscosity coefficient, by analyzing a fourth-order
nonlinear elliptic equation for the stream function. The density function and
the viscosity coefficient may have large variations. In addition, we formulate
the solutions for the parallel, concentric and radial flows respectively, and
as examples we calculate the solutions with piecewise-constant viscosity
coefficients explicitly.

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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: eess
0
The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
9
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: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-ex