Global well-posedness for 3D Navier-Stokes equations with ill-prepared initial data
Langue
en
Article de revue
Ce document a été publié dans
Journal of the Institute of Mathematics of Jussieu. 2014, vol. Volume 13, n° no. 2., p. pp 395-411
Cambridge University Press (CUP)
Résumé en anglais
We study the global well-posedness of 3D Navier-Stokes equations for a class of large initial data. This type of data slowly varies in the vertical direction (expressed as a function of $\epsilon x_3$), and it is ill-prepared ...Lire la suite >
We study the global well-posedness of 3D Navier-Stokes equations for a class of large initial data. This type of data slowly varies in the vertical direction (expressed as a function of $\epsilon x_3$), and it is ill-prepared in the sense that its norm in $C^{-1}$ will blow up at the rate $\epsilon^{-\alpha}$ for $1/2<\alpha<1$ as $\epsilon$ tends to zero.< Réduire
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