Abstract
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 Ω. 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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© 2006 Springer-Verlag Berlin/Heidelberg
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Gallavotti, G. (2006). CKN Theory of Singularities of Weak Solutions of the Navier-Stokes Equations. In: Cannone, M., Miyakawa, T. (eds) Mathematical Foundation of Turbulent Viscous Flows. Lecture Notes in Mathematics, vol 1871. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11545989_2
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DOI: https://doi.org/10.1007/11545989_2
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-28586-1
Online ISBN: 978-3-540-32454-6
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