Geodesic
Navier Stokes Derivative Estimates in Three Dimensions with Boundary Values and Body Forces
Canadian journal of mathematics, Tome 43 (1991) no. 6, pp. 1161-1212

Voir la notice de l'article provenant de la source Cambridge University Press

For a vector solution u(x, t) with finite energy of the Navier Stokes equations with body forces and boundary values on a region Ω ⊆ R3 for t > 0, conditions are established on the L6/5 (Ω) and L 2(Ω) norms of derivatives of the data that ensure the estimates and max , up to any given integer value of the weighted order 2r+s, where r or s = s1 + s2 + s3 > 0 and 0 < T < ∞. 
Duff, G. F. D. Navier Stokes Derivative Estimates in Three Dimensions with Boundary Values and Body Forces. Canadian journal of mathematics, Tome 43 (1991) no. 6, pp. 1161-1212. doi: 10.4153/CJM-1991-068-0
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