Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ergodicity of the 2D Navier-Stokes Equations with Degenerate
  Multiplicative Noise   Consider the two-dimensional, incompressible Navier-Stokes equations on the
torus We prove that the semigroup P_t generated by the solutions to stochastic
Navier-stokes equations is asymptotically strong Feller. Moreover, we also
prove that semigroup P_t is exponentially ergodic in some sense

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The categories of this paper are: hep-th
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The categories of this paper are: stat
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
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The categories of this paper are: econ
31
The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
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The categories of this paper are: math-ph
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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: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph