Exponential decay rate of the power spectrum for solutions of the Navier–Stokes equations Academic Article uri icon


  • Using a method developed by Foias and Temam [J. Funct. Anal. 87, 359 (1989)], exponential decay of the spatial Fourier power spectrum for solutions of the incompressible Navier-Stokes equations is established and explicit rigorous lower bounds on a small length scale defined by the exponential decay rate are obtained. © 1995 American Institute of Physics.

author list (cited authors)

  • Doering, C. R., & Titi, E. S.

citation count

  • 49

publication date

  • June 1995