JournalsrmiVol. 20, No. 1pp. 223–256

Asymptotic behavior of the energy and pointwise estimates for solutions to the Navier-Stokes equations

  • Lorenzo Brandolese

    Université Lyon 1, Villeurbanne, France
Asymptotic behavior of the energy and pointwise estimates for solutions to the Navier-Stokes equations cover
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Abstract

We study the large time behavior of the energy of a class of Navier-Stokes flows in Rn\mathbb{R}^n (n2)(n\ge2) with special symmetries. Inside this class, we construct examples of solutions such that the energy norm decays faster than t(n+2)/4t^{-(n+2)/4}.

Cite this article

Lorenzo Brandolese, Asymptotic behavior of the energy and pointwise estimates for solutions to the Navier-Stokes equations. Rev. Mat. Iberoam. 20 (2004), no. 1, pp. 223–256

DOI 10.4171/RMI/387