Regularity of Solutions to Vorticity Navier – Stokes System on R 2

نویسندگان

  • Maxim Arnold
  • Yuri Bakhtin
  • Efim Dinaburg
چکیده

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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تاریخ انتشار 2005