Physics – Mathematical Physics
Scientific paper
2005-03-16
Lecture notes in Physics, 1871, p. 45--100,2006, Springer, (ed. M.Cannone,T. Miyakawa)
Physics
Mathematical Physics
38 pages, Lectures
Scientific paper
The lectures are devoted to a complete exposition of the theory of singularities of the Navier Stokes equations solution studied by Leray, in a simple geometrical setting in which the fluid is enclosed in a container $\O$ with periodic boundary conditions and side size $L$. The theory is due to the work of Scheffer, Caffarelli, Kohn, Nirenberg and is called here CKN-theory as it is inspired by the work of the last three authors which considerably improved the earlier estimates of Scheffer.
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