Geodesic
On solutions with infinite energy and enstrophy of the Navier–Stokes system
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 59 (2004) no. 6, pp. 1061-1078 
Yu. Yu. Bakhtin; E. I. Dinaburg; Ya. G. Sinai. On solutions with infinite energy and enstrophy of the Navier–Stokes system. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 59 (2004) no. 6, pp. 1061-1078. http://geodesic.mathdoc.fr/item/RM_2004_59_6_a3/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The Cauchy problem is considered for the Navier–Stokes system. Local and global existence and uniqueness theorems are given for initial data whose Fourier transform decays at infinity as a power-law function with negative exponent and has a power-law singularity at zero. The paper contains a survey of known facts and some new results.

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