Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global well-posedness of the velocity-vorticity-Voigt model of the 3D
  Navier-Stokes equations   The velocity-vorticity formulation of the 3D Navier-Stokes equations was
recently found to give excellent numerical results for flows with strong
rotation. In this work, we propose a new regularization of the 3D Navier-Stokes
equations, which we call the 3D velocity-vorticity-Voigt (VVV) model, with a
Voigt regularization term added to momentum equation in velocity-vorticity
form, but with no regularizing term in the vorticity equation. We prove global
well-posedness and regularity of this model under periodic boundary conditions.
We prove convergence of the model's velocity and vorticity to their
counterparts in the 3D Navier-Stokes equations as the Voigt modeling parameter
tends to zero. We prove that the curl of the model's velocity converges to the
model vorticity (which is solved for directly), as the Voigt modeling parameter
tends to zero. Finally, we provide a criterion for finite-time blow-up of the
3D Navier-Stokes equations based on this inviscid regularization.

14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
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The categories of this paper are: eess
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
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The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: stat