Abstract
The Cauchy problem for the Navier–Stokes system for vorticity on plane is considered. If the Fourier transform of the initial data decays as a power at infinity, then at any positive time the Fourier transform of the solution decays exponentially, i.e. the solution is analytic.
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Communicated by P. Constantin
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Arnold, M., Bakhtin, Y. & Dinaburg, E. Regularity of Solutions to Vorticity Navier–Stokes System on ℝ2. Commun. Math. Phys. 258, 339–348 (2005). https://doi.org/10.1007/s00220-005-1300-2
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DOI: https://doi.org/10.1007/s00220-005-1300-2