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Published in:
2019 | OriginalPaper | Chapter
4. Weak Solution of the Navier–Stokes Inequality with a Blow-Up on a Cantor Set
Author : Wojciech S. Ożański
Published in: The Partial Regularity Theory of Caffarelli, Kohn, and Nirenberg and its Sharpness
Publisher: Springer International Publishing
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Abstract
In this chapter, we construct Scheffer’s counterexample (Theorem 1.8), that is, a weak solution of the Navier–Stokes inequality that blows up on a Cantor set \(S\times \{ T_0 \}\) with \(d_H (S)\ge \xi \) for any preassigned \(\xi \in (0,1)\).